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Stationary solutions of the Chern-Simons effective field theory for the fractional quantum Hall systems with edges are presented for Hall bar, disk and annulus. In the infinitely long Hall bar geometry (non compact case), the charge density…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 J. Shiraishi , Y. Avishai , M. Kohmoto

Surface physics dominated by bulk properties has been one of the central interests in modern condensed matter physics, from electric polarization to bulk-boundary correspondence of topological insulators and superconductors. Here, we extend…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Akito Daido , Youichi Yanase

Topological field theories emerge at low energy in strongly-correlated condensed matter systems and appear in the context of planar gravity. In particular, the study of Chern-Simons terms gives rise to the concept of flux attachment when…

Quantum Gases · Physics 2020-09-30 Gerard Valentí-Rojas , Niclas Westerberg , Patrik Öhberg

This is a brief report of work performed in arXiv:1106.3576. We consider the chiral transport terms in a relativistic charged superfluid, and their relation to triangle anomalies. The terms allowed by the Second Law of thermodynamics have…

High Energy Physics - Theory · Physics 2011-08-31 Yasha Neiman , Yaron Oz

We present the fundamental model of a topological electromagnetic phase of matter: viscous Maxwell-Chern-Simons theory. Our model applies to a quantum Hall fluids with viscosity. We solve both continuum and lattice regularized systems to…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 Todd Van Mechelen , Zubin Jacob

Starting with a description of the motivation underlying the analysis presented in this paper and a brief survey of the chiral anomaly, I proceed to review some basic elements of the theory of the quantum Hall effect in 2D incompressible…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Juerg Froehlich

We compute numerically the topological charge distribution in the initial stage of a high energy heavy ion collision. This charge distribution is generated by Chern-Simons number fluctuations associated with the dynamics of strong classical…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. Kharzeev , A. Krasnitz , R. Venugopalan

We consider an isotropic compressible non-dissipative fluid with broken parity subject to free surface boundary conditions in two spatial dimensions. The hydrodynamic equations describing the bulk dynamics of the fluid as well as the free…

Fluid Dynamics · Physics 2020-10-28 Alexander G. Abanov , Tankut Can , Sriram Ganeshan , Gustavo M. Monteiro

We present a theory of Galilean-invariant conventional and chiral $p_x \pm ip_y$ fermionic superfluids at zero temperature in two spatial dimensions in terms of a dual gauge theory. Our formulation is general coordinate invariant. The…

Quantum Gases · Physics 2015-02-20 Sergej Moroz , Carlos Hoyos

In simple fluids, such as water, invariance under parity and time-reversal symmetry imposes that the rotation of constituent 'atoms' are determined by the flow and that viscous stresses damp motion. Activation of the rotational degrees of…

Weak Wave Turbulence is a powerful theory to predict statistical observables of diverse relevant physical phenomena, such as ocean waves, magnetohydrodynamics and nonlinear optics. The theory is based upon an asymptotic closure permitted in…

Statistical Mechanics · Physics 2016-07-13 Sergio Chibbaro , Christophe Josserand

An effective Chern-Simons theory for the Abelian quantum Hall states with edges is proposed to study the edge and bulk properties in a unified fashion. We impose a condition that the currents do not flow outside the sample. With this…

Condensed Matter · Physics 2009-10-28 Naoto Nagaosa , Mahito Kohmoto

Many recent experiments addressed manifestations of electronic crystals, particularly the charge density waves, in nano-junctions, under electric field effect, at high magnetic fields, together with real space visualizations by STM and…

Strongly Correlated Electrons · Physics 2018-07-23 Serguei Brazovskii , Natasha Kirova

We consider six-dimensional supergravity compactified on orbifolds with Wilson lines and bulk flux. Torus Wilson lines are decomposed into Wilson lines around the orbifold fixed points, and twisted boundary conditions of matter fields are…

High Energy Physics - Theory · Physics 2015-12-02 Wilfried Buchmuller , Markus Dierigl , Fabian Ruehle , Julian Schweizer

We study the holomorphic twist of 3d ${\cal N}=2$ gauge theories in the presence of boundaries, and the algebraic structure of bulk and boundary local operators. In the holomorphic twist, both bulk and boundary local operators form chiral…

High Energy Physics - Theory · Physics 2020-05-04 Kevin Costello , Tudor Dimofte , Davide Gaiotto

The flow of momentum and energy in a fluid is typically associated with dissipative transport coefficients: viscosity and thermal conductivity. Fluids that break certain symmetries such as mirror symmetry and time-reversal invariance can…

Statistical Mechanics · Physics 2022-02-07 Michel Fruchart , Ming Han , Colin Scheibner , Vincenzo Vitelli

We construct a Galilean invariant low-energy effective field theory of boson-fermion mixtures and study bound fermion states on a vortex of boson superfluid. We derive a simple criterion to determine for which values of the fermion angular…

Other Condensed Matter · Physics 2009-07-09 Yusuke Nishida , Dam Thanh Son

We study entanglement entropy in theories with gravitational or mixed U(1) gauge-gravitational anomalies in two, four and six dimensions. In such theories there is an anomaly in the entanglement entropy: it depends on the choice of…

High Energy Physics - Theory · Physics 2017-07-25 Nabil Iqbal , Aron C. Wall

The process of interaction between nonlinear waves on a free surface of a nonconducting fluid in a strong tangential electric field is simulated numerically (effects of the force of gravity and capillarity are neglected). It is shown that…

Fluid Dynamics · Physics 2019-01-29 Evgeny A. Kochurin

We study Dirac fermions in the presence of a space-dependent chiral gauge field and thermodynamic gradients, establishing a connection to the inverse spin Hall effect. The chiral gauge field induces a chiral magnetic field, resulting in a…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Hung-Hsuan Teh , Tokiro Numasawa , Shun Okumura , Takashi Oka