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This lecture note reviews a variety of transport and thermodynamic measurements of electron decoherence time in low-dimensional conductors at low temperature. The mechanism of dephasing by electron interaction mediated by an arbitrarily…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. Mohanty

We review recent work on the random hopping problem in a quasi-one-dimensional geometry of N coupled chains (quantum wire with off-diagonal disorder). Both density of states and conductance show a remarkable dependence on the parity of N.…

Disordered Systems and Neural Networks · Physics 2015-06-24 P. W. Brouwer , C. Mudry , A. Furusaki

When impurity and phonon scattering coexist, the Boltzmann equation has been solved accurately for nonlinear electron transport in a quantum wire. Based on the calculated non-equilibrium distribution of electrons in momentum space, the…

Strongly Correlated Electrons · Physics 2015-05-18 Danhong Huang , Godfrey Gumbs

We calculate the temperature, density, and parallel magnetic field dependence of low temperature electronic resistivity in 2D high-mobility Si/SiGe quantum structures, assuming the conductivity limiting mechanism to be carrier scattering by…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. H. Hwang , S. Das Sarma

The electronic orders appearing in condensed matter systems are originating from the precise arrangement of atoms constituting the crystal as well as their nature. This teneous relationship can lead to highly different phases in condensed…

We develop the theory of hydrodynamic electron transport in a long-range disorder potential for conductors in which the underlying electron liquid lacks Galilean invariance. For weak disorder, we express the transport coefficients of the…

Mesoscale and Nanoscale Physics · Physics 2020-08-19 Songci Li , Alex Levchenko , A. V. Andreev

We study the electrical conductivity in a nodal-line semimetal with charged impurities. The screening of the Coulomb potential in this system is qualitatively different from what is found in conventional metals or semiconductors, with the…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 S. V. Syzranov , B. Skinner

We report and analyze low-temperature measurements of the conductance of partially disordered reduced graphene oxide, finding that the data follow a simple crossover scenario. At room temperature, conductance is dominated by two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2013-10-24 C. Y. Cheah , C. Gómez-Navarro , L. C. Jaurigue , A. B. Kaiser

The theory of first order density-driven phase transitions with frustration due to the long range Coulomb (LRC) interaction develop on paper I of this series is applied to the following physical systems: i) the low density electron gas ii)…

Strongly Correlated Electrons · Physics 2016-08-31 J. Lorenzana , C. Castellani , C. Di Castro

Motivated by evidence of local electron-electron attraction in experiments on disordered insulating films, we propose a new two-component Coulomb glass model that combines strong disorder and long-range Coulomb repulsion with the additional…

Disordered Systems and Neural Networks · Physics 2013-05-30 Joe Mitchell , Anirban Gangopadhyay , Victor Galitski , Markus Mueller

There is compelling evidence that charge carriers in organic semiconductors (OSs) self-localize in nano-scale space because of dynamic disorder. Yet, some OSs, in particular recently emerged high-mobility organic molecular crystals, feature…

The localization of electrons caused by atomic disorder is a well-known phenomenon. However, what circumstances allow electrons to remain delocalized and retain band-like characteristics even when the crystal structure is completely absent,…

We examine the charge transport through disordered arrays of metallic dots using numerical simulations. We find power law scaling in the current-voltage curves for arrays containing no voids, while for void-filled arrays charge bottlenecks…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. Reichhardt , C. J. Olson Reichhardt

We provide the first observation of weak localization in high carrier density two-dimensional electron gas in AlInN/GaN heterostructures; at low temperatures and low fields the conductivity increases with increasing magnetic field. Weak…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Leizhi Wang , Ming Yin , Asif Khan , Sakib Muhtadi , Fatima Asif , Eun Sang Choi , Timir Datta

Motivated by recent developments in measurements of electron spin resonances of individual atoms and molecules with the scanning tunneling microscope (ESR-STM), we study electron transport through an impurity under periodic driving as a…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 Jose Reina-Gálvez , Christoph Wolf , Nicolás Lorente

Strongly correlated metals often display anomalous transport, including $T$-linear resistivity above the Mott-Ioffe-Regel limit. We introduce a tractable microscopic model for such bad metals, by supplementing the well-known Hubbard model…

Strongly Correlated Electrons · Physics 2019-05-15 Connie H. Mousatov , Ilya Esterlis , Sean A. Hartnoll

Amorphous solids are dynamically inhomogeneous due to in lack of translational symmetry and hence exhibit vibrational properties different from crystalline solids with anomalous low frequency vibrational density of states (VDOS) and related…

Soft Condensed Matter · Physics 2025-08-01 Cunyuan Jiang

Suppression of electron current $ \Delta I$ through a 1D channel of length $L$ connecting two Fermi liquid reservoirs is studied taking into account the Umklapp electron-electron interaction induced by a periodic potential. This interaction…

Strongly Correlated Electrons · Physics 2009-10-30 Vadim Ponomarenko , Naoto Nagaosa

We have studied the quantum transport in a narrow constriction acted upon by a finite-range longitudinally polarized time-dependent electric field. The electric field induces coherent inelastic scatterings which involve both intra-subband…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. S. Tang , C. S. Chu

We present here a simple qualitative model that interpolates between the high and low temperature properties of quasi-1D conductors. At high temperatures we argue that transport is governed by inelastic scattering whereas at low…

Disordered Systems and Neural Networks · Physics 2009-10-30 Ivar Martin , Philip Phillips