Spin-Resolved Quantum Scars in Confined Spin-Coupled Two-Dimensional Electron Gas

Quantum scars refer to an enhanced localization of the probability density of states in the spectral region with a high energy level density. Scars are discussed for a number of confined pure and impurity-doped electronic systems. Here, we studied the role of spin on quantum scarring for a generic s...

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Main Authors: Michael Berger, Dominik Schulz, Jamal Berakdar
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Nanomaterials
Subjects:
Online Access:https://www.mdpi.com/2079-4991/11/5/1258
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spelling doaj-7a00a95f071c47c5a96e5d91739c5ecd2021-05-31T23:41:20ZengMDPI AGNanomaterials2079-49912021-05-01111258125810.3390/nano11051258Spin-Resolved Quantum Scars in Confined Spin-Coupled Two-Dimensional Electron GasMichael Berger0Dominik Schulz1Jamal Berakdar2Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06099 Halle, GermanyInstitut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06099 Halle, GermanyInstitut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06099 Halle, GermanyQuantum scars refer to an enhanced localization of the probability density of states in the spectral region with a high energy level density. Scars are discussed for a number of confined pure and impurity-doped electronic systems. Here, we studied the role of spin on quantum scarring for a generic system, namely a semiconductor-heterostructure-based two-dimensional electron gas subjected to a confining potential, an external magnetic field, and a Rashba-type spin-orbit coupling. Calculating the high energy spectrum for each spin channel and corresponding states, as well as employing statistical methods known for the spinless case, we showed that spin-dependent scarring occurs in a spin-coupled electronic system. Scars can be spin mixed or spin polarized and may be detected via transport measurements or spin-polarized scanning tunneling spectroscopy.https://www.mdpi.com/2079-4991/11/5/1258quantum scarsspin-orbit couplingquantum chaosperiodic orbits
collection DOAJ
language English
format Article
sources DOAJ
author Michael Berger
Dominik Schulz
Jamal Berakdar
spellingShingle Michael Berger
Dominik Schulz
Jamal Berakdar
Spin-Resolved Quantum Scars in Confined Spin-Coupled Two-Dimensional Electron Gas
Nanomaterials
quantum scars
spin-orbit coupling
quantum chaos
periodic orbits
author_facet Michael Berger
Dominik Schulz
Jamal Berakdar
author_sort Michael Berger
title Spin-Resolved Quantum Scars in Confined Spin-Coupled Two-Dimensional Electron Gas
title_short Spin-Resolved Quantum Scars in Confined Spin-Coupled Two-Dimensional Electron Gas
title_full Spin-Resolved Quantum Scars in Confined Spin-Coupled Two-Dimensional Electron Gas
title_fullStr Spin-Resolved Quantum Scars in Confined Spin-Coupled Two-Dimensional Electron Gas
title_full_unstemmed Spin-Resolved Quantum Scars in Confined Spin-Coupled Two-Dimensional Electron Gas
title_sort spin-resolved quantum scars in confined spin-coupled two-dimensional electron gas
publisher MDPI AG
series Nanomaterials
issn 2079-4991
publishDate 2021-05-01
description Quantum scars refer to an enhanced localization of the probability density of states in the spectral region with a high energy level density. Scars are discussed for a number of confined pure and impurity-doped electronic systems. Here, we studied the role of spin on quantum scarring for a generic system, namely a semiconductor-heterostructure-based two-dimensional electron gas subjected to a confining potential, an external magnetic field, and a Rashba-type spin-orbit coupling. Calculating the high energy spectrum for each spin channel and corresponding states, as well as employing statistical methods known for the spinless case, we showed that spin-dependent scarring occurs in a spin-coupled electronic system. Scars can be spin mixed or spin polarized and may be detected via transport measurements or spin-polarized scanning tunneling spectroscopy.
topic quantum scars
spin-orbit coupling
quantum chaos
periodic orbits
url https://www.mdpi.com/2079-4991/11/5/1258
work_keys_str_mv AT michaelberger spinresolvedquantumscarsinconfinedspincoupledtwodimensionalelectrongas
AT dominikschulz spinresolvedquantumscarsinconfinedspincoupledtwodimensionalelectrongas
AT jamalberakdar spinresolvedquantumscarsinconfinedspincoupledtwodimensionalelectrongas
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