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Main Authors: Jain, Akash, Jensen, Kristan, Liu, Ruochuan, Mefford, Eric
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2401.16385
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author Jain, Akash
Jensen, Kristan
Liu, Ruochuan
Mefford, Eric
author_facet Jain, Akash
Jensen, Kristan
Liu, Ruochuan
Mefford, Eric
contents We present a dissipative hydrodynamic theory of "s-wave dipole superfluids" that arise in phases of translation-invariant and dipole-symmetric models in which the U(1) symmetry is spontaneously broken. The hydrodynamic description is subtle on account of an analogue of dangerously irrelevant operators, which requires us to formalize an entirely new derivative counting scheme suitable for these fluids. We use our hydrodynamic model to investigate the linearized response of such a fluid, characterized by sound modes $ω\sim \pm k - ik^2$, shear modes $ω\sim-ik^2$, and magnon-like propagating modes $ω\sim \pm k^2 - ik^4$ that are the dipole-invariant version of superfluid "second sound" modes. We find that these fluids can also admit equilibrium states with "dipole superflow" that resemble a polarized medium. Finally, we couple our theory to slowly varying background fields, which allows us to compute response functions of hydrodynamic operators and Kubo formulas for hydrodynamic transport coefficients.
format Preprint
id arxiv_https___arxiv_org_abs_2401_16385
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dipole superfluid hydrodynamics II
Jain, Akash
Jensen, Kristan
Liu, Ruochuan
Mefford, Eric
High Energy Physics - Theory
Strongly Correlated Electrons
We present a dissipative hydrodynamic theory of "s-wave dipole superfluids" that arise in phases of translation-invariant and dipole-symmetric models in which the U(1) symmetry is spontaneously broken. The hydrodynamic description is subtle on account of an analogue of dangerously irrelevant operators, which requires us to formalize an entirely new derivative counting scheme suitable for these fluids. We use our hydrodynamic model to investigate the linearized response of such a fluid, characterized by sound modes $ω\sim \pm k - ik^2$, shear modes $ω\sim-ik^2$, and magnon-like propagating modes $ω\sim \pm k^2 - ik^4$ that are the dipole-invariant version of superfluid "second sound" modes. We find that these fluids can also admit equilibrium states with "dipole superflow" that resemble a polarized medium. Finally, we couple our theory to slowly varying background fields, which allows us to compute response functions of hydrodynamic operators and Kubo formulas for hydrodynamic transport coefficients.
title Dipole superfluid hydrodynamics II
topic High Energy Physics - Theory
Strongly Correlated Electrons
url https://arxiv.org/abs/2401.16385