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We provide a pedagogical review of the main ideas and results in non-equilibrium conformal field theory and connected subjects. These concern the understanding of quantum transport and its statistics at and near critical points. Starting…

Statistical Mechanics · Physics 2016-12-20 Denis Bernard , Benjamin Doyon

We investigate the distribution of the electron density and the potential in a quantum wire coupled to reservoirs, treating this structure as a unified quantum system and taking into account the Coulomb interaction of electrons. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. A. Sablikov , S. V. Polyakov , M. Buttiker

Superconductivity is abundant near quantum-critical points, where fluctuations suppress the formation of Fermi liquid quasiparticles and the BCS theory no longer applies. Two very distinct approaches have been developed to address this…

Strongly Correlated Electrons · Physics 2022-06-02 Gian Andrea Inkof , Koenraad Schalm , Jörg Schmalian

Transport of charge carriers in mechanically soft semiconductors is mainly limited by their interaction with slow intermolecular phonons. Carrier motion exhibits a crossover from superdiffusive to subdiffusive, producing a distinct…

Strongly Correlated Electrons · Physics 2025-07-08 Veljko Janković

A holographic description on antiferromagnetic quantum phase transition (QPT) induced by magnetic field and the criticality in the vicinity of quantum critical point (QCP) have been investigated numerically recently. In this paper, we show…

High Energy Physics - Theory · Physics 2015-09-02 Rong-Gen Cai , Run-Qiu Yang , F. V. Kusmartsev

We study electrical transport at quantum critical points (QCPs) associated with loop current ordering in a metal, focusing specifically on models of the "Hertz-Millis" type. At the infrared (IR) fixed point and in the absence of disorder,…

Strongly Correlated Electrons · Physics 2023-05-17 Zhengyan Darius Shi , Dominic V. Else , Hart Goldman , T. Senthil

We study the AC conductance and equilibrium current fluctuations of a Coulomb blockaded quantum dot. A relation between the equilibrium spectral function and the linear AC conductance is derived which is valid for frequencies well below the…

Strongly Correlated Electrons · Physics 2009-11-10 M. Sindel , W. Hofstetter , J. von Delft , M. Kindermann

We present dynamical transport calculations based on a tight-binding approximation to adiabatic time-dependent density functional theory (TD-DFTB). The reduced device density matrix is propagated through the Liouville-von Neumann equation.…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Christian Oppenländer , Björn Korff , Thomas Frauenheim , Thomas A. Niehaus

We study charge transport properties in a domain-wall geometry, whose near horizon IR geometry is a Lifshitz black hole and whose UV geometry is AdS. The action for the gauge field contains the standard Maxwell term plus the Weyl tensor…

High Energy Physics - Theory · Physics 2011-08-30 José P. S. Lemos , Da-Wei Pang

We discuss under what conditions the duality between electric and magnetic fields is a valid symmetry of macroscopic quantum electrodynamics. It is shown that Maxwell's equations in the absence of free charges satisfy duality invariance on…

Quantum Physics · Physics 2009-12-14 Stefan Yoshi Buhmann , Stefan Scheel

We describe the interplay between electric-magnetic duality and higher symmetry in Maxwell theory. When the fine-structure constant is rational, the theory admits non-invertible symmetries which can be realized as composites of…

High Energy Physics - Theory · Physics 2023-08-01 Clay Cordova , Kantaro Ohmori

We study the charge transport properties of fields confined to a (2+1)-dimensional defect coupled to (3+1)-dimensional super-Yang-Mills at large-$\nc$ and strong coupling, using AdS/CFT techniques applied to linear response theory. The dual…

High Energy Physics - Theory · Physics 2009-01-09 Robert C. Myers , Matthias C. Wapler

Within the framework of the AdS/CMT correspondence asymptotically anti-de Sitter black holes in four space-time dimensions can be used to analyse transport properties in two space dimensions. A non-linear renormalisation group equation for…

High Energy Physics - Theory · Physics 2021-02-23 Brian P. Dolan

We study correlated quantum wires subject to harmonic modulation of the onsite-potential concentrating on the limit of large times, where the response of the system has synchronized with the drive. We identify the ratio…

Strongly Correlated Electrons · Physics 2018-01-10 D. M. Kennes

Nonlinear transport phenomena induced by the chiral anomaly are explored within a 4D field theory defined holographically as $U(1)_V\times U(1)_A$ Maxwell-Chern-Simons theory in Schwarzschild-$AdS_5$. First, in presence of external…

High Energy Physics - Theory · Physics 2019-03-19 Yanyan Bu , Tuna Demircik , Michael Lublinsky

Thouless' quantization of adiabatic particle transport permits to associate an integer topological charge with each atom of an electronically gapped material. If these charges are additive and independent of atomic positions, they provide a…

Materials Science · Physics 2023-05-18 Paolo Pegolo , Federico Grasselli , Stefano Baroni

We summarize the main results of a microscopically based kinetic theory, applicable to open quantum point contacts (QPCs) driven up to high fields. The governing role of gauge invariance -- and the many-body sum rules for the electron gas…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mukunda P. Das , Frederick Green , Jagdish S. Thakur

Proofs are given that the quantum-mechanical description of the LC-circuit with a time dependent external source can be readily established by starting from a general discretization rule of the electric charge. For this purpose one resorts…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. Papp , C. Micu , O. Borchin

We prove that a $4d$ theory of non-linear electrodynamics has equations of motion which are equivalent to those of the Maxwell theory in curved spacetime, but with the usual metric $g_{\mu \nu}$ replaced by a unit-determinant metric $h_{\mu…

High Energy Physics - Theory · Physics 2025-01-22 Christian Ferko , Cian Luke Martin

Using holographic duality, we present an analytically controlled theory of quantum critical points without quasiparticles, at finite disorder and finite charge density. These fixed points are obtained by perturbing a disorder-free quantum…

Strongly Correlated Electrons · Physics 2023-10-05 Xiaoyang Huang , Subir Sachdev , Andrew Lucas
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