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Related papers: The Hall Number of Strongly Correlated Metals

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Exact formulas for the Hall coefficient, modified Nernst coefficient, and thermal Hall coefficient of metals are derived from the Kubo formula. These coefficients depend exclusively on equilibrium (time independent) susceptibilities, which…

Strongly Correlated Electrons · Physics 2019-03-27 Assa Auerbach

The Hall coefficient is related to the effective carrier density and Fermi surface topology in noninteracting and weakly interacting systems. In strongly correlated systems, the relation between the Hall coefficient and single-particle…

Strongly Correlated Electrons · Physics 2020-07-31 Wen O. Wang , Jixun K. Ding , Brian Moritz , Edwin W. Huang , Thomas P. Devereaux

Conductivities and Hall coefficients of two dimensional hard core bosons are calculated using the thermodynamic expansions of Kubo formulas. At temperatures above the superfluid transition, the resistivity rises linearly and is weakly…

Strongly Correlated Electrons · Physics 2024-01-12 Sauri Bhattacharyya , Ayush De , Snir Gazit , Assa Auerbach

The zero-temperature Hall response within tight-binding models of correlated electrons is studied. Using the linear response theory and a linearization in the magnetic field B, a general relation for the reactive (zero frequency) Hall…

Strongly Correlated Electrons · Physics 2009-11-07 P. Prelovsek , X. Zotos

The temperature dependence of the transport properties of the metallic phase of a frustrated Hubbard model on the hypercubic lattice at half-filling are calculated. Dynamical mean-field theory, which maps the Hubbard model onto a single…

Strongly Correlated Electrons · Physics 2009-10-31 Jaime Merino , Ross H. McKenzie

In this work, we study electrical conductivity and Hall conductivity in the presence of electromagnetic field using Relativistic Boltzmann Transport Equation with Relaxation Time Approximation. We evaluate these transport coefficients for a…

High Energy Physics - Phenomenology · Physics 2021-02-04 Bhaswar Chatterjee , Rutuparna Rath , Golam Sarwar , Raghunath Sahoo

This report reviews recent progress in computing Kubo formulas for general interacting Hamiltonians. The aim is to calculate electric and thermal magneto-conductivities in strong scattering regimes where Boltzmann equation and Hall…

Strongly Correlated Electrons · Physics 2024-10-04 Assa Auerbach , Sauri Bhattacharyya

In our short review, we consider the transport properties of strongly correlated Fermi systems like heavy fermion metals and high-$T_c$ superconductors. Their transport properties are defined by strong inter-particle interaction forming…

Strongly Correlated Electrons · Physics 2023-11-16 V. R. Shaginyan , A. Z. Msezane , M. V. Zverev

In the context of the relaxation time approximation to Boltzmann transport theory, we examine the behavior of the Hall number, $n_H$, of a metal in the neighborhood of a Lifshitz transition from a closed Fermi surface to open sheets. We…

Strongly Correlated Electrons · Physics 2017-08-02 Akash V. Maharaj , Ilya Esterlis , Yi Zhang , B. J. Ramshaw , S. A. Kivelson

We estimate the electrical conductivity and the Hall conductivity of hot and dense hadron gas using the relaxation time approximation of the Boltzmann transport equation in the presence of electromagnetic field. We have investigated the…

High Energy Physics - Phenomenology · Physics 2019-05-29 Arpan Das , Hiranmaya Mishra , Ranjita K. Mohapatra

Strange metals exhibit linear resistivity and anomalous Hall transport, yet a comprehensive theory that accounts for both phenomena is still lacking. Recent studies have shown SYK-like spatially random couplings between a Fermi surface and…

High Energy Physics - Theory · Physics 2025-07-15 Yi-Li Wang , Young-Kwon Han , Xian-Hui Ge , Sang-Jin Sin

In the normal state of high-Tc cuprates, the Hall coefficient shows remarkable temperature dependence, and its absolute value is enhanced in comparison with that value simply estimated on the basis of band structure. It has been recognized…

Superconductivity · Physics 2009-10-31 Kazuki Kanki , Hiroshi Kontani

The heavy fermion systems present a unique platform in which strong electronic correlations give rise to a host of novel, and often competing, electronic and magnetic ground states. Amongst a number of potential experimental tools at our…

Strongly Correlated Electrons · Physics 2012-10-18 Sunil Nair , S. Wirth , S. Friedemann , F. Steglich , Q. Si , A. J. Schofield

The anomalous Hall effect in a multiband tight-binding model is numerically studied taking into account both elastic scattering by disorder and inelastic scattering by the electron-phonon interaction. The Hall conductivity is obtained as a…

Strongly Correlated Electrons · Physics 2012-07-19 Atsuo Shitade , Naoto Nagaosa

The Hall coefficient exhibits anomalous behavior in lightly doped Mott insulators. For strongly interacting electrons its computation has been challenged by analytical and numerical obstacles. We calculate the leading contributions in the…

Strongly Correlated Electrons · Physics 2023-12-21 Ilia Khait , Sauri Bhattacharyya , Abhisek Samanta , Assa Auerbach

We develop a systematic theory of the Hall effect in Q1D conductors in both weak and strong magnetic fields for a model where the electron relaxation time varies over the Fermi surface. At high temperatures, the Hall coefficient saturates…

Condensed Matter · Physics 2007-05-23 Victor M. Yakovenko , Anatoley T. Zheleznyak

We introduce a theoretical framework for computing transport coefficients for complex materials. As a first example, we resolve long-standing inconsistencies between experiment and theory pertaining to the conductivity and Hall mobility for…

Statistical Mechanics · Physics 2015-05-19 M. -L. Zhang , D. A. Drabold

The frequency-dependent longitudinal and Hall conductivities --- $\sigma_{xx}$ and $\sigma_{xy}$ --- are dimensionless functions of $\omega/T$ in 2+1 dimensional CFTs at nonzero temperature. These functions characterize the spectrum of…

High Energy Physics - Theory · Physics 2016-08-24 Guy Gur-Ari , Sean A. Hartnoll , Raghu Mahajan

Motivated by recent experiments on electric transport through single molecules and quantum dots, we investigate a model for transport that allows for significant coupling between the electrons and a boson mode isolated on the molecule or…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Urban Lundin , Ross H. McKenzie

High precision measurements of the Hall effect have been carried out for archetypal heavy fermion compound - CeAl3 in a wide range of temperatures 1.8-300K. For the first time a complex activated behavior of the Hall coefficient in CeAl3…

Strongly Correlated Electrons · Physics 2007-05-23 N. E. Sluchanko , V. V. Glushkov , S. V. Demishev , N. A. Samarin , G. S. Burhanov , O. D. Chistiakov , D. N. Sluchanko
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