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We study the problem of resonant tunneling through a quantum dot in a spinful Luttinger liquid. For a range of repulsive interactions, we find that for symmetric barriers there exist resonances with a universal peak conductance $2g^* e^2/h$…

Mesoscale and Nanoscale Physics · Physics 2016-08-30 Yichen Hu , C. L. Kane

We study a Luttinger Liquid (LL) coupled to a generic environment consisting of bosonic modes with arbitrary density-density and current-current interactions. The LL can be either in the conducting phase and perturbed by a weak scatterer or…

Strongly Correlated Electrons · Physics 2014-09-10 Igor V. Yurkevich , Oleg M. Yevtushenko

We consider a weakly interacting finite wire with short and long range interactions. The long range interactions enhance the $4k_{F}$ scattering and renormalize the wire to a strongly interacting limit. For large screening lengths, the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 D. Schmeltzer , A. Kuklov , M. Malard

We study tunneling between two nearby cleaved edge quantum wires in a perpendicular magnetic field. Due to Coulomb forces between electrons, the wires form a strongly-interacting pair of Luttinger liquids. We calculate the low-temperature…

Strongly Correlated Electrons · Physics 2009-11-07 D. Carpentier , C. Peca , L. Balents

We address the problem of a Luttinger liquid with a scatterer that allows for both coherent and incoherent scattering channels. The asymptotic behavior at zero temperature is governed by a new stable fixed point: a Goldstone mode dominates…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Alexander Altland , Yuval Gefen , Bernd Rosenow

We present results on the Anderson localization in a quasi one-dimensional metallic wire in the presence of magnetic impurities. We focus within the same numerical analysis on both the universal localized and metallic regimes, and we study…

Disordered Systems and Neural Networks · Physics 2009-10-23 Guillame Paulin , David Carpentier

Entanglement in J_1-J_2, S=1/2 quantum spin chains with an impurity is studied using analytic methods as well as large scale numerical density matrix renormalization group methods. The entanglement is investigated in terms of the von…

Strongly Correlated Electrons · Physics 2011-11-09 Erik S. Sørensen , Ming-Shyang Chang , Nicolas Laflorencie , Ian Affleck

Luttinger liquid theory describes one-dimensional electron systems in terms of non-interacting bosonic excitations. In this approximation thermal excitations are decoupled from the current flowing through a quantum wire, and the conductance…

Mesoscale and Nanoscale Physics · Physics 2011-09-01 K. A. Matveev , A. V. Andreev

The single channel Anderson impurity model is a standard model for the description of magnetic impurities in metallic systems. Usually, the bandwidth represents the largest energy scale of the problem. In this paper, we analyze the limit of…

Strongly Correlated Electrons · Physics 2009-10-31 W. Hofstetter , S. Kehrein

Using derived previously effective theory we explore conductance in the Luttinger model with one impurity. A new approach to the renormalization group (RG) analysis of this model is developed. It is based on the original Gell-Mann-Low…

Strongly Correlated Electrons · Physics 2019-09-23 V. Afonin , V. Petrov

The inhomogeneous Tomonaga Luttinger liquid model describing an interacting quantum wire adiabatically coupled to non-interacting leads is analyzed in the presence of a weak impurity within the wire. Due to strong electronic correlations in…

Strongly Correlated Electrons · Physics 2007-05-23 Fabrizio Dolcini , Bjoern Trauzettel , Ines Safi , Hermann Grabert

We study 't Hooft anomalies of discrete groups in the framework of (1+1)-dimensional multiscale entanglement renormalization ansatz states on the lattice. Using matrix product operators, general topological restrictions on conformal data…

Quantum Physics · Physics 2017-09-07 Jacob C. Bridgeman , Dominic J. Williamson

The continuous multi-scale entanglement renormalization ansatz (cMERA) is a variational class of states for quantum fields. As originally formulated, the cMERA applies to infinite systems only. In this paper we generalize the cMERA…

Quantum Physics · Physics 2021-02-09 Ling-Yan Hung , Guifre Vidal

A quantum Monte Carlo simulation method has been developed and applied to study the critical behavior of a single Kondo impurity in a Luttinger liquid. This numerically exact method has no finite-size limitations and allows to simulate the…

Strongly Correlated Electrons · Physics 2009-10-30 Reinhold Egger , Andrei Komnik

Luttinger liquid behavior of one-dimensional correlated electron systems is characterized by power-law scaling of a variety of physical observables with exponents determined by a single interaction dependent parameter K. We suggest a setup…

Strongly Correlated Electrons · Physics 2007-10-23 P. Waechter , V. Meden , K. Schoenhammer

We study the transport properties of a quantum wire, described by the Tomonaga-Luttinger model, in the presence of a backscattering potential provided by several extended time-dependent impurities (barriers). Employing the B\"…

Strongly Correlated Electrons · Physics 2010-07-08 D. Makogon , V. Juricic , C. Morais Smith

We analyze the one-dimensional extended Hubbard model with a single static impurity by using a computational technique based on the functional renormalization group. This extends previous work for spinless fermions to spin-1/2 fermions. The…

Strongly Correlated Electrons · Physics 2007-05-23 S. Andergassen , T. Enss , V. Meden , W. Metzner , U. Schollwoeck , K. Schoenhammer

Conductance is related to dynamical correlation functions which can be calculated with \textit{time-dependent} methods. Using boundary conformal field theory, we relate the conductance tensors of quantum junctions of multiple wires to…

Mesoscale and Nanoscale Physics · Physics 2010-11-25 Armin Rahmani , Chang-Yu Hou , Adrian Feiguin , Claudio Chamon , Ian Affleck

We propose a new class of tensor network state as a model for the AdS/CFT correspondence and holography. This class is demonstrated to retain key features of the multi-scale entanglement renormalization ansatz (MERA), in that they describe…

Quantum Physics · Physics 2017-10-18 Glen Evenbly

The differential cross section for resonant Raman scattering from the collective modes in a one dimensional system of interacting electrons is calculated non-perturbatively using the bosonization method. The results indicate that resonant…

Strongly Correlated Electrons · Physics 2009-10-31 B. Kramer , M. Sassetti