25: Chapter 25 A Thousand Failures and a Flash of Inspiration

Days at the Tianqiong base flowed in absolute silence, yet stirred stormy waves in the universe of thought. The concept of time became blurred here, marked only by the leaping calculation processes on the screens, the flickering encrypted characters in the virtual workspace, and the body's instinctive need for nutrients and brief sleep.

The Deep Blue virtual theory group soon demonstrated its "unorthodox" nature. The echoes of the first asynchronous discussion were like a giant boulder thrown into a deep pool, stirring up not ripples, but surging undercurrents.

The young professor from a southern university who researches quantum critical fluctuations (codename "Tide") was the first to speak out: "Existing superconductivity theories, whether BCS or its derivatives, are built on the paradigms of 'pairing' and 'long-range phase coherence.' But what if we step outside? Near the quantum critical point of strong correlation and strong fluctuation, the system might be on the edge of a 'near-ordered' chaos. Perhaps electrons do not need to form traditional Cooper pairs, but instead achieve dissipationless transport through some global, dynamic quantum entanglement network? It sounds like a fantasy, but the strange behavior of some heavy fermion materials suggests that the conventional paradigm may need to be expanded."

A senior researcher from the Computational Materials Center (codename "Weaver") approached from another angle: "I tried using our developed high-throughput computing combined with graph neural networks to scan hundreds of thousands of known and virtual binary and ternary compound structures, looking for candidate materials that might have strong electron-phonon coupling, exotic electronic topology, or special magnetic fluctuations under normal or moderate pressure. The results... are discouraging. Most known structures have already been explored, and their performance has an upper limit. As for those virtual structures that might be 'interesting' in theory, they are either thermodynamically extremely unstable or their synthesis paths are as difficult as climbing to heaven. Perhaps the problem isn't that we haven't calculated enough structures, but that the 'material' we are looking for might not be a compound crystal in the traditional sense."

The compact astrophysicist from the observatory (codename "Stardust") made an even more startling statement: "Superfluidity and possible superconductivity inside neutron stars occur in extreme environments with densities as high as a billion tons per cubic centimeter and magnetic fields as strong as a billion Tesla. Their mechanisms must be fundamentally different from the physics in Earth laboratories. There, nucleons (neutrons and protons) themselves may form superfluids, and pion or kaon condensation might provide equivalent 'bosons' to transmit interactions. Although we cannot replicate such density on Earth, the physical ideas contained within—boson condensation or topological order that goes beyond electron-phonon/magnetic fluctuation pairing—might inspire us to consider whether a certain 'order parameter' that we haven't yet recognized, capable of leading to macroscopic quantum coherence (zero resistance), might exist under 'mild' conditions?"

Topologist's (codename "Topologist") speech was as calm and sharp as ever: "From a topological perspective, superconductivity is essentially a non-trivial topological state caused by symmetry breaking. Searching for room-temperature superconductivity might be equivalent to searching for a quantum state of matter with specific topological protection that remains stable at high temperatures. This might require the material to simultaneously possess a special band structure (such as topological flat bands, which can greatly enhance electronic correlation), strong spin-Orbit coupling, and some kind of interaction (not necessarily phonons) capable of 'pinning' this topological order. Our modeling tools (such as tensor networks) might help us theoretically construct and screen microscopic models of this 'high-temperature topological superconductivity,' even though its experimental realization might be extremely demanding."

Lin Shen (codename "Pathfinder" within the group) carefully chewed on every line of thought. Some of these ideas were radical, some obscure, and some sounded almost contrary to existing physical laws, but they all pointed in a common direction: room-temperature superconductivity, if it exists, likely requires a fundamental revolution in the cognitive paradigm of superconductivity physics, rather than just parameter optimization within the existing framework.

He integrated these ideas and, combining them with the most marginal and controversial experimental reports in the Xinghai database (such as certain teams claiming to have observed 'suspected superconducting fluctuations' or extremely low resistance behavior far exceeding theoretical expectations in complex oxide interfaces, specific organic charge-transfer salts, or even specially treated graphene multilayer structures, all of which could not be repeated or confirmed), he set the exploration direction for the first stage of the heart of deep blue computational simulation.

Each of these directions was like a single-plank bridge leading into the unknown mist:

Quantum critical fluctuation model calculation: Simulating the introduction of carefully designed quantum critical points in hypothetical two-dimensional or three-dimensional strongly correlated electronic systems, calculating their transport properties, and exploring whether resistance might drop sharply or even disappear near the critical region due to some unconventional "quantum coherence." The computational load is enormous, and the theoretical model itself is controversial.

Unconventional material space search: No longer limited to perfect periodic crystals. Instructing Weaver's algorithm to start scanning and simulating amorphous alloys, compositional gradient materials, "designed disorder" systems with large amounts of controllable defects, and the electronic structures of low-dimensional heterojunctions at specific stacking angles and strains. The goal is no longer to find "stable compounds," but to find "metastable configurations" or "interface effects" that may have exotic electronic states and strong interactions.

Simplified models inspired by extreme physical mechanisms: Attempting to apply some simplified models from compact astrophysics mentioned by Stardust (such as variants of Bose-Einstein condensation, effective field theories based on chiral symmetry, etc.), after extreme simplification and transformation, to effective models of condensed matter systems to calculate their possible ground state properties and excitation spectra. This is almost the "black magic" of theoretical physics, with a slim chance of success.

Mathematical modeling of high-temperature topological superconductivity: Led by Topologist, using tools such as tensor networks to try to construct and solve some highly simplified lattice models that contain topological flat bands, strong spin-Orbit coupling, and specific electron-electron interactions, searching for theoretical conditions under which the superconducting transition temperature could be significantly increased.

The three percent exclusive computing power of the heart of deep blue also seemed stretched thin while simultaneously advancing these four high-risk exploration paths. On the screen, thousands of calculation tasks waited in queues, ran, reported errors, or finally output a cold conclusion of "no expected phenomenon found."

Failure became the norm.

In the first path, after weeks of calculation, the quantum critical fluctuation model showed that in most parameter spaces, the system either became an insulator or displayed weird resistance behavior without clear signs of superconductivity. The so-called "quantum coherent transport" was difficult to clearly distinguish from the low-temperature behavior of ordinary metals. A few seemingly "interesting" parameter points were also proven to be products of numerical errors or overly idealized model assumptions after more refined calculations.

The second path, the search in unconventional material space, was even more like looking for a needle in a haystack. Although the calculations filtered out some virtual structures with peculiar electronic densities of states, they were either extremely high in energy (meaning they were almost impossible to synthesize) or extremely sensitive to tiny structural changes (meaning they could not exist stably in reality). Those models based on interfaces and defects, although occasionally calculating lower densities of states or exotic band shapes, still seemed to be separated by a natural chasm from generating strong correlation or even superconductivity.

The third path, models inspired by astrophysics, barely managed to get some results after experiencing several initial crashes due to mathematical inconsistency. However, these results often had blurred physical images and were difficult to establish even the most conceptual connection with real materials, looking more like mathematical games.

Only the fourth path, the high-temperature topological superconductivity modeling led by Topologist, provided some relatively clear (though still demanding) theoretical predictions. His model showed that under certain extremely idealized conditions (such as perfect topological flat bands and specific forms of proximity electron repulsion-attraction competition), the theoretical upper limit of the superconducting transition temperature could indeed be much higher than traditional estimates, even... approaching the liquid nitrogen temperature range (77K). But this requires the material to simultaneously satisfy several "miracle" conditions that are almost impossible to achieve at the same time in reality, and many details of the model still need to be refined.

Progress was slow, and the sense of frustration grew day by day. Although everyone understood that the Deep Blue project was a high-risk exploration, the failure of thousands of calculation simulations over several consecutive weeks still quietly eroded that initial passion like the thin but ubiquitous air on a plateau.

Lin Shen spent a lot of time every day reviewing massive failure reports and scattered uncertain results, trying to find any traces of patterns or systematic deviations. At the same time, he had to receive briefings on the progress of other projects from Sun Qiming, Shen Hong, He Yun, and others via highly encrypted independent links and make remote decisions.

On the topological quantum side, Professor Professor Wu Qingquan's team was fine-tuning the process for the second round of sample growth. Topologist corrected the theoretical model based on the first round of failure data, and Shen Hong optimized the subsequent strong magnetic field experiment plan. Everything was proceeding according to plan, but a breakthrough would still take time.

Regarding fusion material alternatives, several domestic teams were urgently tackling the problem, trying to use other rare earth element combinations or new synthesis paths to replace the raw materials that were being bottlenecked. Preliminary results showed a performance gap, but it was not completely hopeless; it just needed time for optimization.

Regarding the efficiency issue of "on-chip light sources" in photonic integration, He Yun achieved a significant improvement in simulation by introducing a new type of Photonic Crystal resonant cavity design and was preparing for tape-out verification.

Every line was advancing with difficulty, but none had decisive good news. And the Deep Blue project, the arrow entrusted with the expectation of "finding a miracle," seemed to be shooting towards the deepest void.

[part:gemini-3.1-flash-lite]

Late that night (according to the base's simulated day-night cycle), Lin Shen finished reviewing a new batch of failed calculation results, feeling a deep sense of exhaustion and a hint of confusion.

He walked to the massive simulated exterior screen and switched it to the real night sky.

The starry sky over the plateau remained dazzling, with the Milky Way cascading across the firmament like a waterfall.

That eternal and indifferent starlight seemed to mock the futility of humanity's attempt to create miracles in the microscopic world.

Subconsciously, he sank his consciousness into his mind and looked at the technology tree.

That branch pointing toward [Room-Temperature Superconducting Material Exploration] seemed to have had no movement since that initial faint tremor; it remained dim, its prerequisites obscure.

Could it be... that there really was no way forward? Could even an existence as beyond-cognition as the technology tree fail to point toward a viable direction? Or was it possible that his method of understanding, his path of exploration, was fundamentally wrong from the start?

He aimlessly browsed through other parts of the technology tree, his gaze sweeping over the [Photonic Chip Basic Architecture] on the [Information and Computing] branch, which had already been partially lit up, over the slowly charging [Topological Quantum Computing], and over the massive and complex [Controlled Nuclear Fusion]...

Suddenly, his gaze rested on an extremely minute tip of the [Information and Computing] branch.

There sat a very inconspicuous sub-node that he had never paid much attention to before, located in the intersection area between photonic chips and quantum computing—[Photonic-Quantum Interface State Regulation and Energy Transfer].

This node described the use of special photonic structures (such as Photonic Crystal) and the coupling of quantum systems (such as quantum dots and color centers) to achieve efficient, controllable photonic-quantum state conversion and energy transfer.

This was originally intended as underlying technology for future optical quantum computing or quantum networks.

But at that moment, it was as if this inconspicuous glimmer had suddenly illuminated a corner of Lin Shen's mind that had been hidden in the shadows of his thoughts all along!

Energy transfer! Interface state regulation!

An extremely bold, perhaps even insane, association exploded like thunder in his weary mind:

What if... the "room-temperature superconductivity" we are looking for is not an intrinsic property of a bulk material at all, but rather a highly localized, dynamic "collective quantum effect" induced by a specific "interface" or "heterostructure"?

Just as Photonic Crystal can manipulate the flow of photons, and the edges of topological insulators can conduct dissipationless spin currents...

Could there exist some artificially designed, nanoscale heterostructure (for example, stacking Material A, which has strong electron correlation, with Material B, which has special photonic or phonon modes, in a specific way) where, at the interface, due to the strong coupling and mutual "driving" of the two materials' quantum properties, a brand new "boson" condensation mode or "quantum coherent network" is generated that is impossible in a single material, thereby achieving dissipationless transport of electrons within the extremely thin region near the interface?

This "interface superconductivity" might be extremely fragile, existing only within the thickness of a few atomic layers, and be extremely sensitive to the atomic arrangement of the interface, electron doping, and even external stimuli (such as light or electric fields of specific frequencies), making it extremely difficult to repeatedly observe and verify.

But it might not require harsh high pressure or extremely low temperatures; its "high-temperature" characteristic would stem from the new energy scale introduced by the interface coupling!

This idea was so counterintuitive, forcibly linking superconductivity, a typical "bulk" effect, with "interface" engineering.

Yet it ingeniously connected those wild and imaginative ideas within the Deep Blue group: the quantum fluctuations and correlation networks of Tide might occur at the interface; the exotic material combinations and metastable states that the Weaver was looking for might be exactly what was needed to construct such a special interface; the non-traditional boson condensation ideas of Stardust might be realized in some variant form within the low-dimensional, confined system of the interface; and the topological protection of the Topologist might be used to stabilize this fragile interfacial quantum state!

More importantly, this idea resonated strongly with his own area of expertise—material interface engineering (whether it was silicon-based interface modification for photonic chips or heterojunction design in topological quantum exploration)!

He had always been studying how to change the macroscopic properties of materials by precisely controlling interfaces at the microscopic scale!

Lin Shen's heart pounded wildly, and blood seemed to rush to his head in an instant.

He spun around and lunged back to his workstation, his fingers trembling slightly with excitement.

He pulled up the control interface of the heart of deep blue and quickly created a brand new calculation task with the codename "Interface Storm".

He did not attempt to build a complex first-principles model, as that was too slow and not necessarily applicable.

He chose a path that leaned more towards a "thought experiment" and "effective model."

He hypothesized an extremely simplified theoretical framework: considering two adjacent two-dimensional material layers (Layer A having strong electron correlation and possible magnetic fluctuations, and Layer B having a special band structure strongly coupled with some kind of boson mode (such as optical phonons or plasmons)).

The two layers were coupled through tunneling and Coulomb interaction.

Then, he introduced a bold hypothesis: under specific band alignment, doping, and interlayer coupling strength, the boson mode of Layer B might be "driven" or "modulated" by the electron fluctuations of Layer A; in turn, this modulated boson mode might act as a medium, inducing some kind of non-traditional, dynamic, effective attractive interaction between the electrons in Layer A that depended on the strength of the interface coupling.

This effective interaction might be very strong, and its energy scale, determined by the interface coupling, could be far higher than the characteristic energy of traditional bulk materials, thereby theoretically allowing for a higher superconducting transition temperature.

He quickly wrote a highly parameterized model Hamiltonian based on this simplified framework and submitted it to the heart of deep blue for rapid numerical diagonalization and Monte Carlo simulation, scanning the key parameter space (interlayer coupling strength, doping, boson mode frequency, etc.).

The calculation task began to run. The progress bar climbed slowly.

Lin Shen stared intently at the screen, almost forgetting to breathe.

He knew that this model was overly simplified, full of assumptions, and might be a long, long way from real physics.

This could not even be considered a rigorous theoretical deduction; it was more like a crazy "numerical gamble" based on intuition and association.

Time passed minute by minute. The night sky over the plateau rotated slowly on the simulated screen.

Finally, after experiencing several calculation crashes due to improper parameter settings, a new set of calculation results was output.

Lin Shen couldn't wait to open the results file.

On the screen, a phase diagram was presented.

The horizontal axis was the interlayer coupling strength, the vertical axis was the electron doping concentration, and the color indicated the system's ground state tendency calculated according to the model.

In a large area of the phase diagram, mediocre metallic or insulating phases were displayed.

However, on a certain very narrow "island" where specific interlayer coupling strength and doping concentration intersected, the color markers indicated that the system's ground state tended toward an "anomalous, gap-opening metallic state," and according to linear response theory calculations, the current-current correlation function at zero frequency showed signs of divergence—this was precisely the theoretical signature of superconducting fluctuations or the emergence of superconducting order under the mean-field approximation!

More crucially, according to the model estimation, the characteristic temperature corresponding to this "island" (which could be roughly understood as the upper limit of the superconducting transition temperature) actually reached the order of hundreds of Kelvin (K)!

Although this was just an order-of-magnitude estimate based on an extremely simplified model, with no actual material correspondence, the number itself far exceeded all currently known superconductors, entering the room-temperature range!

Lin Shen felt a violent wave of dizziness; he steadied himself by holding onto the workstation.

A sudden flash of inspiration, combined with the brute-force calculation of the heart of deep blue, had actually dug up a tiny, uncertain "new continent" that shimmered with the theoretical possibility of "room-temperature superconductivity" in a corner of an illusory theoretical model!

This was certainly not the answer; it might even be just a mathematical phantom.

But the appearance of this phantom was, in itself, of extraordinary significance.

It proved that under a thinking framework that transcended existing paradigms, "room-temperature superconductivity" might not be an absolute forbidden zone in theory.

It pointed toward a path that had never been seriously explored: using artificial heterostructure interfaces, through meticulously designed quantum state coupling, to "create" or "induce" high-temperature or even room-temperature superconducting behavior.

This required brand-new material design concepts, unprecedented precision in interface control, and a profound understanding of complex coupled physics.

Its difficulty might be even higher than synthesizing a brand-new bulk material.

But at least, there was now a path to attempt to explore and to falsify! Rather than hopelessly repeating failures in the traditional material space.

Lin Shen took a few deep breaths of the thin, cold air, forcing himself to calm down.

He organized these preliminary, crude, and almost rudimentary simulation results, along with the theoretical hypothesis of "interface-induced high-temperature/room-temperature superconductivity" he had proposed based on them, into a highly encrypted briefing, sent it via an independent link to every member of the Deep Blue virtual theory group, and requested them to critique, refine, or provide new calculation verification ideas for this crazy idea from their respective perspectives.

At the same time, he also organized the core conclusions and follow-up research suggestions of this briefing into the first phase report of the Deep Blue project, preparing to submit it to Director Zhao and Academician Qin.

A thousand failures might just be waiting for this one flash of inspiration.

And could this flicker truly ignite that unreachable light of "room temperature"?

The dawn on the plateau was brewing the faint light of a new day behind the distant mountain ridge.