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Title: Quantum phase transition of chiral Majorana fermions in the presence of disorder

Abstract

Here, we study the quantum phase transitions of a disordered two-dimensional quantum anomalous Hall insulator with s-wave superconducting proximity, which are governed by the percolation theory of chiral Majorana fermions. Based on symmetry arguments and a renormalization-group analysis, we show there are generically two phase transitions from Bogoliubov–de Gennes Chern number N=0 to N=1(p+ip chiral topological superconductor) and then to N=2, in agreement with the conclusion from the band theory without disorders. Further, we discuss the critical scaling behavior of the e 2/2h conductance half plateau induced by the N=1 chiral topological superconductor recently observed in the experiment. In particular, we compare the critical behavior of the half plateau induced by the topological superconductor with that predicted recently by alternative explanations of the half plateau and show that they can be distinguished in experiments.

Authors:
 [1];  [2];  [3];  [3];  [3]
  1. Stanford Univ., Stanford, CA (United States); Princeton Univ., Princeton, NJ (United States)
  2. Fudan Univ., Shanghai (China); Collaborative Innovation Center of Advanced Microstructures, Nanjing (China)
  3. Stanford Univ., Stanford, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1437231
Alternate Identifier(s):
OSTI ID: 1425236
Grant/Contract Number:  
11774065; 17ZR1442500; GBMF4302; DMR-1305677; AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 12; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Lian, Biao, Wang, Jing, Sun, Xiao -Qi, Vaezi, Abolhassan, and Zhang, Shou -Cheng. Quantum phase transition of chiral Majorana fermions in the presence of disorder. United States: N. p., 2018. Web. doi:10.1103/physrevb.97.125408.
Lian, Biao, Wang, Jing, Sun, Xiao -Qi, Vaezi, Abolhassan, & Zhang, Shou -Cheng. Quantum phase transition of chiral Majorana fermions in the presence of disorder. United States. doi:10.1103/physrevb.97.125408.
Lian, Biao, Wang, Jing, Sun, Xiao -Qi, Vaezi, Abolhassan, and Zhang, Shou -Cheng. Fri . "Quantum phase transition of chiral Majorana fermions in the presence of disorder". United States. doi:10.1103/physrevb.97.125408. https://www.osti.gov/servlets/purl/1437231.
@article{osti_1437231,
title = {Quantum phase transition of chiral Majorana fermions in the presence of disorder},
author = {Lian, Biao and Wang, Jing and Sun, Xiao -Qi and Vaezi, Abolhassan and Zhang, Shou -Cheng},
abstractNote = {Here, we study the quantum phase transitions of a disordered two-dimensional quantum anomalous Hall insulator with s-wave superconducting proximity, which are governed by the percolation theory of chiral Majorana fermions. Based on symmetry arguments and a renormalization-group analysis, we show there are generically two phase transitions from Bogoliubov–de Gennes Chern number N=0 to N=1(p+ip chiral topological superconductor) and then to N=2, in agreement with the conclusion from the band theory without disorders. Further, we discuss the critical scaling behavior of the e2/2h conductance half plateau induced by the N=1 chiral topological superconductor recently observed in the experiment. In particular, we compare the critical behavior of the half plateau induced by the topological superconductor with that predicted recently by alternative explanations of the half plateau and show that they can be distinguished in experiments.},
doi = {10.1103/physrevb.97.125408},
journal = {Physical Review B},
number = 12,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

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Cited by: 13 works
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Figures / Tables:

Figure 1 Figure 1: (a) Illustration of the QAHI/TSC/QAHI junction, where a QAHI thin film is in proximity with an s-wave SC on top in the middle region. (b)-(d) Evolution of BdG Chern number $\mathcal{N}$ = 0, 1, 2 regions during the domain flipping process where each of the two chiral Majoranamore » states γa and γb undergoes a delocalization transition. (b), (c) and (d) show configurations where $\mathcal{N}$ = 2, 1 and 0 regions are extended, respectively. III.« less

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.