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The temperature dependences of the Hall coefficient and electrical resistivity recently measured by Moser et al. [Phys. Rev. Lett. 84, 2674 (2000)] in the quasi-one-dimensional organic conductor (TMTSF)2PF6 are quantitatively compared with…

Strongly Correlated Electrons · Physics 2007-05-23 Victor M. Yakovenko , Anatoley T. Zheleznyak

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

We present a direct numerical evidence for reflection symmetry of longitudinal resistivity $\rho_{xx}$ and quantized Hall resistivity $\rho_{xy}$ near the transition between $\nu=1$ quantum Hall state and insulator, in accord with the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. N. Sheng , Z. Y. Weng

We show that the Hall coefficient of the boson+fermion dimer model for the pseudogap phase of high temperature superconductivity introduced in Punk et al. changes sign from negative at low temperatures to positive at high temperatures at a…

Strongly Correlated Electrons · Physics 2018-04-03 Garry Goldstein

The longitudinal and transverse voltages (resistances) have been measured for MgB$_2$ in zero external magnetic fields. Samples were prepared in the form of thin film and patterned into the usual Hall bar shape. In close vicinity of the…

Superconductivity · Physics 2009-11-10 P. Vasek

The response of solids to temperature gradients is often described in terms of a gravitational analogue: the effect of a space-dependent temperature is modeled using a space dependent metric. We investigate the validity of this approach in…

Mesoscale and Nanoscale Physics · Physics 2022-05-25 Jinhong Park , Omri Golan , Yuval Vinkler-Aviv , Achim Rosch

We study the thermal transport properties in three-dimensional disordered systems close to the metal-insulator transition within linear response. Using a suitable form for the energy-dependent conductivity $\sigma$, we show that the value…

Disordered Systems and Neural Networks · Physics 2016-08-15 C. Villagonzalo , R. A. Römer , M. Schreiber , A. MacKinnon

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

We performed electric and thermoelectric transport measurements of bilayer graphene in a magnetic field up to 15 Tesla. The transverse thermoelectric conductivity $\rm\alpha_{xy}$, determined from four transport coefficients, attains a peak…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Chang-Ran Wang , Wen-Sen Lu , Wei-Li Lee

A bosonic analogue of the fractional quantum Hall eff ect occurs in rapidly rotating trapped Bose gases: There is a transition from uncorrelated Hartree states to strongly correlated states such as the Laughlin wave function. This physics…

Mathematical Physics · Physics 2015-06-12 Nicolas Rougerie , Sylvia Serfaty , Jakob Yngvason

Nonlinear transport coefficients do not obey, in general, reciprocity relations. We here discuss the magnetic-field asymmetries that arise in thermoelectric and heat transport of mesoscopic systems. Based on a scattering theory of weakly…

Mesoscale and Nanoscale Physics · Physics 2013-10-22 Sun-Yong Hwang , David Sánchez , Minchul Lee , Rosa López

An exact formula for the temperature dependent Hall number of metals is derived. It is valid for non-relativistic fermions or bosons, with arbitrary potential and interaction. This DC transport coefficient is proven to (remarkably) depend…

Strongly Correlated Electrons · Physics 2018-08-10 Assa Auerbach

We derive quantum field theory Ward identities based on linear area preserving and conformal transformations in 2+1 dimensions. The identities relate Hall viscosities, Hall conductivities and the angular momentum. They apply both for…

High Energy Physics - Theory · Physics 2015-06-22 Carlos Hoyos , Bom Soo Kim , Yaron Oz

Many thermodynamic relations involve inequalities, with equality if a process does not involve dissipation. In this article we provide equalities in which the dissipative contribution is shown to involve the relative entropy (a.k.a.…

Statistical Mechanics · Physics 2015-06-17 B. Gaveau , L. Granger , M. Moreau , L. S. Schulman

The zero temperature Hall constant R_H, described by reactive (nondissipative) conductivities, is analyzed within linear response theory. It is found that in a certain limit, R_H is directly related to the density dependence of the Drude…

Condensed Matter · Physics 2009-10-31 X. Zotos , F. Naef , M. Long , P. Prelovsek

The Hall viscosity, a non-dissipative transport coefficient analogous to Hall conductivity, is considered for quantum fluids in gapped or topological phases. The relation to mean orbital spin per particle discovered in previous work by one…

Mesoscale and Nanoscale Physics · Physics 2014-07-25 N. Read , E. H. Rezayi

We study the thermoelectric conductivities of a strongly correlated system in the presence of a magnetic field by the gauge/gravity duality. We consider a class of Einstein-Maxwell-Dilaton theories with axion fields imposing momentum…

High Energy Physics - Theory · Physics 2015-08-25 Keun-Young Kim , Kyung Kiu Kim , Yunseok Seo , Sang-Jin Sin

Electrical transport measurements are used to study the Rh-doped NaFeAs superconductor series with a focus on the tetragonal phase. The resistivity curvature has an anomalous temperature dependence evidencing in the phase diagram two…

Two well-known Hall-like effects are occurring in ferromagnets: the Anomalous Hall effect and the Planar Hall effect. The former is analogous to the classical Hall effect and is defined by the Onsager reciprocity relation of the second kind…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Jean-Eric Wegrowe , Luqian Zhou , Sariah Al Saati

Typically, Hall coefficient of materials near magnetic instabilities exhibits pronounced temperature dependence. To explore the reasons involved, we studied the temperature dependence of Hall coefficient in $Cr_{1-x}V_x$, $V_{2-y}O_3$ and…

Strongly Correlated Electrons · Physics 2024-07-08 Jalaja Pandya , Navinder Singh