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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,…

The anomalous Hall effect has had a profound influence on the understanding of many electronic topological materials but is much less studied in their bosonic counterparts. We predict that an intrinsic anomalous Hall effect exists in a…

Quantum Gases · Physics 2022-10-31 Guan-Hua Huang , Zhi-Fang Xu , Zhigang Wu

Odd viscosity couples stress to strain rate in a dissipationless way. It has been studied in plasmas under magnetic fields, superfluid ${\rm He}^3$, quantum-Hall fluids, and recently in the context of chiral active matter. In most of these…

Soft Condensed Matter · Physics 2024-09-04 Tomer Markovich , Tom C. Lubensky

In common fluids, viscosity is associated with dissipation. However, when time-reversal-symmetry is broken a new type of non-dissipative `viscosity' may emerge. Recent theories and experiments on classical 2D systems with active spinning…

Soft Condensed Matter · Physics 2021-07-28 Tomer Markovich , Tom C. Lubensky

A microscopic theory of odd viscosity in two-dimensional electron systems with smooth disorder and spin-orbit interaction is developed. It is shown that spin-orbit scattering in presence of spin polarization induced by magnetic field gives…

Mesoscale and Nanoscale Physics · Physics 2026-02-17 D. S. Zohrabyan , M. M. Glazov

We utilize the chiral kinetic theory in a relaxation-time approximation to investigate the nonlinear anomalous responses of chiral fluids with viscous effects. Unlike the cases in equilibrium, it is found that the chiral magnetic effect and…

High Energy Physics - Theory · Physics 2018-08-01 Yoshimasa Hidaka , Di-Lun Yang

We construct theoretical models for two dimensional(2d) chiral $d_{x^2-y^2}\pm id_{xy}$ topological superconductors and for three dimensional(3d) $d$ wave topological superconductors. Moreover we build models for any 2d class C and 3d class…

Mesoscale and Nanoscale Physics · Physics 2016-03-24 Tong Chern

We propose an effective low-energy theory for ferromagnetic Hall states. It describes the charge degrees of freedom, on the edge, by a (1 + 1) dimensional chiral boson theory, and the spin degrees of freedom by the (2 + 1)dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. V. Milovanovic

We compute the Hall viscosity and conductivity of non-relativistic two-dimensional chiral superconductors, where fermions pair due to a short-range attractive potential, e.g. $p+\mathrm{i}p$ pairing, and interact via a long-range repulsive…

Superconductivity · Physics 2020-07-16 Félix Rose , Omri Golan , Sergej Moroz

We study the transport properties of topological insulators, encoding them in a generating functional of gauge and gravitational sources. Much of our focus is on the simple example of a free massive Dirac fermion, the so-called Chern…

High Energy Physics - Theory · Physics 2013-08-21 Taylor L. Hughes , Robert G. Leigh , Onkar Parrikar

We introduce a theory of "odd viscodiffusive fluids," which exhibit three-dimensional odd transport phenomena through the coupling of viscous and diffusive transport. In these fluids, diffusive fluxes may arise from orthogonal velocity…

Soft Condensed Matter · Physics 2024-11-08 Alhad Deshpande , Cory Hargus , Karthik Shekhar , Kranthi K. Mandadapu

The electrophoresis of charged colloidal particles in fluids exhibiting odd viscosity represents a fundamental challenge in understanding transport phenomena within charge-stabilized chiral active suspensions. Here, we provide the first…

Soft Condensed Matter · Physics 2026-04-10 Reinier van Buel , Bogdan Cichocki , Jeffrey C. Everts

Parity-odd transport is a central signature of chiral fluids, yet analytical predictions are sparse. Here, we introduce a minimal two-dimensional hard-disk gas in which chirality arises solely from a collision-induced transverse impulse.…

Statistical Mechanics · Physics 2026-03-05 Raphael Maire , Alessandro Petrini , Umberto Marini Bettolo Marconi , Lorenzo Caprini

We examine the physical implications of the viscous redundancy of two-dimensional anisotropic fluids, where different components of the viscosity tensor lead to identical effects in the bulk of a system [Rao and Bradlyn, Phys. Rev. X…

Mesoscale and Nanoscale Physics · Physics 2023-02-24 Pranav Rao , Barry Bradlyn

We consider chiral fluids within the standard framework of a chiral-invariant underlying field theory, anomalous in presence of electromagnetic fields. Apart from the Noether axial current of the underlying theory, in the limit of ideal…

High Energy Physics - Theory · Physics 2016-11-29 V. I. Zakharov

Odd elasticity encompasses active elastic systems whose stress-strain relationship is not compatible with a potential energy. As the requirement of energy conservation is lifted from linear elasticity, new anti-symmetric (odd) components…

Soft Condensed Matter · Physics 2025-07-15 Michele Fossati , Colin Scheibner , Michel Fruchart , Vincenzo Vitelli

The physics of a planar chiral $p\pm i p$ superconductor is studied for various vortex configurations. The occurrence of vortex quasi-particle bound states is exposed together with their ensuing collective properties, such as sub-gap bands…

Superconductivity · Physics 2018-09-26 Daniel Ariad , Yshai Avishai , Eytan Grosfeld

The chiral worldvolume theory of an M-theory boundary (the so-called M9 brane) is uniquely determined by supersymmetry and anomaly inflow. In this brief note we investigate whether alternative chiral boundary field contents may be allowed…

High Energy Physics - Theory · Physics 2025-04-10 Miguel Montero , Luis Zapata

We investigate novel transport phenomena in a chiral fluid originated from an interplay between a vorticity and strong magnetic field, which induces a redistribution of vector charges in the system and an axial current along the magnetic…

High Energy Physics - Theory · Physics 2016-10-12 Koichi Hattori , Yi Yin

Intermittency refers to the broken self-similarity of turbulent flows caused by anomalous spatio-temporal fluctuations. In this Letter, we ask how intermittency is affected by a non-dissipative viscosity, known as odd viscosity (also Hall…

Fluid Dynamics · Physics 2025-10-08 Sihan Chen , Xander M. de Wit , Michel Fruchart , Federico Toschi , Vincenzo Vitelli