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We describe general features of frequency-dependent charge transport near strongly interacting quantum critical points in 2+1 dimensions. The simplest description using the AdS/CFT correspondence leads to a self-dual Einstein-Maxwell theory…

High Energy Physics - Theory · Physics 2015-03-17 Robert C. Myers , Subir Sachdev , Ajay Singh

I review a variety of model systems and their quantum critical points, motivated by recent experimental and theoretical developments. These are used to present a general discussion of the non-zero temperature crossovers in the vicinity of a…

Strongly Correlated Electrons · Physics 2015-05-14 Subir Sachdev

We calculate the temperature dependence of conductivity due to interaction correction for a disordered itinerant electron system close to a ferromagnetic quantum critical point which occurs due to a spin density wave instability. In the…

Strongly Correlated Electrons · Physics 2009-11-13 I. Paul

We study the conductivity in itinerant-electron systems near to a magnetic quantum critical point. We show that, for a class of geometries, the universal power-law dependence of resistivity upon temperature may be reflected in a universal…

Strongly Correlated Electrons · Physics 2008-11-09 P. M. Hogan , A. G. Green

We describe electrical transport in ideal single-layer graphene at zero applied bias. There is a crossover from collisionless transport at frequencies larger than k_B T/hbar (T is the temperature) to collision-dominated transport at lower…

Mesoscale and Nanoscale Physics · Physics 2008-08-14 Lars Fritz , Joerg Schmalian , Markus Mueller , Subir Sachdev

We describe the nature of charge transport at non-zero temperatures ($T$) above the two-dimensional ($d$) superfluid-insulator quantum critical point. We argue that the transport is characterized by inelastic collisions among thermally…

Strongly Correlated Electrons · Physics 2009-10-30 Kedar Damle , Subir Sachdev

We study charge transport of quantum critical points described by conformal field theories in 2+1 spacetime dimensions. The transport is described by an effective field theory on an asymptotically anti-de Sitter spacetime, expanded to…

Strongly Correlated Electrons · Physics 2013-01-16 William Witczak-Krempa , Subir Sachdev

We consider a transmission of electrons through a two-dimensional ballistic point contact in the low-conductance regime below the 0.7-anomaly. The scattering of electrons by Friedel oscillations of charge density results in a contribution…

Mesoscale and Nanoscale Physics · Physics 2013-01-10 Tatiana Krishtop , Kirill Nagaev

The temperature dependence of the conductance of a quantum point contact has been measured. The conductance as a function of the Fermi energy shows temperature-independent fixed points, located at roughly multiple integers of $e^{2}/h$.…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. Senz , T. Heinzel , T. Ihn , S. Lindemann , R. Held , K. Ensslin , W. Wegscheider , M. Bichler

We study the temperature dependence of the conductivity due to quantum interference processes for a two-dimensional disordered itinerant electron system close to a ferromagnetic quantum critical point. Near the quantum critical point, the…

Strongly Correlated Electrons · Physics 2009-11-11 I. Paul , C. Pépin , B. N. Narozhny , D. L. Maslov

Quantum systems in extreme conditions can exhibit universal behavior far from equilibrium associated to nonthermal fixed points with a wide range of topical applications from early-universe inflaton dynamics and heavy-ion collisions to…

High Energy Physics - Phenomenology · Physics 2025-01-27 Jürgen Berges , Benjamin Wallisch

We present an overview of time-dependent transport phenomena in quantum systems, with a particular emphasis on steady-state regimes. We present the ideas after the main theoretical frameworks to study open-quantum systems out of…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Matteo Acciai , Liliana Arrachea , Janine Splettstoesser

Based on the nonequilibrium Green's function (NEGF), we develop a quantum nonlinear theory to study time-dependent ac transport properties in the low frequency and nonlinear bias voltage regimes. By expanding NEGF in terms of time to the…

Mesoscale and Nanoscale Physics · Physics 2023-11-07 Lei Zhang , Fuming Xu , Jian Chen , Yanxia Xing , Jian Wan

The physics of non-zero temperature dynamics and transport near quantum-critical points is discussed by a detailed study of the O(N)-symmetric, relativistic, quantum field theory of a N-component scalar field in $d$ spatial dimensions. A…

Strongly Correlated Electrons · Physics 2025-09-08 Subir Sachdev

An exact theoretical framework based on Time Dependent Density Functional Theory (TDDFT) is proposed in order to deal with the time-dependent quantum transport in fully interacting systems. We use a \textit{partition-free} approach by Cini…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Gianluca Stefanucci , Carl-Olof Almbladh

Based on our earlier works [Phys. Rev. B 75, 195127 (2007) & J. Chem. Phys. 128, 234703 (2008)], we propose a formally exact and numerically convenient approach to simulate time-dependent quantum transport from first-principles. The…

Chemical Physics · Physics 2015-05-18 Xiao Zheng , GuanHua Chen , Yan Mo , SiuKong Koo , Heng Tian , ChiYung Yam , YiJing Yan

Single band theories of quantum criticality successfully describe a single-particle lifetime with non-Fermi liquid temperature dependence. But, they fail to obtain a charge transport rate with the same dependence unless the interaction is…

Strongly Correlated Electrons · Physics 2015-06-12 I. Paul , C. Pépin , M. R. Norman

We investigate the second-order nonlinear electronic thermal transport induced by temperature gradient. We develop the quantum kinetic theory framework to describe thermal transport in presence of a temperature gradient. Using this, we…

Mesoscale and Nanoscale Physics · Physics 2023-07-05 Harsh Varshney , Kamal Das , Pankaj Bhalla , Amit Agarwal

We investigate bias-driven non-equilibrium quantum phase transitions in a paradigmatic quantum-transport setup: an interacting quantum dot coupled to non-interacting metallic leads. Using the Random Phase Approximation, which is exact in…

Strongly Correlated Electrons · Physics 2026-01-29 José F. B. Afonso , Stefan Kirchner , Pedro Ribeiro

In an earlier work, Damle and the author (Phys. Rev. B in press; cond-mat/9705206) demonstrated the central role played by incoherent, inelastic processes in transport near two-dimensional quantum critical points. This paper extends these…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Subir Sachdev
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