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We consider a distribution of conductance fluctuations in quantum dots with single channel leads and continuous level spectra and we demonstrate that it has a distinctly non-Gaussian shape and strong dependence on time-reversal symmetry, in…

Condensed Matter · Physics 2009-10-28 Edward McCann , Igor V. Lerner

We study the conductance of a quantum wire in the presence of weak electron-electron scattering. In a sufficiently long wire the scattering leads to full equilibration of the electron distribution function in the frame moving with the…

Mesoscale and Nanoscale Physics · Physics 2009-03-19 J. Rech , T. Micklitz , K. A. Matveev

We investigate transport of spinless fermions through a single site dot junction of M one-dimensional quantum wires. The semi-infinite wires are described by a tight-binding model. Each wire consists of two parts: the non-interacting leads…

Strongly Correlated Electrons · Physics 2009-11-11 X. Barnabe-Theriault , A. Sedeki , V. Meden , K. Schoenhammer

We consider the disorder-induced correction to the minimal conductance of an anisotropic two-dimensional Dirac node or a three-dimensional Weyl node. An analytical expression is derived for the correction $\delta G$ to the conductance of a…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Zheng Shi , Björn Sbierski , Piet W. Brouwer

We study numerically the charge conductance distributions of disordered quantum spin-Hall (QSH) systems using a quantum network model. We have found that the conductance distribution at the metal-QSH insulator transition is clearly…

Mesoscale and Nanoscale Physics · Physics 2010-10-05 K. Kobayashi , T. Ohtsuki , H. Obuse , K. Slevin

The properties of conductance in one-dimensional (1D) quantum wires are statistically investigated using an array of 256 lithographically-identical split gates, fabricated on a GaAs/AlGaAs heterostructure. All the split gates are measured…

Mesoscale and Nanoscale Physics · Physics 2014-07-29 L. W. Smith , H. Al-Taie , F. Sfigakis , P. See , A. A. J. Lesage , B. Xu , J. P. Griffiths , H. E. Beere , G. A. C. Jones , D. A. Ritchie , M. J. Kelly , C. G. Smith

We show how a recent proposal to obtain the distribution of conductances in three dimensions (3D) from a generalized Fokker-Planck equation for the joint probability distribution of the transmission eigenvalues can be implemented for all…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. Markos , K. A. Muttalib , P. Wolfle , J. R. Klauder

Distribution of the conductance P(g) at the critical point of the metal-insulator transition is presented for three and four dimensional orthogonal systems. The form of the distribution is discussed. Dimension dependence of P(g) is proven.…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Peter Markos

We investigate the transport properties of a quantum wire of weakly interacting fermions in the presence of local particle loss. We calculate current and conductance in this system due to applied external chemical potential bias that can be…

Statistical Mechanics · Physics 2024-11-18 Marcel Gievers , Thomas Müller , Heinrich Fröml , Sebastian Diehl , Alessio Chiocchetta

We model the effect of phase-breaking collisions on the coherent electron transport in a disordered one-dimensional single-channel wire. In our model the phase-breaking collisions break the wire into segments, where each segment is an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Martin Mosko , Pavel Vagner , Peter Markos , Thomas Schaepers

In the weak disordered regime we provide analytical expressions for the electron localization lengths in quasi-one dimensional (Q1D) disordered quantum wire with hard wall and periodic boundary conditions. They are exact up to order $W^2$…

Disordered Systems and Neural Networks · Physics 2011-06-07 Vladimir Gasparian , Emilio Cuevas

We have measured the temperature dependence of the conductance in long V-groove quantum wires (QWRs) fabricated in GaAs/AlGaAs heterostructures. Our data is consistent with recent theories developed within the framework of the Luttinger…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. Levy , A. Tsukernik , M. Karpovski , A. Palevski , B. Dwir , E. Pelucchi , A. Rudra , E. Kapon , Y. Oreg

We study the spin transport properties of some disordered spin chains with a special focus on the distribution of the frequency-dependent spin conductivity. In the cases of interest here, the systems are governed by an effectively infinite…

Disordered Systems and Neural Networks · Physics 2024-01-30 L. F. C. Faria , Victor L. Quito , João C. Getelina , José A. Hoyos , E. Miranda

We study the conductance of disordered wires with unitary symmetry focusing on the case in which $m$ perfectly conducting channels are present due to the channel-number imbalance between two-propagating directions. Using the exact solution…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Yositake Takane

We theoretically investigate a quasi-one-dimensional quantum wire, where the lowest two subbands are populated, in the presence of a helical magnetic field. We uncover a backscattering mechanism involving the helical magnetic field and…

Mesoscale and Nanoscale Physics · Physics 2020-11-11 Chen-Hsuan Hsu , Flavio Ronetti , Peter Stano , Jelena Klinovaja , Daniel Loss

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

Kubo formula is used to get the scaling behavior of the static conductance distribution of wide wires showing pure non-diagonal disorder. Following recent works that point to unusual phenomena in some circumstances, scaling at the band…

Disordered Systems and Neural Networks · Physics 2009-11-07 J. A. Verges

We study analytically one-dimensional interacting spinless fermions in a Fibonacci potential. We show that the effects of the quasiperiodic modulation are intermediate between those of a commensurate potential and a disordered one. The…

Condensed Matter · Physics 2007-05-23 J. Vidal , D. Mouhanna , T. Giamarchi

We report on the experimental study of electron transport in sub-micron-wide ''wires'' fabricated from Si $\delta $-doped GaAs. These quasi-one-dimensional (Q1D) conductors demonstrate the crossover from weak to strong localization with…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yu. B. Khavin , M. E. Gershenson , A. L. Bogdanov

In this paper we present and discuss our results for the conductance and conductance fluctuations of narrow quantum wires with two types of disorder: boundary roughness (hard wall confining potential) and islands of strongly scattering…

Condensed Matter · Physics 2009-10-22 K Nikolić , A MacKinnon