Foreword |
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Foreword by the Editors |
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Shouchene Zhang - A physicist of the first rank |
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To See a World in a Grain of Sand |
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1 Topological Defects in General Quantum LDPC Codes |
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1 | (18) |
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1 | (2) |
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3 | (2) |
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1.3 Distance bounds for a defect in a CSS code |
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5 | (5) |
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1.4 Relation with topological entanglement entropy |
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10 | (3) |
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13 | (2) |
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15 | (1) |
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15 | (4) |
2 Quantum Nucleation of Skyrmions in Magnetic Films by Inhomogeneous Fields |
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19 | (16) |
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19 | (2) |
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2.2 Setup and system preparation |
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21 | (1) |
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22 | (7) |
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2.4 Results and discussion |
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29 | (2) |
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31 | (1) |
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31 | (1) |
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32 | (3) |
3 In the Pursuit of Majorana Modes in Iron-Based High-T, Superconductors |
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35 | (26) |
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36 | (1) |
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3.2 Topological band structure in iron-based superconductors |
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37 | (4) |
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3.3 Majorana modes in iron-based superconductors |
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41 | (11) |
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3.4 Discussion and perspective |
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52 | (2) |
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54 | (1) |
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54 | (7) |
4 Quaternion, Harmonic Oscillator, and High-Dimensional Topological States |
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61 | (42) |
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61 | (4) |
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4.2 Histories of complex number and quaternion |
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65 | (4) |
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4.3 Complex analyticity and two-dimensional Landau levels |
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69 | (3) |
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4.4 3D Landau-level and quaternionic analyticity |
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72 | (11) |
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4.5 Dimensional reductions: 2D and 3D Landau levels with broken parity |
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83 | (5) |
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4.6 High-dimensional Landau levels of Dirac fermions |
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88 | (4) |
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4.7 High-dimensional Landau levels in the Landau-like gauge |
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92 | (5) |
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4.8 Conclusions and outlooks |
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97 | (1) |
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98 | (1) |
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99 | (4) |
5 Right and Left in Quantum Dynamics of Solids |
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103 | (22) |
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103 | (1) |
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5.2 Onsager's reciprocal theorem and nonreciprocal linear responses |
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104 | (1) |
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5.3 Magnetochiral anisotropy of nonlinear conduction |
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105 | (4) |
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109 | (3) |
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5.5 Electron correlation and nonreciprocal transport |
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112 | (3) |
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115 | (5) |
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5.7 Discussion and conclusions |
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120 | (2) |
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122 | (1) |
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122 | (3) |
6 Spintronics Meets Topology |
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125 | (22) |
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125 | (1) |
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6.2 Intrinsic spin Hall effect |
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126 | (2) |
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6.3 Topological insulators |
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128 | (1) |
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6.4 Topological semimetals |
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129 | (4) |
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6.5 Material realization of topological phases |
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133 | (6) |
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6.6 Non-hermitian systems |
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139 | (4) |
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143 | (1) |
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143 | (1) |
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143 | (4) |
7 Thermalization and Its Absence within Krylov Subspaces of a Constrained Hamiltonian |
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147 | (64) |
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147 | (4) |
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7.2 Model and its symmetries |
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151 | (3) |
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7.3 Hamiltonian at 1/2 filling |
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154 | (3) |
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157 | (3) |
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160 | (10) |
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7.6 Nonintegrable subspaces and Krylov-restricted ETH |
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170 | (4) |
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7.7 Quasilocalization from thermalization |
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174 | (3) |
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7.8 Connections with Bloch MBL |
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177 | (4) |
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7.9 Conclusions and open questions |
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181 | (25) |
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206 | (1) |
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206 | (5) |
8 Classification of Strongly Disordered Topological Wires Using Machine Learning |
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211 | (14) |
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211 | (2) |
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213 | (1) |
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214 | (7) |
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221 | (1) |
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222 | (1) |
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222 | (3) |
9 Topological Physics with Mercury Telluride |
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225 | (18) |
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225 | (1) |
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9.2 Bandstructure of HgTe |
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226 | (2) |
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9.3 HgTe as 2D topological insulator: Realization of quantum spin Hall effect |
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228 | (6) |
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9.4 HgTe as 3D topological insulator |
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234 | (4) |
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9.5 Conclusion and outlook |
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238 | (1) |
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239 | (4) |
10 Topology and Interactions in InAs/GaSb Quantum Wells |
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243 | (20) |
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244 | (2) |
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10.2 Quantum spin hall effect |
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246 | (5) |
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10.3 Topological excitonic insulator |
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251 | (2) |
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10.4 1D helical Luttinger liquid |
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253 | (2) |
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255 | (2) |
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257 | (1) |
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257 | (6) |
11 First Principle Calculation of the Effective Zeeman's Couplings in Topological Materials |
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263 | (20) |
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263 | (1) |
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264 | (2) |
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11.3 First principle calculations |
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266 | (7) |
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273 | (2) |
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275 | (2) |
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277 | (1) |
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278 | (5) |
12 Anomaly Inflow and the n-Invariant |
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283 | (70) |
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283 | (3) |
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12.2 A precise formula for anomaly inflow |
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286 | (32) |
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318 | (11) |
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12.4 Examples in dimensions d = 1, 2, 3, 4 |
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329 | (20) |
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349 | (1) |
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349 | (4) |
13 Detection of the Orbital Hall Effect by the Orbital-Spin Conversion |
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353 | (12) |
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353 | (1) |
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13.2 Results and discussions |
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354 | (9) |
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363 | (1) |
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363 | (1) |
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363 | (2) |
14 Non-Bloch Band Theory and Beyond |
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365 | (24) |
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365 | (1) |
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14.2 Band theory and topology |
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366 | (2) |
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14.3 Non-Hermitian physics |
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368 | (3) |
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14.4 Non-Bloch band theory |
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371 | (8) |
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14.5 Applications of non-Bloch band theory |
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379 | (4) |
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383 | (1) |
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384 | (1) |
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384 | (5) |
15 Quantum Anomalous Hall Effect in Magnetic Topological Insulators |
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389 | (14) |
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389 | (2) |
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15.2 Experimental realization of the quantum anomalous Hall effect |
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391 | (7) |
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15.3 Recent progresses on the quantum anomalous Hall effect |
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398 | (2) |
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400 | (3) |
16. SciviK: A Versatile Framework for Specifying and Verifying Smart Contracts |
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403 | (36) |
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403 | (3) |
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406 | (5) |
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16.3 The annotation system |
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411 | (1) |
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16.4 Generating annotated IR |
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412 | (3) |
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16.5 Translating annotated IR into WhyML |
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415 | (6) |
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16.6 Generating verification conditions |
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421 | (3) |
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424 | (8) |
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432 | (1) |
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433 | (1) |
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434 | (1) |
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434 | (5) |
Appendix: Schedule of the Shoucheng Zhang Memorial Workshop |
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