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Anomalous Hall effect in very clean samples (high conductivity regime) is studied using a two-dimensional network model. We find that the off-diagonal conductivity comprises two parts: one which reflects the bulk properties as obtained by…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Pavel Středa , Karel Výborný

We consider 3+1-dimensional fluids with U(1)^3 anomalies. We use Ward identities to constrain low-momentum Euclidean correlation functions and obtain differential equations that relate two and three-point functions. The solution to those…

High Energy Physics - Theory · Physics 2013-11-27 Kristan Jensen

Recent observations of non-local transport in ultraclean 2D materials raised the tantalizing possibility of accessing hydrodynamic correlated transport of many-electron state. However, it has been pointed out that non-local transport can…

Strongly Correlated Electrons · Physics 2021-06-30 Aaron Hui , Vadim Oganesyan , Eun-Ah Kim

Nonequilibrium transport measurements in mesoscopic quasi-ballistic 2D electron systems show an enhancement in the differential conductance around the Fermi energy. At very low temperatures, such a zero-bias anomaly splits, leading to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Arindam Ghosh , Matthew Wright , Christophe Siegert , Michael Pepper , Ian Farrer , Chris Ford , David Ritchie

We compute the response matrix for a tracer particle in a compressible fluid with odd viscosity living on a two-dimensional surface. Unlike the incompressible case, we find that an odd compressible fluid can produce an odd lift force on a…

Soft Condensed Matter · Physics 2023-08-30 Ruben Lier , Charlie Duclut , Stefano Bo , Jay Armas , Frank Jülicher , Piotr Surówka

Following up on recent work in the context of ordinary fluids, we study the equilibrium partition function of a 3+1 dimensional superfluid on an arbitrary stationary background spacetime, and with arbitrary stationary background gauge…

High Energy Physics - Theory · Physics 2015-06-05 Sayantani Bhattacharyya , Sachin Jain , Shiraz Minwalla , Tarun Sharma

Chiral anomalies have profound impact on the transport properties of relativistic fluids. In four dimensions there are different types of anomalies, pure gauge and mixed gauge-gravitational anomalies. They give rise to two new…

High Energy Physics - Theory · Physics 2017-02-14 Karl Landsteiner , Eugenio Megias , Francisco Pena-Benitez

We broaden the scope of quantum field theory by introducing a general class of discrete gauge theories that realize either topological order or fracton behavior across dimensions. We start from translation-invariant systems endowed with…

Strongly Correlated Electrons · Physics 2026-01-21 Guilherme Delfino , Claudio Chamon , Yizhi You

We show that a quantum-mechanical N=2 supersymmetry is hidden in 4d mass spectrum of any gauge invariant theories with extra dimensions. The N=2 supercharges are explicitly constructed in terms of differential forms. The analysis can be…

High Energy Physics - Theory · Physics 2009-11-11 C. S. Lim , Tomoaki Nagasawa , Makoto Sakamoto , Hidenori Sonoda

We study transport properties of a parity-odd, non-relativistic charged fluid in presence of background electric and magnetic fields. To obtain stress tensor and charged current for the non-relativistic system we start with the most generic…

High Energy Physics - Theory · Physics 2015-02-03 Nabamita Banerjee , Suvankar Dutta , Akash Jain , Dibakar Roychowdhury

We determine the most general form of the equations of relativistic superfluid hydrodynamics consistent with Lorentz invariance, time-reversal invariance, the Onsager principle and the second law of thermodynamics at first order in the…

High Energy Physics - Theory · Physics 2014-10-31 Jyotirmoy Bhattacharya , Sayantani Bhattacharyya , Shiraz Minwalla , Amos Yarom

Gauss-Bonnet holographic fluid is a useful theoretical laboratory to study the effects of curvature-squared terms in the dual gravity action on transport coefficients, quasinormal spectra and the analytic structure of thermal correlators at…

High Energy Physics - Theory · Physics 2017-04-04 Sašo Grozdanov , Andrei O. Starinets

This article is concerned with the problem of determining an unknown source of non-potential, external time-dependent perturbations of an incompressible fluid from large-scale observations on the flow field. A relaxation-based approach is…

Analysis of PDEs · Mathematics 2024-02-26 Vincent R. Martinez

Recently it was shown that the scaling dimension of the operator $\phi^n$ in scale-invariant $d=3$ theory may be computed semiclassically, and this was verified to leading order (two loops) in perturbation theory at leading and subleading…

High Energy Physics - Theory · Physics 2025-06-03 I. Jack , D. R. T. Jones

We review some recent results on the equilibrium shapes of charged liquid drops. We show that the natural variational model is ill-posed and how this can be overcome by either restricting the class of competitors or by adding penalizations…

Analysis of PDEs · Mathematics 2017-09-15 Michael Goldman , Berardo Ruffini

Axial anomaly of lattice abelian gauge theory in hyper-cubic regular lattice in arbitrary even dimensions is investigated by applying the method of exterior differential calculus. The topological invariance, gauge invariance and locality of…

High Energy Physics - Lattice · Physics 2009-10-31 Takanori Fujiwara , Hiroshi Suzuki , Ke Wu

In a recent work we have introduced a novel approach to study the effect of weak non-linearities in the transfer function on the information transmitted by an analogue channel, by means of a perturbative diagrammatic expansion. We extend…

Statistical Mechanics · Physics 2009-11-07 E. Korutcheva , V. Del Prete

The question of defining unique, generally applicable constrained second, and higher-order, derivatives is investigated. It is shown that second-order constrained derivatives obtained via two successive constrained differentiations provide…

Mathematical Physics · Physics 2012-08-14 Tamas Gal

The axial anomaly is computed for Euclidean Dirac fermions on the plane. The dependence upon the self-adjoint extensions of the Dirac operator is investigated and its relevance concerning the second virial coefficient of the anyon gas is…

High Energy Physics - Theory · Physics 2007-05-23 P. Giacconi , F. Maltoni , R. Soldati

The holographic charged fluid with anomalous current in Einstein-Maxwell gravity has been generalized from the infinite boundary to the finite cutoff surface by using the gravity/fluid correspondence. After perturbing the boosted…

High Energy Physics - Theory · Physics 2014-07-01 Xiaojian Bai , Ya-Peng Hu , Bum-Hoon Lee , Yun-Long Zhang
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