Theory of collective magnetophonon resonance and melting of a field-induced Wigner solid - Archive ouverte HAL
Article Dans Une Revue Physical Review B Année : 2019

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

Luca V. Delacrétaz
  • Fonction : Auteur
Sean A. Hartnoll
  • Fonction : Auteur
Anna Karlsson
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-02129989 , version 1 (15-05-2019)

Identifiants

Citer

Luca V. Delacrétaz, Blaise Goutéraux, Sean A. Hartnoll, Anna Karlsson. Theory of collective magnetophonon resonance and melting of a field-induced Wigner solid. Physical Review B, 2019, 100 (8), pp.085140. ⟨10.1103/PhysRevB.100.085140⟩. ⟨hal-02129989⟩
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