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Using the Landauer formula and a random matrix model, we investigate the autocorrelation function of the conductance versus magnetic field strength for ballistic electron transport through few-channel microstructures with the shape of a…

Disordered Systems and Neural Networks · Physics 2009-10-31 P. -B. Gossiaux , Z. Pluhar , H. A. Weidenmueller

Using the Fokker-Planck equation describing the evolution of the transmission eigenvalues for Dyson's Brownian motion ensemble, we calculate the magnetoconductance of a ballistic chaotic dot in in the crossover regime from the orthogonal to…

Condensed Matter · Physics 2009-10-28 Klaus Frahm , Jean-Louis Pichard

The autocorrelation function $C_{\varphi,\eps}(\Delta\varphi,\,\Delta \eps)=$ $\langle \delta g(\varphi,\,\eps)\, \delta g(\varphi+\Delta\varphi,\,\eps+\Delta \eps)\rangle$ ($\varphi$ and $\eps$ are rescaled magnetic flux and energy) for…

Condensed Matter · Physics 2009-10-28 Klaus Frahm

Employing techniques recently developed in the context of the Fokker--Planck approach to electron transport in disordered systems we calculate the conductance length correlation function $< \delta g(L) \delta g(L+\Delta L) >$ for quasi 1d…

Disordered Systems and Neural Networks · Physics 2009-10-30 Klaus Frahm , Axel Mueller-Groeling

We study the spin-Hall conductance fluctuations in ballistic mesoscopic systems. We obtain universal expressions for the spin and charge current fluctuations, cast in terms of current-current autocorrelation functions. We show that the…

Mesoscale and Nanoscale Physics · Physics 2012-12-14 J. G. G. S. Ramos , A. L. R. Barbosa , D. Bazeia , M. S. Hussein , C. H. Lewenkopf

We propose the autocorrelator of conductance peak heights as a signature of the underlying chaotic dynamics in quantum dots in the Coulomb blockade regime. This correlation function is directly accessible to experiments and its decay width…

Condensed Matter · Physics 2009-10-28 Henrik Bruus , Caio H. Lewenkopf , Eduardo R. Mucciolo

We embark on computing the longitudinal magnetoconductivity within the semiclassical Boltzmann formalism, where an isotropic triple-point semimetal (TSM) is subjected to collinear electric ($\boldsymbol E $) and magnetic ($\boldsymbol B$)…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Ipsita Mandal

Electrical conduction is studied along parabolically confined quasi-one dimensional channels, in the framework of a revised linear-response theory, for elastic scattering. For zero magnetic field an explicit multichannel expression for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Guillon , P. Vasilopoulos , C. M. Van Vliet

The exponent $\lambda$ that describes the decay of the autocorrelation function $A(t)$ in a phase ordering system, $A(t) \sim L^{-(d-\lambda)}$, where $d$ is the dimension and $L$ the characteristic length scale at time $t$, is calculated…

Condensed Matter · Physics 2009-10-22 A. J. Bray , B. Derrida

We use magnetoconductance fluctuation measurements of phase-coherent semiconductor billiards to quantify the contributions to the nonlinear electric conductance that are asymmetric under reversal of magnetic field. We experimentally…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. A. Marlow , R. P. Taylor , M. Fairbanks , I. Shorubalko , H. Linke

We study the autocorrelation function of different types of eigenfunctions in quantum mechanical systems with either chaotic or mixed classical limits. We obtain an expansion of the autocorrelation function in terms of the correlation…

Chaotic Dynamics · Physics 2009-11-07 Arnd Bäcker , Roman Schubert

We study the two-point function of local operators in the critical O(N) model in the presence of a magnetic field localized on a line. We use a recently developed conformal dispersion relation to compute the correlator at first order in the…

High Energy Physics - Theory · Physics 2023-05-03 Lorenzo Bianchi , Davide Bonomi , Elia de Sabbata

We perform a multifractal detrended fluctuation analysis of the magnetoconductance data of two standard types of mesoscopic systems: a disordered nanowire and a ballistic chaotic billiard, with two different lattice structures. We observe…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 N. L. Pessoa , A. L. R. Barbosa , G. L. Vasconcelos , A. M. S. Macêdo

We study the ensemble-averaged conductance as a function of applied magnetic field for ballistic electron transport across few-channel microstructures constructed in the shape of classically chaotic billiards. We analyse the results of…

Condensed Matter · Physics 2015-06-25 Z. Pluhar , H. A. Weidenmueller , J. A. Zuk , C. H. Lewenkopf

By exploring the four-terminal transmission of a semi-elliptic open quantum billiard in dependence of its geometry and an applied magnetic field, it is shown that a controllable switching of currents between the four terminals can be…

Mesoscale and Nanoscale Physics · Physics 2012-01-06 Christian Morfonios , Daniel Buchholz , Peter Schmelcher

We calculate the magneto-resistivities of a two-dimensional electron gas subjected to a lateral superlattice (LSL) of rectangular symmetry within the guiding-center picture, which approximates the classical electron motion as a rapid…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Rolf R. Gerhardts , Stephan D. M. Zwerschke

We study the magnetic response of mesoscopic quantum dots in the ballistic regime where the mean free path $l_e$ is larger that the size $L$ of the sample, yet smaller than $L (k_F L)^{d-1}$. In this regime, disorder plays an important…

Condensed Matter · Physics 2009-10-22 Daniel Braun , Yuval Gefen , Gilles Montambaux

We study theoretically the linear conductance of a quantum dot connected to ferromagnetic leads. The dot level is split due to a non-collinear magnetic field or intrinsic magnetization. The system is studied in the non-interacting…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jonas N. Pedersen , Jesper Q. Thomassen , Karsten Flensberg

The autocorrelation function of spectral determinants (ASD) is used to characterize the discrete spectrum of a phase coherent quasi- 1- dimensional, disordered wire as a function of its length L in a finite, weak magnetic field. An…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Stefan Kettemann

We compare predictions of the mean-field theory of superconductivity for nearly antiferromagnetic and nearly ferromagnetic metals for cubic and tetragonal lattices. The calculations are based on the parametrization of an effective…

Strongly Correlated Electrons · Physics 2009-11-07 P. Monthoux , G. G. Lonzarich
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