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Title: Density-controlled quantum Hall ferromagnetic transition in a two-dimensional hole system

Abstract

We typically achieve Quantum Hall ferromagnetic transitions by increasing the Zeeman energy through in-situ sample rotation, while transitions in systems with pseudo-spin indices can be induced by gate control. We report here a gate-controlled quantum Hall ferromagnetic transition between two real spin states in a conventional two-dimensional system without any in-plane magnetic field. We also show that the ratio of the Zeeman splitting to the cyclotron gap in a Ge two-dimensional hole system increases with decreasing density owing to inter-carrier interactions. Below a critical density of ~2.4 × 10 10 cm -2, this ratio grows greater than 1, resulting in a ferromagnetic ground state at filling factor ν = 2. At the critical density, a resistance peak due to the formation of microscopic domains of opposite spin orientations is observed. For such gate-controlled spin-polarizations in the quantum Hall regime the door opens in order to realize Majorana modes using two-dimensional systems in conventional, low-spin-orbit-coupling semiconductors.

Authors:
ORCiD logo [1];  [1];  [1];  [2];  [2];  [2];  [2];  [2]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. National Taiwan Univ., Taipei (Taiwan). Dept. of Electrical Engineering and Graduate Inst. of Electronic Engineering; National Nano Device Laboratories, Hsinchu (Taiwan)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
OSTI Identifier:
1360929
Report Number(s):
SAND2017-5485J
Journal ID: ISSN 2045-2322; PII: 2757
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 7; Journal Issue: 1; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; quantum hall

Citation Formats

Lu, T. M., Tracy, L. A., Laroche, D., Huang, S. -H., Chuang, Y., Su, Y. -H., Li, J. -Y., and Liu, C. W. Density-controlled quantum Hall ferromagnetic transition in a two-dimensional hole system. United States: N. p., 2017. Web. doi:10.1038/s41598-017-02757-2.
Lu, T. M., Tracy, L. A., Laroche, D., Huang, S. -H., Chuang, Y., Su, Y. -H., Li, J. -Y., & Liu, C. W. Density-controlled quantum Hall ferromagnetic transition in a two-dimensional hole system. United States. doi:10.1038/s41598-017-02757-2.
Lu, T. M., Tracy, L. A., Laroche, D., Huang, S. -H., Chuang, Y., Su, Y. -H., Li, J. -Y., and Liu, C. W. Thu . "Density-controlled quantum Hall ferromagnetic transition in a two-dimensional hole system". United States. doi:10.1038/s41598-017-02757-2. https://www.osti.gov/servlets/purl/1360929.
@article{osti_1360929,
title = {Density-controlled quantum Hall ferromagnetic transition in a two-dimensional hole system},
author = {Lu, T. M. and Tracy, L. A. and Laroche, D. and Huang, S. -H. and Chuang, Y. and Su, Y. -H. and Li, J. -Y. and Liu, C. W.},
abstractNote = {We typically achieve Quantum Hall ferromagnetic transitions by increasing the Zeeman energy through in-situ sample rotation, while transitions in systems with pseudo-spin indices can be induced by gate control. We report here a gate-controlled quantum Hall ferromagnetic transition between two real spin states in a conventional two-dimensional system without any in-plane magnetic field. We also show that the ratio of the Zeeman splitting to the cyclotron gap in a Ge two-dimensional hole system increases with decreasing density owing to inter-carrier interactions. Below a critical density of ~2.4 × 1010 cm-2, this ratio grows greater than 1, resulting in a ferromagnetic ground state at filling factor ν = 2. At the critical density, a resistance peak due to the formation of microscopic domains of opposite spin orientations is observed. For such gate-controlled spin-polarizations in the quantum Hall regime the door opens in order to realize Majorana modes using two-dimensional systems in conventional, low-spin-orbit-coupling semiconductors.},
doi = {10.1038/s41598-017-02757-2},
journal = {Scientific Reports},
issn = {2045-2322},
number = 1,
volume = 7,
place = {United States},
year = {2017},
month = {6}
}

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