Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions
Abstract
We reveal that topological Josephson junctions provide a natural platform for the interplay between the Josephson effect and the Landau-Zener effect through a two-level system formed by coupled Majorana modes. We build a quantum resistively shunted junction (RSJ) model by modifying the standard textbook RSJ model to take account of the two-level system from the Majorana modes at the junction. We show that the dynamics of the two-level system is governed by a nonlinear Schrödinger equation and solve the equations analytically via a mapping to a classical dynamical problem. This nonlinear dynamics leads to hysteresis in the I-V characteristics, which can give a quantitative explanation to recent experiments. Furthermore, we also predict the coexistence of two interference patterns with periods h/e and h/2e in topological superconducting quantum interference devices.
- Authors:
-
- Sun Yat-sen Univ., Guangzhou (China)
- Univ. of Houston, TX (United States)
- Sun Yat-sen Univ., Guangzhou (China); Univ. of Texas, Austin, TX (United States)
- Univ. of Texas, Austin, TX (United States)
- Publication Date:
- Research Org.:
- Univ. of Texas, Austin, TX (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1614568
- Alternate Identifier(s):
- OSTI ID: 1479609
- Grant/Contract Number:
- FG03-02ER45958
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 98; Journal Issue: 13; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials Science; Physics; Josephson effect; Quantum feedback; Schroedinger equation
Citation Formats
Feng, Jia-Jin, Huang, Zhao, Wang, Zhi, and Niu, Qian. Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions. United States: N. p., 2018.
Web. doi:10.1103/physrevb.98.134515.
Feng, Jia-Jin, Huang, Zhao, Wang, Zhi, & Niu, Qian. Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions. United States. https://doi.org/10.1103/physrevb.98.134515
Feng, Jia-Jin, Huang, Zhao, Wang, Zhi, and Niu, Qian. Mon .
"Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions". United States. https://doi.org/10.1103/physrevb.98.134515. https://www.osti.gov/servlets/purl/1614568.
@article{osti_1614568,
title = {Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions},
author = {Feng, Jia-Jin and Huang, Zhao and Wang, Zhi and Niu, Qian},
abstractNote = {We reveal that topological Josephson junctions provide a natural platform for the interplay between the Josephson effect and the Landau-Zener effect through a two-level system formed by coupled Majorana modes. We build a quantum resistively shunted junction (RSJ) model by modifying the standard textbook RSJ model to take account of the two-level system from the Majorana modes at the junction. We show that the dynamics of the two-level system is governed by a nonlinear Schrödinger equation and solve the equations analytically via a mapping to a classical dynamical problem. This nonlinear dynamics leads to hysteresis in the I-V characteristics, which can give a quantitative explanation to recent experiments. Furthermore, we also predict the coexistence of two interference patterns with periods h/e and h/2e in topological superconducting quantum interference devices.},
doi = {10.1103/physrevb.98.134515},
journal = {Physical Review. B},
number = 13,
volume = 98,
place = {United States},
year = {Mon Oct 29 00:00:00 EDT 2018},
month = {Mon Oct 29 00:00:00 EDT 2018}
}
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