Edge Wave and Boundary Layer of Vortex Matter

Bogatskiy, Alexander; Wiegmann, P.

doi:10.1103/physrevlett.122.214505

Cited by 38 publications

(43 citation statements)

References 34 publications

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“…Similar phase diagrams have been observed in liquid helium [89], Bose-Einstein condensates [90], thin film superconductors [91], and quantum Hall systems; in the last spin per charge is mapped to the filling fraction ν = J/Q ∼ ∆ 1 d+1 j/n (see e.g. [90,92,93]). Comparison with these systems suggest a number of possible exotic features in the phase diagram in Fig.…”

Section: Phase Transitions In the Spectrumsupporting

confidence: 65%

Heavy operators and hydrodynamic tails

Delacrétaz

2020

SciPost Phys.

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The late time physics of interacting QFTs at finite temperature is controlled by hydrodynamics. For CFTs this implies that heavy operators – which are generically expected to create thermal states – can be studied semiclassically. We show that hydrodynamics universally fixes the OPE coefficients C_{HH'L}CHH′L, on average, of all neutral light operators with two non-identical heavy ones, as a function of the scaling dimension and spin of the operators. These methods can be straightforwardly extended to CFTs with global symmetries, and generalize recent EFT results on large charge operators away from the case of minimal dimension at fixed charge. We also revisit certain aspects of late time thermal correlators in QFT and other diffusive systems.

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Section: Phase Transitions In the Spectrumsupporting

confidence: 65%

Heavy operators and hydrodynamic tails

Delacrétaz

2020

SciPost Phys.

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“…For instance, microscopic Coriolis or Lorentz forces are sufficient to induce a non-zero odd viscosity [23,24], in addition to the corresponding body forces. Odd viscosity has been studied theoretically in various systems (see SI for a partial review) including polyatomic gases [25], magnetized plasmas [24,26], flu-ids of vortices [27][28][29][30], chiral active fluids [31], quantum Hall states and chiral superfluids/superconductors [32][33][34][35][36][37][38][39][40][41][42]. Its presence has been experimentally reported in polyatomic gases [43][44][45] (where both positive and negative odd viscosities were observed under the same magnetic field, for different molecules), electron fluids subject to a magnetic field [46], and spinning colloids [47].Here, we show that the presence of odd viscosity fundamentally affects the topological properties of linear waves in the fluid.…”

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confidence: 99%

Topological Waves in Fluids with Odd Viscosity

et al. 2019

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Fluids in which both time-reversal and parity are broken can display a dissipationless viscosity that is odd under each of these symmetries. Here, we show how this odd viscosity has a dramatic effect on topological sound waves in fluids, including the number and spatial profile of topological edge modes. Odd viscosity provides a short-distance cutoff that allows us to define a bulk topological invariant on a compact momentum space. As the sign of odd viscosity changes, a topological phase transition occurs without closing the bulk gap. Instead, at the transition point, the topological invariant becomes ill-defined because momentum space cannot be compactified. This mechanism is unique to continuum models and can describe fluids ranging from electronic to chiral active systems.In ordinary fluids, acoustic waves with sufficiently large wavelength have arbitrarily low frequency due to Galilean invariance [1]. When either a global rotation or an external magnetic field is present, Galilean invariance is explicitly broken by either Coriolis or Lorentz forces within the fluid, respectively. Hence, the spectrum of acoustic waves becomes gapped in the bulk. Yet, a peculiar phenomenon can occur at edges or interfaces: chiral edge modes propagate robustly irrespective of interface geometry. This phenomenon analogous to edge states in the quantum Hall effect [2][3][4] was unveiled in the context of equatorial waves [5] and explored in out-of-equilibrium and active fluids [6,7]. Similar phenomena occur in lattices of circulators [8,9], polar active fluids under confinement [10] and coupled mechanical oscillators [11][12][13], including gyroscopes [14,15] and oscillators subject to Coriolis forces [16,17].In addition to Coriolis or Lorentz body forces, fluids in which time-reversal and parity are broken generically exhibit a dissipationless viscosity that is odd under each of these symmetries [18,19]. The viscosity tensor η ijkl relates the strain rate v kl ≡ ∂ k v l to the viscous part of the stress tensor σ ij = η ijkl v kl . Odd viscosity refers to the antisymmetric part of the viscosity tensor η o ijkl = −η o klij [18,19]. In an isotropic two-dimensional fluid, odd viscosity is specified by a single pseudoscalar η o , see Supplementary Information (SI) for details [19]. Odd viscosity changes sign under either time-reversal or parity, and hence must vanish when at least one of these symmetries is present. Conversely, odd viscosity is generically non-vanishing as soon as both time-reversal and parity are broken [20][21][22]. For instance, microscopic Coriolis or Lorentz forces are sufficient to induce a non-zero odd viscosity [23,24], in addition to the corresponding body forces. Odd viscosity has been studied theoretically in various systems (see SI for a partial review) including polyatomic gases [25], magnetized plasmas [24,26], flu-ids of vortices [27][28][29][30], chiral active fluids [31], quantum Hall states and chiral superfluids/superconductors [32][33][34][35][36][37][38][39][40][41][42]. Its presence has been exp...

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“…While the redundant viscosity coefficients are indistinguishable in the bulk, they provide unique forces on a fluid boundary. Viscous boundary effects have already been an interesting area of study [34], especially for the Hall viscosity [23,[35][36][37][38][39][40]. In particular, the Hall viscosity η H is often viewed as "trivial" in the bulk of an incompressible fluid, since it can be absorbed into a redefinition of the pressure; its contribution on the boundary provides a nontrivial effect [39,40].…”

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Resolving Hall and dissipative viscosity ambiguities via boundary effects

Rao¹,

Bradlyn²

2021

Preprint

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We examine in detail the ambiguity of viscosity coefficients in two-dimensional anisotropic fluids emphasized in [Rao and Bradlyn, Phys. Rev. X 10, 021005 (2020)], where it was shown that different components of the dissipative and non-dissipative (Hall) viscosity tensor correspond to physically identical effects in the bulk. Considering fluid flow in systems with a boundary, we are able to distinguish between the otherwise redundant viscosity components, and see the effect of the "contact terms" (divergenceless contributions to the stress tensor) that shift between them. We show how the dispersion and damping of gravity-dominated surface waves can be used to disambiguate respectively between redundant Hall and dissipative viscosity coeffients. We discuss how these results apply to recent experiments in chiral active fluids with nonvanishing Hall viscosity. Finally, we apply our results to the hydrodynamics of the quantum Hall fluid, and show that the boundary term that renders the bulk Wen-Zee action nonanomalous can be reinterpreted in terms of the bulk viscous redundancy.

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Edge Wave and Boundary Layer of Vortex Matter

Cited by 38 publications

References 34 publications

Heavy operators and hydrodynamic tails

Heavy operators and hydrodynamic tails

Topological Waves in Fluids with Odd Viscosity

Resolving Hall and dissipative viscosity ambiguities via boundary effects

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