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 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.
- Authors:
-
- Stanford Univ., Stanford, CA (United States); Princeton Univ., Princeton, NJ (United States)
- Fudan Univ., Shanghai (China); Collaborative Innovation Center of Advanced Microstructures, Nanjing (China)
- Stanford Univ., Stanford, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- 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. https://doi.org/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. https://doi.org/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 = {Fri Mar 09 00:00:00 EST 2018},
month = {Fri Mar 09 00:00:00 EST 2018}
}
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Figures / Tables:
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 »
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