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We report a complete analytical expression for the one-loop correction to the ac conductivity $\sigma(\omega)$ of a disordered two-dimensional electron system in the diffusive regime. The obtained expression includes the weak localization…

Mesoscale and Nanoscale Physics · Physics 2020-10-27 I. S. Burmistrov

We study numerically conductance fluctuations near the integer quantum Hall effect plateau transition. The system is presumed to be in a mesoscopic regime, with phase coherence length comparable to the system size. We focus on a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Sora Cho , Matthew P. A. Fisher

We offer a new perspective to the problem of characterizing mesoscopic fluctuations in the inter-plateau region of the integer quantum Hall transition. We found that longitudinal and transverse conductance fluctuations, generated by varying…

We explore statistical fluctuations over the ensemble of quantum trajectories in a model of two-dimensional free fermions subject to projective monitoring of local charge across the measurement-induced phase transition. Our observables are…

Quantum Physics · Physics 2026-02-11 Igor Poboiko , Igor V. Gornyi , Alexander D. Mirlin

We consider the distribution of conductance fluctuations in disordered quantum dots with single channel leads. Using a perturbative diagrammatic approach, valid for continuous level spectra, we describe dephasing due to processes within the…

Condensed Matter · Physics 2009-10-30 Edward McCann , Igor V. Lerner

We report a theoretical investigation on spin-Hall conductance fluctuation of disordered four terminal devices in the presence of Rashba or/and Dresselhaus spin-orbital interactions in two dimensions. As a function of disorder, the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Wei Ren , Zhenhua Qiao , Jian Wang , Qingfeng Sun , Hong Guo

This thesis describes the merging of the two fields of Coulomb drag and mesoscopic physics. The thesis presents a theory for Coulomb drag between two mesoscopic systems based on linear-response theory. The formalism expresses the drag in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Niels Asger Mortensen

We consider mesoscopic fluctuations of the Coulomb drag coefficient $\rho_D$ in the system of two separated two-dimensional electron gases. It is shown that at low temperatures sample to sample fluctuations of $\rho_D$ exceed its ensemble…

Condensed Matter · Physics 2009-10-31 B. N. Narozhny , I. L. Aleiner

Mesoscopic conductance fluctuations are a ubiquitous signature of phase-coherent transport in small conductors, exhibiting universal character independent of system details. In this work, however, we demonstrate a pronounced breakdown of…

The excess Hall conductivity, resulting from thermal fluctuations of the superconducting order parameter, is calculated for a layered superconductor for an arbitrarily strong in-plane electric field and a perpendicular magnetic field in the…

Superconductivity · Physics 2009-11-10 I. Puica , W. Lang

We evaluate a typical value of higher order cumulants (irreducible moments) of conductance fluctuations that could be extracted from magneto-conductance measurements in a single sample when an external magnetic field is swept over an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 O. Tsyplyatyev , I. L. Aleiner , Vladimir I. Fal'ko , Igor V. Lerner

We consider the current fluctuations in a mesoscopic circuit consisting of nodes connected by arbitrary connectors, in a setup with multiple normal or superconducting terminals. In the limit of weak superconducting proximity effect,…

Superconductivity · Physics 2007-05-23 P. Virtanen , T. T. Heikkila

The critical fluctuations in a mesoscopic superconducting ring are studied within the Ginzburg-Landau approach. The nonlocal conductivity as well as the specific heat are calculated as functions of the magnetic flux $\Phi$ through the ring.…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 S. Mironov , A. Buzdin

Impurities and defects are ubiquitous in topological insulators (TIs) and thus understanding the effects of disorder on electronic transport is important. We calculate the distribution of the random conductance fluctuations $P(G)$ of…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Hsiu-Chuan Hsu , Ioannis Kleftogiannis , Guang-Yu Guo , Victor A. Gopar

Tensor networks are employed to characterize the current fluctuations in one-dimensional diffusion-reaction systems. The representative system under study is a semiconducting material where holes and electrons constitute two types of charge…

Statistical Mechanics · Physics 2025-12-16 Jiayin Gu

Quantum spin-Hall edges are envisaged as next-generation transistors, yet they exhibit dissipationless transport only over short distances. Here we show that in a diffusive sample, where charge puddles with odd spin cause back-scattering, a…

Mesoscale and Nanoscale Physics · Physics 2021-08-24 Zhanning Wang , Pankaj Bhalla , Mark Edmonds , Michael S. Fuhrer , Dimitrie Culcer

We have analyzed the spectral density of fluctuations of the energy flux through a mesoscopic constriction between two equilibrium reservoirs. It is shown that at finite frequencies, the fluctuating energy flux is not related to the thermal…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Dmitri V. Averin , Jukka P. Pekola

We report a systematic experimental study of mesoscopic conductance fluctuations in superconductor/normal/superconductor (SNS) devices Nb/InAs-nanowire/Nb. These fluctuations far exceed their value in the normal state and strongly depend on…

Mesoscale and Nanoscale Physics · Physics 2009-12-18 T. S. Jespersen , M. L. Polianski , C. B. Soerensen , K. Flensberg , J. Nygaard

We use optimal fluctuation method for a new ballistic $\sigma$-model to study the long time dispersion of conductance $G(t)$ of a mesoscopic sample. In the long time limit the conductance of a $d$-dimensional sample decays as $\exp (-A…

Condensed Matter · Physics 2016-08-31 B. A. Muzykantskii , D. E. Khmelnitskii

Universal conductance fluctuations are usually observed in the form of aperiodic oscillations in the magnetoresistance of thin wires as a function of the magnetic field B. If such oscillations are completely random at scales exceeding…

Disordered Systems and Neural Networks · Physics 2020-06-24 V. V. Brazhkin , I. M. Suslov