Breakdown of hydrodynamics in a Galilean quantum Hall crystal
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913615360032768 |
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| author | Huang, Xiaoyang Lucas, Andrew |
| author_facet | Huang, Xiaoyang Lucas, Andrew |
| contents | We construct a nonlinear fluctuating hydrodynamic effective field theory for Galilean-invariant quantum Hall systems with spontaneously broken translational symmetry. Neglecting the role of energy conservation in a low-temperature regime, the hydrodynamic mode is a magnetophonon with quartic attenuation: $ω\sim \pm k^2-\mathrm{i} k^z$ with $z=4$. However, this linear response theory is unstable, and flows to a non-trivial dynamical universality class with $z\approx 3$. We observe this scaling in numerical simulations of many-body classical Hamiltonian dynamics, in a model of an electronic crystal in the lowest Landau level. Observing this magnetophonon decay rate in a quantum Hall crystal represents a promising setting to detect an analogue of a "fractonic dynamical universality class" in a solid-state system, e.g. using microwave impedance microscopy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12535 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Breakdown of hydrodynamics in a Galilean quantum Hall crystal Huang, Xiaoyang Lucas, Andrew Mesoscale and Nanoscale Physics Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory We construct a nonlinear fluctuating hydrodynamic effective field theory for Galilean-invariant quantum Hall systems with spontaneously broken translational symmetry. Neglecting the role of energy conservation in a low-temperature regime, the hydrodynamic mode is a magnetophonon with quartic attenuation: $ω\sim \pm k^2-\mathrm{i} k^z$ with $z=4$. However, this linear response theory is unstable, and flows to a non-trivial dynamical universality class with $z\approx 3$. We observe this scaling in numerical simulations of many-body classical Hamiltonian dynamics, in a model of an electronic crystal in the lowest Landau level. Observing this magnetophonon decay rate in a quantum Hall crystal represents a promising setting to detect an analogue of a "fractonic dynamical universality class" in a solid-state system, e.g. using microwave impedance microscopy. |
| title | Breakdown of hydrodynamics in a Galilean quantum Hall crystal |
| topic | Mesoscale and Nanoscale Physics Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.12535 |