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We use the Hartree-Fock method to study an interacting one-dimensional electron system on a finite wire, partially depleted at the center by a smooth potential barrier. A uniform one-Tesla Zeeman field is applied throughout the system. We…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 Jiang Qian , Bertrand I. Halperin

We study the spectral density function of a two-dimensional electron liquid in a weak magnetic field, the filling factor $\nu\gg 1$. A hydrodynamic model for low-energy excitations of the liquid is developed. It is found that even at…

Condensed Matter · Physics 2016-08-31 I. L. Aleiner , H. U. Baranger , L. I. Glazman

We study the problem of resonant tunneling between a Fermi liquid and the edge of a $\nu=1/3$ fractional quantum Hall state. In the limit of weak coupling, the system is adequately described within the sequential tunneling approximation. At…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. L. Kane

We have measured the low temperature conductance of a one-dimensional island embedded in a single mode quantum wire. The quantum wire is fabricated using the cleaved edge overgrowth technique and the tunneling is through a single state of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. M. Auslaender , A. Yacoby , R. de Picciotto , K. W. Baldwin , L. N. Pfeiffer , K. W. West

We have calculated the tunneling density of states (DOS) at the location of a backward scattering defect for quantum wires and for edge state electrons in quantum Hall systems. A singular enhancement of the DOS arises as a result of the…

Condensed Matter · Physics 2009-10-28 Yuval Oreg , Alexander M. Finkel'stein

We study electron transfer between two separated nuclei using local control theory. By conditioning the algorithm in a symmetric system formed by two protons, one can favored slow transfer processes, where tunneling is the main mechanism,…

Quantum Physics · Physics 2018-04-18 Patricia Vindel-Zandbergen , Christoph Meier , Ignacio R. Sola

We consider interaction of an electron with a Bose condensate of atoms having electron affinity. Though states of the electron attached to atoms form a continuous band, tunneling through this band is strongly suppressed by quantum…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 V. M. Akulin , Yu. E. Lozzovik , I. E. Mazets , A. G. Rudavets , A. Sarfati

We study a system of one-dimensional electrons in the regime of strong repulsive interactions, where the spin exchange coupling J is small compared with the Fermi energy, and the conventional Tomonaga-Luttinger theory does not apply. We…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. A. Matveev , A Furusaki , L. I. Glazman

The conductance of a weakly interacting electron gas in the presense of a single scatterer is found at arbitrary strength of the scattering potential. At weak interaction, a simple renormalization group approach can be used instead of the…

Condensed Matter · Physics 2009-10-22 K. A. Matveev , Dongxiao Yue , L. I. Glazman

Split-gate constrictions can be used to produce controllable scattering in a fractional quantum Hall state and constitute a very versatile model system for the investigation of non-Fermi physics in edge states. Controllable inter-edge…

Mesoscale and Nanoscale Physics · Physics 2009-03-24 Stefano Roddaro , Vittorio Pellegrini , Fabio Beltram

We examine the possibility of creating the Moore-Read Pfaffian in the lowest Landau level when the multicomponent Halperin 331 state (believed to describe quantum Hall bilayers and wide quantum wells at the filling factor $\nu=1/2$) is…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Z. Papic , M. O. Goerbig , N. Regnault , M. V. Milovanovic

The local density of states of a degenerate semiconductor is investigated at low magnetic fields. In order to realize this experiment, we designed a strongly asymmetric double-barrier heterostructure with heavily doped contacts and study…

Condensed Matter · Physics 2009-10-28 T. Schmidt , R. J. Haug , V. I. Fal'ko , K. v. Klitzing , A. Foerster , H. Lueth

The existence of long-lived non-equilibrium states without showing thermalization, which has previously been demonstrated in time evolution of ultracold atoms, suggests the possibility of their spatial analogue in transport behavior of…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 K. Washio , R. Nakazawa , M. Hashisaka , K. Muraki , Y. Tokura , T. Fujisawa

We present a non-hermitian Hamiltonian which can be employed to explain a condensed matter system with effectively massless and zero energy states. We analyze the 2D tunneling problem and derive the transmission and reflection coefficients…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 Muhammad Adeel Ajaib

An electron is usually considered to have only one form of kinetic energy, but could it have more, for its spin and charge, by exciting other electrons? In one dimension (1D), the physics of interacting electrons is captured well at low…

In this talk I present a summary of recent work on tunnel junctions of a fractional quantum Hall fluid and an electron reservoir, a Fermi liquid. I consider first the case of a single point contact. This is a an exactly solvable problem…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eduardo Fradkin

A single static magnetic impurity in a fully-gapped superconductor leads to formation of an intragap quasiparticle bound state. At temperatures much below the superconducting transition, the energy relaxation and spin dephasing of the state…

Strongly Correlated Electrons · Physics 2014-10-01 Ivar Martin , Dmitry Mozyrsky

In this paper we show an approach to electron transport in double barrier structures which unifies the well known sequential and resonant tunneling models in the widest range of transport regimes, from completely coherent to completely…

Condensed Matter · Physics 2009-10-28 Giuseppe Iannaccone , Bruno Pellegrini

There is growing experimental and theoretical evidence that very clean two dimensional electron systems form unidirectional charge density waves (UCDW) or ``striped'' states at low temperatures and at Landau level filling fractions of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Anna Lopatnikova , Steven H. Simon , Bertrand I. Halperin , Xiao-Gang Wen

One-dimensional wires with Rashba spin-orbit coupling, magnetic field, and strong electron-electron interactions are described by a spiral Luttinger liquid model. We develop a theory to investigate the tunneling density of states into a…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Dong E. Liu , Alex Levchenko