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Memorial Volume For Shoucheng Zhang [Hardback]

Edited by (Princeton Univ, Usa), Edited by (Pennsylvania State Univ, Usa), Edited by (Harvard Univ, Usa), Edited by (Stanford Univ, Usa), Edited by (Stanford Univ, Usa)
  • Formāts: Hardback, 512 pages
  • Izdošanas datums: 14-Sep-2021
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9811231702
  • ISBN-13: 9789811231704
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  • Formāts: Hardback, 512 pages
  • Izdošanas datums: 14-Sep-2021
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9811231702
  • ISBN-13: 9789811231704
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This book honors the remarkable science and life of Shoucheng Zhang, a condensed matter theorist known for his work on topological insulators, the quantum Hall effect, spintronics, superconductivity, and other fields. It contains the contributions displayed at the Shoucheng Zhang Memorial Workshop held on May 2 – 4, 2019 at Stanford University.



In honor of the late condensed matter theorist Shoucheng Zhang, known for his work on topological insulators, the quantum Hall effect, spintronics, superconductivity, and other fields, this volume presents 16 contributions from the Shoucheng Zhang Memorial Workshop, held in May 2019 at Stanford U. in California. His collaborators, friends, advisees, and former students at the university discuss recent developments in areas like condensed matter physics, high energy physics, quantum information science, computer science, and biology, as well as his scientific life. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)
Foreword xi
Foreword by the Editors xvii
Shouchene Zhang - A physicist of the first rank xix
C.N. Yang
To See a World in a Grain of Sand xxi
Biao Lian
Chao-Xing Liu
Xiao-Qi Sun
Steven Kivelson
Eugene Demler
Xiao-Liang Qi
1 Topological Defects in General Quantum LDPC Codes 1(18)
Pak Kau Lim
Kirill Shtengel
Leonid P. Pryadko
1.1 Introduction
1(2)
1.2 Defect construction
3(2)
1.3 Distance bounds for a defect in a CSS code
5(5)
1.4 Relation with topological entanglement entropy
10(3)
1.5 Conclusions
13(2)
Acknowledgment
15(1)
References
15(4)
2 Quantum Nucleation of Skyrmions in Magnetic Films by Inhomogeneous Fields 19(16)
Sebastian A. Diaz
Daniel P. Arovas
2.1 Introduction
19(2)
2.2 Setup and system preparation
21(1)
2.3 Theoretical model
22(7)
2.4 Results and discussion
29(2)
2.5 Conclusions
31(1)
Acknowledgments
31(1)
References
32(3)
3 In the Pursuit of Majorana Modes in Iron-Based High-T, Superconductors 35(26)
Xianxin Wu
Rui-Xing Zhang
Gang Xu
Jiangping Hu
Chao-Xing Liu
3.1 Introduction
36(1)
3.2 Topological band structure in iron-based superconductors
37(4)
3.3 Majorana modes in iron-based superconductors
41(11)
3.4 Discussion and perspective
52(2)
Acknowledgments
54(1)
References
54(7)
4 Quaternion, Harmonic Oscillator, and High-Dimensional Topological States 61(42)
Congjun Wu
4.1 Introduction
61(4)
4.2 Histories of complex number and quaternion
65(4)
4.3 Complex analyticity and two-dimensional Landau levels
69(3)
4.4 3D Landau-level and quaternionic analyticity
72(11)
4.5 Dimensional reductions: 2D and 3D Landau levels with broken parity
83(5)
4.6 High-dimensional Landau levels of Dirac fermions
88(4)
4.7 High-dimensional Landau levels in the Landau-like gauge
92(5)
4.8 Conclusions and outlooks
97(1)
Acknowledgments
98(1)
References
99(4)
5 Right and Left in Quantum Dynamics of Solids 103(22)
Naoto Nagaosa
Takahiro Morimoto
5.1 Introduction
103(1)
5.2 Onsager's reciprocal theorem and nonreciprocal linear responses
104(1)
5.3 Magnetochiral anisotropy of nonlinear conduction
105(4)
5.4 Ratchet
109(3)
5.5 Electron correlation and nonreciprocal transport
112(3)
5.6 Shift current
115(5)
5.7 Discussion and conclusions
120(2)
Acknowledgments
122(1)
References
122(3)
6 Spintronics Meets Topology 125(22)
Shuichi Murakami
6.1 Introduction
125(1)
6.2 Intrinsic spin Hall effect
126(2)
6.3 Topological insulators
128(1)
6.4 Topological semimetals
129(4)
6.5 Material realization of topological phases
133(6)
6.6 Non-hermitian systems
139(4)
6.7 Summary
143(1)
Acknowledgments
143(1)
References
143(4)
7 Thermalization and Its Absence within Krylov Subspaces of a Constrained Hamiltonian 147(64)
Sanjay Moudgalya
Abhinav Prem
Rahul Nandkishore
Nicolas Regnault
B. Andrei Bernevig
7.1 Introduction
147(4)
7.2 Model and its symmetries
151(3)
7.3 Hamiltonian at 1/2 filling
154(3)
7.4 Krylov fracture
157(3)
7.5 Integrable subspaces
160(10)
7.6 Nonintegrable subspaces and Krylov-restricted ETH
170(4)
7.7 Quasilocalization from thermalization
174(3)
7.8 Connections with Bloch MBL
177(4)
7.9 Conclusions and open questions
181(25)
Acknowledgments
206(1)
References
206(5)
8 Classification of Strongly Disordered Topological Wires Using Machine Learning 211(14)
Ye Zhuang
Luiz H. Santos
Taylor L. Hughes
8.1 Introduction
211(2)
8.2 Model
213(1)
8.3 Results
214(7)
8.4 Summary
221(1)
Acknowledgments
222(1)
References
222(3)
9 Topological Physics with Mercury Telluride 225(18)
Saquib Shamim
Hartmut Buhmann
Laurens W. Molenkamp
9.1 Introduction
225(1)
9.2 Bandstructure of HgTe
226(2)
9.3 HgTe as 2D topological insulator: Realization of quantum spin Hall effect
228(6)
9.4 HgTe as 3D topological insulator
234(4)
9.5 Conclusion and outlook
238(1)
References
239(4)
10 Topology and Interactions in InAs/GaSb Quantum Wells 243(20)
Rui-Rui Du
10.1 Introduction
244(2)
10.2 Quantum spin hall effect
246(5)
10.3 Topological excitonic insulator
251(2)
10.4 1D helical Luttinger liquid
253(2)
10.5 Future perspectives
255(2)
Acknowledgments
257(1)
References
257(6)
11 First Principle Calculation of the Effective Zeeman's Couplings in Topological Materials 263(20)
Zhida Song
Song Sun
Yuanfeng Xu
Simin Nie
Hongming Weng
Zhong Fang
Xi Dai
11.1 Introduction
263(1)
11.2 Theory
264(2)
11.3 First principle calculations
266(7)
11.4 Discussions
273(2)
11.5 Summary
275(2)
Acknowledgments
277(1)
References
278(5)
12 Anomaly Inflow and the n-Invariant 283(70)
Edward Witten
Kazuya Yonekura
12.1 Introduction
283(3)
12.2 A precise formula for anomaly inflow
286(32)
12.3 The anomaly
318(11)
12.4 Examples in dimensions d = 1, 2, 3, 4
329(20)
Acknowledgments
349(1)
References
349(4)
13 Detection of the Orbital Hall Effect by the Orbital-Spin Conversion 353(12)
Jiewen Xiao
Yizhou Liu
Binghai Yan
13.1 Introduction
353(1)
13.2 Results and discussions
354(9)
13.3 Summary
363(1)
Acknowledgments
363(1)
References
363(2)
14 Non-Bloch Band Theory and Beyond 365(24)
Zhong Wang
14.1 Introduction
365(1)
14.2 Band theory and topology
366(2)
14.3 Non-Hermitian physics
368(3)
14.4 Non-Bloch band theory
371(8)
14.5 Applications of non-Bloch band theory
379(4)
14.6 Outlooks
383(1)
Acknowledgments
384(1)
References
384(5)
15 Quantum Anomalous Hall Effect in Magnetic Topological Insulators 389(14)
Yayu Wang
Ke He
Qikun Xue
15.1 Introduction
389(2)
15.2 Experimental realization of the quantum anomalous Hall effect
391(7)
15.3 Recent progresses on the quantum anomalous Hall effect
398(2)
References
400(3)
16. SciviK: A Versatile Framework for Specifying and Verifying Smart Contracts 403(36)
Shaokai Lin
Xinyuan Sun
Jianan Yao
Ronghui Gu
16.1 Introduction
403(3)
16.2 Overview
406(5)
16.3 The annotation system
411(1)
16.4 Generating annotated IR
412(3)
16.5 Translating annotated IR into WhyML
415(6)
16.6 Generating verification conditions
421(3)
16.7 Evaluation
424(8)
16.8 Related work
432(1)
16.9 Conclusion
433(1)
Acknowledgments
434(1)
References
434(5)
Appendix: Schedule of the Shoucheng Zhang Memorial Workshop 439