Hydrodynamics of plastic deformations in electronic crystals

Abstract

We construct a new hydrodynamic framework describing plastic deformations in electronic crystals. The framework accounts for pinning, phase, and momentum relaxation effects due to translational disorder, diffusion due to the presence of interstitials and vacancies, and strain relaxation due to plasticity and dislocations. We obtain the hydrodynamic mode spectrum and correlation functions in various regimes in order to identify the signatures of plasticity in electronic crystal phases. In particular, we show that proliferation of dislocations de-pins the spatially resolved conductivity until the crystal melts, after which point a new phase of a pinned electronic liquid emerges. In addition, the mode spectrum exhibits a competition between pinning and plasticity effects, with the damping rate of some modes being controlled by pinning-induced phase relaxation and some by plasticity-induced strain relaxation. We find that the recently discovered damping-attenuation relation continues to hold for pinned-induced phase relaxation even in the presence of plasticity and dislocations. We also comment on various experimental setups that could probe the effects of plasticity. The framework developed here is applicable to a large class of physical systems including electronic Wigner crystals, multicomponent charge density waves, and ordinary crystals.

v1: 34pp, 7figs

References in corpus (8)

• Theory of Intertwined Orders in High Temperature Superconductors
• Dispersive charge density wave excitations and temperature dependent commensuration in Bi2Sr2CaCu2O8+δ
• Aspects of hot Galilean field theory
• Colloquium: Hydrodynamics and holography of charge density wave phases
• Gapless and gapped holographic phonons
• Infrared nano-spectroscopy and imaging of collective superfluid excitations in conventional and high-temperature superconductors
• Universal description of viscoelasticity with foliation preserving diffeomorphisms
• Thermoelectric transport properties of gapless pinned charge density waves

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