Theory of collective magnetophonon resonance and melting of a field-induced Wigner solid
Journal article, 2019

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.



Stanford University

Blaise Gouteraux

Stockholm University

University Paris-Saclay

Royal Institute of Technology (KTH)

Sean A. Hartno

Stanford University

Anna Karlsson

Institute for Advanced Studies

Chalmers, Physics, Theoretical Physics

Physical Review B

2469-9950 (ISSN) 2469-9969 (eISSN)

Vol. 100 8 085140

Subject Categories

Atom and Molecular Physics and Optics

Condensed Matter Physics



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