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

Luca V. Delacrétaz, Blaise Goutéraux, Sean A. Hartnoll, and Anna Karlsson
Phys. Rev. B 100, 085140 – Published 26 August 2019

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. 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.

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  • Received 12 June 2019

DOI:https://doi.org/10.1103/PhysRevB.100.085140

©2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Luca V. Delacrétaz1, Blaise Goutéraux2,3, Sean A. Hartnoll1,4, and Anna Karlsson5,6

  • 1Department of Physics, Stanford University, Stanford, California 94305-4060, USA
  • 2Center for Theoretical Physics, École Polytechnique, CNRS UMR 7644, Université Paris-Saclay, 91128, Palaiseau, France
  • 3Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden
  • 4Stanford Institute for Materials and Energy Science, SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
  • 5Institute for Advanced Study, School of Natural Sciences, 1 Einstein Drive, Princeton, New Jersey 08540, USA
  • 6Division for Theoretical Physics, Department of Physics, Chalmers University of Technology, SE-412 96 Gothenburg, Sweden

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Issue

Vol. 100, Iss. 8 — 15 August 2019

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