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arXiv · 1904.04872

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

Luca V. Delacrétaz·Blaise Goutéraux·Sean A. Hartnoll·Anna Karlsson
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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: (i) violation of the Fukuyama-Lee sum rule as the transition is approached is directly tied to the non-Lorentzian form taken by the resonance and (ii) the non-Lorentzian shape is caused by characteristic dissipative channels that become especially important close to melting: proliferating dislocations and uncondensed charge carriers.

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Luca V. Delacrétaz, Blaise Goutéraux, Sean A. Hartnoll, Anna Karlsson. 2019-04-09. Theory of the collective magnetophonon resonance and melting of the field-induced Wigner solid. https://doi.org/10.1103/physrevb.100.085140

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