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In this note, we prove the equality of the quantum bulk and the edge Hall conductances in mobility edges and in presence of disorder. The bulk and edge perturbations can be either of electric or magnetic nature. The edge conductance is…

Mathematical Physics · Physics 2014-04-01 Amal Taarabt

Conventional wisdom teaches us that the electrical conductivity in a material is the inverse of its resistivity. In this work, we show that when both of these transport coefficients are defined in linear response through the Kubo formulae…

High Energy Physics - Theory · Physics 2025-03-04 Giorgio Frangi , Sašo Grozdanov

We derive the conductivity tensor for axisymmetric perturbations of a hot, collisionless, and charge-neutral plasma in the shearing sheet approximation. Our results generalize the well-known linear Vlasov theory for uniform plasmas to…

High Energy Astrophysical Phenomena · Physics 2015-01-06 Tobias Heinemann , Eliot Quataert

For modeling the magnetic properties of concentrated and diluted magnetic semiconductors, we use the Kondo-lattice model. The magnetic phase diagram is derived by inspecting the static susceptibility of itinerant band electrons, which are…

Materials Science · Physics 2009-11-10 W. Nolting , T. Hickel , A. Ramakanth , G. G. Reddy , M. Lipowczan

The Kubo formula is used to calculate the spin-Hall conductivity in a spin-polarized two-dimensional electron system with Rashba-type spin-orbit interaction. As in the case of the unpolarized electron system, spin Hall conductivity is…

Materials Science · Physics 2009-11-13 C. P. Moca , D. C. Marinescu

The quantum field theoretical approach with the Kubo formula has successfully captured spin torques, such as spin-transfer torques and spin-orbit torques, for continuum systems. We examine the field theoretical approach to current-induced…

Mesoscale and Nanoscale Physics · Physics 2022-08-23 Junji Fujimoto

The analysis of the response to driving in the case of weakly chaotic or weakly interacting systems should go beyond linear response theory. Due to the "sparsity" of the perturbation matrix, a resistor network picture of transitions between…

Quantum Physics · Physics 2013-01-22 Doron Cohen

We analyse nonperturbatively signal transmission patterns in Green's functions of interacting quantum fields. Quantum field theory is re-formulated in terms of the nonlinear quantum-statistical response of the field. This formulation…

Quantum Physics · Physics 2008-11-26 L. I. Plimak , S. Stenholm

We employ first-principles quantum field theoretical methods to investigate the longitudinal and transverse electrical conductivities of a strongly magnetized hot quantum electrodynamics (QED) plasma at the leading order in coupling. The…

High Energy Physics - Phenomenology · Physics 2024-11-11 Ritesh Ghosh , Igor A. Shovkovy

We study classical lattice simulations of theories of electrodynamics coupled to charged matter at finite temperature, interpreting them using the higher-form symmetry formulation of magnetohydrodynamics (MHD). We compute transport…

High Energy Physics - Theory · Physics 2024-09-24 Arpit Das , Adrien Florio , Nabil Iqbal , Napat Poovuttikul

A new approach in solution of simple quantum mechanical problems in deformed space with minimal length is presented. We propose the generalization of Schro\"edinger equation in momentum representation on the case of deformed Heisenberg…

Quantum Physics · Physics 2016-06-14 M. I. Samar , V. M. Tkachuk

In recent years, the investigation of nonlinear electromagnetic responses has received significant attention due to its potential for elucidating the quantum properties of matter. Although remarkable progress has been achieved in developing…

Mesoscale and Nanoscale Physics · Physics 2025-08-28 Anwei Zhang , C. M. Wang

A central puzzle in strongly correlated electronic phases is strange metallic transport, marked by $T$-linear resistivity and $B$-linear magnetoresistance, in sharp contrast with quadratic scalings observed in conventional metals. Here, we…

Strongly Correlated Electrons · Physics 2026-05-08 Jaewon Kim , Shubhayu Chatterjee

We use the Kubo formalism to calculate the transresistivity $\rho_{21}$ for carriers in coupled quantum wells in a large perpendicular magnetic field $B$. We find that $\rho_{21}$ is enhanced by approximately 50--100 times over that of the…

Condensed Matter · Physics 2009-10-28 M. C. Bonsager , K. Flensberg , B. Y. -K. Hu , A. -P. Jauho

The time-dependent Ginzburg-Landau approach is used to investigate nonlinear response of a strongly type-II superconductor. The dissipation takes a form of the flux flow which is quantitatively studied beyond linear response. Thermal…

Superconductivity · Physics 2015-05-18 Bui Duc Tinh , Dingping Li , Baruch Rosenstein

Linear response theory serves as a fundamental tool in the study of quantum transport, extensively employed to elucidate fundamental mechanisms related to the nature of the particles involved and the underlying symmetries. This framework…

Mesoscale and Nanoscale Physics · Physics 2025-10-07 Gu Zhang , Igor Gornyi , Yuval Gefen

In model studies of the spin/anomalous Hall effect, effective Hamiltonians often serve as the starting point. However, a complete effective quantum theory contains not only the effective Hamiltonian but also the relation linking the…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Cong Xiao , Bangguo Xiong , Fei Xue

Quantum transport in disordered magnetic fields is investigated numerically in two-dimensional systems. In particular, the case where the mean and the fluctuation of disordered magnetic fields are of the same order is considered. It is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tohru Kawarabayashi , Tomi Ohtsuki

The quantum derivatives of $e^{-A}, A^{-1}$ and $\log A$, which play a basic role in quantum statistical physics, are derived and their convergence is proven for an unbounded positive operator $A$ in a Hilbert space. Using the quantum…

Mathematical Physics · Physics 2009-10-31 Masuo Suzuki

The electric and thermo-magneto-electric transport of the prototypical ferromagnetic transition-metal alloy system fcc-Co$_x$Pd$_{1-x}$ has been investigated on the basis of Kubo's linear response formalism. The results for the full…

Materials Science · Physics 2015-02-18 S. Wimmer , D. Ködderitzsch , H. Ebert