2019/04/09 by Luca V. Delacrétaz, Blaise Goutéraux, Sean A. Hartnoll +1
Mathematics · Physics and Astronomy · #Condensed matter physics #Dissipative system #Electron #Field (mathematics) #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Resonance (particle physics) #Strong Light-Matter Interactions #Thermal #Thermodynamics #cond-mat.mes-hall #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevb.100.085140
published as Phys. Rev. B 100, 085140 (2019) · 20+4 pages. 4 figures
arxiv created 2019/04/09 · openalex created_date 2019/04/25 · openalex publication_date 2019/08/26 · arxiv updated 2019/09/04 · openalex updated_date 2026/08/05
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.