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We reconcile the phenomenon of mesoscopic conductance fluctuations with the single parameter scaling theory of the Anderson transition. We calculate three averages of the conductance distribution: $\exp(<\ln g>)$, $<g>$ and $1/<R>$ where…

Disordered Systems and Neural Networks · Physics 2009-11-07 Keith Slevin , Peter Markoš , Tomi Ohtsuki

Electron transport in a self-consistent potential along a ballistic two-terminal conductor has been investigated. We have derived general formulas which describe the nonlinear current-voltage characteristics, differential conductance, and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 O. M. Bulashenko , J. M. Rubi

We report a theoretical investigation on conductance fluctuation of mesoscopic systems. Extensive numerical simulations on quasi-one dimensional, two dimensional, and quantum dot systems with different symmetries (COE, CUE, and CSE)…

Disordered Systems and Neural Networks · Physics 2009-10-20 Zhenhua Qiao , Yanxia Xing , Jian Wang

We summarize the present status of the theories of spin fluctuations in dealing with the anomalous or non-Fermi liquid behavior and unconventional superconductivity in strongly correlated electron systems around their magnetic instabilities…

Strongly Correlated Electrons · Physics 2007-05-23 Toru Moriya

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

Fluctuations of conserved quantities within a subsystem are non-local observables that provide unique insights into quantum many-body systems. In this paper, we study bipartite charge (and spin) fluctuations across interaction-driven…

Strongly Correlated Electrons · Physics 2025-08-11 Xiao-Chuan Wu

The standard semiclassical calculation of transmission correlation functions for chaotic systems is severely influenced by unitarity problems. We show that unitarity alone imposes a set of relationships between cross sections correlation…

Chaotic Dynamics · Physics 2009-11-07 Raul O. Vallejos , Caio H. Lewenkopf

We consider the zero frequency fluctuations of charge inside a mesoscopic conductor in the large capacitance limit. In analogy to current counting statistics we derive the characteristic function of charge fluctuations in terms of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Pilgram , M. Buttiker

We investigate a disorderly mesoscopic device that supports spin-orbit interaction. The systemis connected to four semi-infinite leads embedded in the Landauer-Buttiker setup for quantumtransport and, according to our analysis, exhibits…

Mesoscale and Nanoscale Physics · Physics 2020-07-07 F. A. F. Santana , J. M. da Silva , T. C. Vasconcelos , J. G. G. S. Ramos , A. L. R. Barbosa

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 study fluctuations of spin-polarized currents in a three-terminal spin-valve system consisting of a diffusive normal metal wire connected by tunnel junctions to three ferromagnetic terminals. Based on a spin-dependent Boltzmann-Langevin…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Zareyan , W. Belzig

Higher order time-correlators of spontaneous spin fluctuations reveal the information about spin interactions. We argue that in a broad class of spin systems one can justify a phenomenological approach to explore such correlators. Thus, we…

Statistical Mechanics · Physics 2016-02-04 Fuxiang Li , N. A. Sinitsyn

The spin relaxation time of localized charge carriers is few orders of magnitude larger than that of free electrons and holes. Therefore mutual conversion of spin polarization, charge current and spin current turns out to be underlined in…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 A. V. Shumilin , D. S. Smirnov , L. E. Golub

We show that above the critical temperature of superconductor - metal phase transitions, both the longitudinal and Hall conductivity exhibit strong temperature dependent mesoscopic fluctuations, with amplitudes much larger than the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Zhou , C. Biagini

We investigate the spin Hall effect in ballistic chaotic quantum dots with spin-orbit coupling. We show that a longitudinal charge current can generate a pure transverse spin current. While this transverse spin current is generically…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. H. Bardarson , I. Adagideli , Ph. Jacquod

A Hall effect due to spin chirality in mesoscopic systems is predicted. We consider a 4-terminal Hall system including local spins with geometry of a vortex domain wall, where strong spin chirality appears near the center of vortex. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jun-ichiro Ohe , Tomi Ohtsuki , Bernhard Kramer

We formulate a general path integral approach which describes statistics of current fluctuations in mesoscopic coherent conductors at arbitrary frequencies and in the presence of interactions. Applying this approach to the non-interacting…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. S. Golubev , A. V. Galaktionov , A. D. Zaikin

The semiclassical Boltzmann transport equation of charged, massive fermions in a rotating frame of reference, in the presence of external electromagnetic fields is solved in the relaxation time approach to establish the distribution…

Mathematical Physics · Physics 2018-03-02 O. F. Dayi , E. Yunt

The effect of the collision term of the Boltzmann equation is discussed for the diagonal conductivity in the absence of magnetic field and the off-diagonal conductivity within the linear order of magnetic field. The consistency between the…

Superconductivity · Physics 2021-04-02 Osamu Narikiyo

In mesoscopic systems conductance fluctuations are a sensitive probe of electron dynamics and chaotic phenomena. We show that the conductance of a purely classical chaotic system with either fully chaotic or mixed phase space generically…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 H. Hennig , R. Fleischmann , L. Hufnagel , T. Geisel