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Title: Theory of collective magnetophonon resonance and melting of a field-induced Wigner solid

Abstract

Electron solid phases of matter are revealed by characteristic vibrational resonances. Sufficiently large magnetic fields can overcome the effects of disorder, leading to a weakly pinned collective mode called the magnetophonon. Consequently, in this regime it is possible to develop a tightly constrained hydrodynamic theory of pinned magnetophonons. Here, the behavior of the magnetophonon resonance across thermal and quantum melting transitions has been experimentally characterized in two-dimensional electron systems. Applying our theory to these transitions we explain several key features of the data. Firstly, violation of the Fukuyama-Lee sum rule as the transition is approached is shown to be a consequence of the non-Lorentzian form taken by the resonance. Secondly, this non-Lorentzian shape is shown to be caused by dissipative channels that become especially important close to melting: proliferating dislocations and uncondensed charge carriers.

Authors:
 [1];  [2];  [3];  [4]
  1. Stanford Univ., Stanford, CA (United States)
  2. Univ. Paris-Saclay, Palaiseau (France); KTH Royal Institute of Technology and Stockholm Univ., Stockholm (Sweden)
  3. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
  4. Inst. for Advanced Study, Princeton, NJ (United States); Chalmers Univ. of Technology, Gothenburg (Sweden)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1562489
Alternate Identifier(s):
OSTI ID: 1558832
Grant/Contract Number:  
AC02-76SF00515; 758759; 341222; 2017-00328
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 100; Journal Issue: 8; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Delacrétaz, Luca V., Goutéraux, Blaise, Hartnoll, Sean A., and Karlsson, Anna. Theory of collective magnetophonon resonance and melting of a field-induced Wigner solid. United States: N. p., 2019. Web. doi:10.1103/physrevb.100.085140.
Delacrétaz, Luca V., Goutéraux, Blaise, Hartnoll, Sean A., & Karlsson, Anna. Theory of collective magnetophonon resonance and melting of a field-induced Wigner solid. United States. doi:10.1103/physrevb.100.085140.
Delacrétaz, Luca V., Goutéraux, Blaise, Hartnoll, Sean A., and Karlsson, Anna. Mon . "Theory of collective magnetophonon resonance and melting of a field-induced Wigner solid". United States. doi:10.1103/physrevb.100.085140.
@article{osti_1562489,
title = {Theory of collective magnetophonon resonance and melting of a field-induced Wigner solid},
author = {Delacrétaz, Luca V. and Goutéraux, Blaise and Hartnoll, Sean A. and Karlsson, Anna},
abstractNote = {Electron solid phases of matter are revealed by characteristic vibrational resonances. Sufficiently large magnetic fields can overcome the effects of disorder, leading to a weakly pinned collective mode called the magnetophonon. Consequently, in this regime it is possible to develop a tightly constrained hydrodynamic theory of pinned magnetophonons. Here, the behavior of the magnetophonon resonance across thermal and quantum melting transitions has been experimentally characterized in two-dimensional electron systems. Applying our theory to these transitions we explain several key features of the data. Firstly, violation of the Fukuyama-Lee sum rule as the transition is approached is shown to be a consequence of the non-Lorentzian form taken by the resonance. Secondly, this non-Lorentzian shape is shown to be caused by dissipative channels that become especially important close to melting: proliferating dislocations and uncondensed charge carriers.},
doi = {10.1103/physrevb.100.085140},
journal = {Physical Review B},
number = 8,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}

Journal Article:
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