{
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  "slug": "twisted-cuprate-twistronics",
  "title": "Twisted Cuprate Twistronics and the Thermodynamic Scaling of Topological Quantum Computation",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "The induction of a 25 meV chiral topological gap in 45-degree twisted Bi-2212 heterostructures enables intrinsically protected quantum computation at 4 Kelvin, effectively resolving the thermodynamic and input-output bottlenecks that constrain current millikelvin superconducting architectures. The crystallographic misalignment of two nodal d-wave order parameters in Bi₂Sr₂CaCu₂O₈₊δ (Bi-2212) at a twist angle of approximately 45 degrees fundamentally alters the superconducting proximity effect. As Volkov et al. (2023) demonstrate, this specific angular configuration enforces an orthogonality between the d_x²-y² wavefunctions of adjacent CuO₂ bilayers, resulting in the destructive interference of single Cooper pair tunneling. Consequently, the first-order Josephson coupling (I_c sin φ) is suppressed, and the junction energetics become dominated by second-order cotunneling processes. This renormalization transforms the current-phase relation into a π-periodic second harmonic form, E_J(φ) ∝ cos(2φ), creating a degenerate double-well potential. [...]",
  "abstract_markdown": "The induction of a 25 meV chiral topological gap in 45-degree twisted Bi-2212 heterostructures enables intrinsically protected quantum computation at 4 Kelvin, effectively resolving the thermodynamic and input-output bottlenecks that constrain current millikelvin superconducting architectures. The crystallographic misalignment of two nodal d-wave order parameters in Bi₂Sr₂CaCu₂O₈₊δ (Bi-2212) at a twist angle of approximately 45 degrees fundamentally alters the superconducting proximity effect. As Volkov et al. (2023) demonstrate, this specific angular configuration enforces an orthogonality between the \\(d_{x^2-y^2}\\) wavefunctions of adjacent CuO₂ bilayers, resulting in the destructive interference of single Cooper pair tunneling. Consequently, the first-order Josephson coupling (\\(I_c \\sin \\phi\\)) is suppressed, and the junction energetics become dominated by second-order cotunneling processes. This renormalization transforms the current-phase relation into a \\(\\pi\\)-periodic second harmonic form, \\(E_J(\\phi) \\propto \\cos(2\\phi)\\), creating a degenerate double-well potential. [...]",
  "date": "2025-12-01",
  "first_published": "2025-12-01",
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    "titles": [
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        "title": "Twisted Cuprate Twistronics and the Thermodynamic Scaling of Topological Quantum Computation"
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        "description": "The induction of a 25 meV chiral topological gap in 45-degree twisted Bi-2212 heterostructures enables intrinsically protected quantum computation at 4 Kelvin, effectively resolving the thermodynamic and input-output bottlenecks that constrain current millikelvin superconducting architectures. The crystallographic misalignment of two nodal d-wave order parameters in Bi₂Sr₂CaCu₂O₈₊δ (Bi-2212) at a twist angle of approximately 45 degrees fundamentally alters the superconducting proximity effect. As Volkov et al. (2023) demonstrate, this specific angular configuration enforces an orthogonality between the d_x²-y² wavefunctions of adjacent CuO₂ bilayers, resulting in the destructive interference of single Cooper pair tunneling. Consequently, the first-order Josephson coupling (I_c sin φ) is suppressed, and the junction energetics become dominated by second-order cotunneling processes. This renormalization transforms the current-phase relation into a π-periodic second harmonic form, E_J(φ) ∝ cos(2φ), creating a degenerate double-well potential. [...]",
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