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We prove a general theorem on the relation between the bulk topological quantum number and the edge states in two dimensional insulators. It is shown that whenever there is a topological order in bulk, characterized by a non-vanishing Chern…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Xiao-Liang Qi , Yong-Shi Wu , Shou-Cheng Zhang

We numerically study the interacting quantum Hall skyrmion system based on the Chern-Simons action. By noticing that the action is invariant under global spin rotations in the spin space with respect to the magnetic field direction, we…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. Moon , K. Mullen

Recently, uncovering the sources of thermal Hall effect in insulators has become an important issue. In the case of ferromagnetic insulators, it is well known that Dzyaloshinskii-Moriya (DM) interaction can induce magnon thermal Hall…

Strongly Correlated Electrons · Physics 2021-01-04 Sungjoon Park , Bohm-Jung Yang

The study of topological property of band insulators is an interesting branch of condensed matter physics. Two types of topologically nontrivial insulators have been extensively studied. The first type is characterized by a nonzero TKNN…

Materials Science · Physics 2011-11-15 Yi-Dong Wu

Topologically stable nontrivial spin structures, such as skyrmions and antiskyrmions, display a large topological Hall effect owing to their quantized topological charge. Here, we present the finding of a large topological Hall effect…

Strongly Correlated Electrons · Physics 2019-04-04 Subir Sen , Charanpreet Singh , Prashanta K. Mukharjee , Ramesh Nath , Ajaya K. Nayak

The behavior in magnetic fields of a highly correlated electron liquid approaching the fermion condensation quantum phase transition from the disordered phase is considered. We show that at sufficiently high temperatures $T\geq T^*(x)$ the…

Superconductivity · Physics 2009-11-10 V. R. Shaginyan

We study finite-temperature phase transitions in a two-dimensional boson Hubbard model with zero-point quantum fluctuations via Monte Carlo simulations of quantum rotor model, and construct the corresponding phase diagram. Compressibility…

Strongly Correlated Electrons · Physics 2009-11-13 Min-Chul Cha , Ji-Woo Lee

We discuss thermal transport of two-dimensional topological superconductors (TSCs) with broken time reversal symmetry, which are described by Bogoliubov-de Gennes (BdG) Hamiltonians. From the calculations of bulk quantities only, without…

Mesoscale and Nanoscale Physics · Physics 2013-01-24 Hiroaki Sumiyoshi , Satoshi Fujimoto

A striking prediction in topological insulators is the appearance of the quantized Hall resistance when the surface states are magnetized. The surface Dirac states become gapped everywhere on the surface, but chiral edge states remain on…

Mesoscale and Nanoscale Physics · Physics 2016-08-02 Minhao Liu , Wudi Wang , Anthony R. Richardella , Abhinav Kandala , Jian Li , Ali Yazdani , Nitin Samarth , N. P. Ong

We explore the nontrivial thermoelectric properties of two-dimensional topological systems. For the Chern insulator, we show that the Seebeck coefficient is fully determined by the Kelvin formula, while the Nernst coefficient vanishes. For…

Mesoscale and Nanoscale Physics · Physics 2025-03-03 Z. Z. Alisultanov , E. G. Idrisov , A. V. Kavokin

We study the effects of the Chern-Simons term in the hydrodynamics of the five-dimensional Reissner-Nordstrom-AdS background. We work out the decoupling problem of the equations of motion and calculate the retarded Green functions…

High Energy Physics - Theory · Physics 2010-05-27 Yoshinori Matsuo , Sang-Jin Sin , Shingo Takeuchi , Takuya Tsukioka

We investigate transverse magnetic heat transport on the surface of a topological insulator on which a ferromagnet is attached. We present general expressions of the Nernst coefficient and the thermal Hall conductivity, which are reduced to…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Takehito Yokoyama , Shuichi Murakami

Fracton phases of matter constitute an interesting point of contact between condensed matter and high-energy physics. The limited mobility property of fracton quasiparticles finds applications in many different contexts, including quantum…

High Energy Physics - Theory · Physics 2024-11-01 Erica Bertolini , Alberto Blasi , Nicola Maggiore , Daniel Sacco Shaikh

We study the anomalous thermoelectric Hall response of two-dimensional massive Dirac fermions to first order in the electron-electron interaction. We compute both the Nernst response to a Luttinger-type gravitational potential and the…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 A. Daria Dumitriu-I. , Feng Liu , Alexander E. Kazantsev , Alessandro Principi

We investigate properties of the five-dimensional Chern--Simons AdS black hole coupled to $\mathrm{SU}(2)$ solitons by means of a minisuperspace approximation adapted to static, spherically symmetric configurations. The reduced action…

High Energy Physics - Theory · Physics 2026-04-15 Laura Andrianopoli , Dušan Đorđević , Olivera Miskovic

We develop a theory for the electrical and thermal transverse linear response functions such as the Hall, Nernst and thermal Hall effects in magnetic materials that harbor topological spin textures like skyrmions. In addition to the…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Zachariah Addison , Lauren Keyes , Mohit Randeria

This paper begins with a summary of a powerful formalism for the study of electronic states in condensed matter physics called "Gauge Theory of States/Phases of Matter." The chiral anomaly, which plays quite a prominent role in that…

Strongly Correlated Electrons · Physics 2023-04-12 Jürg Fröhlich

We discuss the thermodynamics of a non-relativistic gas of bosons with a local repulsive interaction. In particular, we compute the temperature and density dependence of pressure, energy and entropy-density, superfluid and…

Quantum Gases · Physics 2009-06-12 S. Floerchinger , C. Wetterich

The quantum Hall system is known to have two mutually dual Chern-Simons descriptions, one associated with the hydrodynamics of the electron fluid, and another associated with the statistics. Recently, Susskind has made the claim that the…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Eduardo Fradkin , Vishnu Jejjala , Robert G. Leigh

Effective field theories that describes the dynamics of a conserved U(1) current in terms of "hydrodynamic" degrees of freedom of topological phases in condensed matter are discussed in general dimension $D=d+1$ using the functional…

Strongly Correlated Electrons · Physics 2013-09-24 AtMa Chan , Taylor L. Hughes , Shinsei Ryu , Eduardo Fradkin