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An expression for the transmission matrix based conductance is provided for the propagation of scalar waves in certain bifurcated discrete waveguides using the paradigm of a three-terminal Landauer-Buttiker junction. It is found that the…

Mesoscale and Nanoscale Physics · Physics 2018-08-09 Basant Lal Sharma

The Landauer transport formulation is generalized to the case of a dynamic scatterer with an arbitrary energy level structure, weakly coupled to a long ideal noninteracting wire. The two-terminal linear conductance of the device is…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Yoseph Imry , Ora Entin-Wohlman , Amnon Aharony

We study point contact tunneling between two leads of a Tomonaga-Luttinger liquid through two degenerate resonant levels in parallel. This is one of the simplest cases of a quantum junction problem where the Fermi statistics of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sumathi Rao , Diptiman Sen

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

We consider the Kondo effect in quantum dots coupled to Luttinger liquid leads, focussing on the case of repulsive interactions and spin SU(2) symmetry in the leads. We find that the system can flow to the 1-channel or 2-channel Kondo fixed…

Strongly Correlated Electrons · Physics 2007-05-23 Eugene H. Kim

We study transport properties of an arbitrarily shaped ultraclean graphene sheet, adiabatically connected to leads,composed by the same material. If the localized interactions do not destroy chiral symmetry, we show that the conductance is…

Mesoscale and Nanoscale Physics · Physics 2008-03-27 Daniel G. Barci , Luis E. Oxman

We study the linear conductance through a double-quantum-dot system consisting of an interacting dot in its Kondo regime and an effectively noninteracting dot, connected in parallel to metallic leads. Signatures in the zero-bias conductance…

Mesoscale and Nanoscale Physics · Physics 2008-10-13 Luis G. Dias da Silva , Kevin Ingersent , Nancy Sandler , Sergio Ulloa

The transport in a pure one-dimensional quantum wire is investigated for any range of interactions. First, the wire is connected to measuring leads. The transmission of an incident electron is found to be perfect, and the conductance is not…

Strongly Correlated Electrons · Physics 2009-10-30 Ines Safi

In this paper we propose an exactly soluble model in two-dimensional honeycomb lattice, from which two phases are found. One is the usual Chern/topological insulating state and the other is an interesting $Z_2$ fractionalized…

Strongly Correlated Electrons · Physics 2013-07-10 Yin Zhong , Yu-Feng Wang , Hong-Gang Luo

The dc conductance through a finite Hubbard chain of size N coupled to two noninteracting leads is studied at T = 0 in an electron-hole symmetric case. Assuming that the perturbation expansion in U is valid for small N (=1,2,3,...) owing to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Akira Oguri

Topological insulating states in two-dimensional (2D) materials are ideal systems to study different types of quantized response signals due to their in gap metallic states. Very recently, the quantum spin Hall (QSH) effect was discovered…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 Junwen Lai , Xiangyang Liu , Jie Zhan , Tianye Yu , Peitao Liu , Xing-Qiu Chen , Yan Sun

Within the Landauer transport formalism we demonstrate that conductance zeroes are possible in bipartite systems at half-filling when leads are contacted to different sublattice sites. In particular, we investigate the application of this…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 M. Nita , M. Tolea , D. C. Marinescu

We model the 2-probe conductance of a quantum point contact (QPC), in linear response. If the QPC is highly non-adiabatic or near to scatterers in the open reservoir regions, then the usual distinction between leads and reservoirs breaks…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. H. Barnett , M. Blaauboer , A. Mody , E. J. Heller

The Thouless conjecture states that the average conductance of a disordered metallic sample in the diffusive regime can be related to the sensitivity of the sample's spectrum to a change in the boundary conditions. Here we present results…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 D. Braun , E. Hofstetter , G. Montambaux , A. MacKinnon

We study thermal transport along the edge of a small chiral-spin-liquid device coupled to two Ising-chain reservoirs, a platform suitable for quantum-engineered systems. Adiabatically switching on the tunnel couplings to the reservoirs…

We consider a four-terminal setup of a two-dimensional topological insulator (quantum spin Hall insulator) with local tunneling between the upper and lower edges. The edge modes are modeled as helical Luttinger liquids and the…

Strongly Correlated Electrons · Physics 2011-08-30 Thomas L. Schmidt

The conductance of finite systems plays a central role in the scaling theory of localization (Abrahams et al, 1979). Usually it is defined by the Landauer-type formulas, which remain open the following questions: (a) exclusion of the…

Disordered Systems and Neural Networks · Physics 2015-06-04 I. M. Suslov

We present a stochastic formulation of the Keldysh theory to calculate the conductance of a finite Kitaev chain coupled to two electron reservoirs. We study the dependence of the conductance on the number of sites in the chain and find that…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Ruben Doornenbal , Georgios Skantzaris , Henk Stoof

We study electronic transport through a one-dimensional, finite-length quantum wire of correlated electrons (Luttinger liquid) coupled at arbitrary position via tunnel barriers to two semi-infinite, one-dimensional as well as stripe-like…

Strongly Correlated Electrons · Physics 2015-05-13 P. Wächter , V. Meden , K. Schönhammer

We study theoretically the two-dimensional topological electric state in a single band semiconductor with strong spin-orbit interactions under harmonic scalar electrostatic potentials. The electronic states described by the spin Landau…

Mesoscale and Nanoscale Physics · Physics 2013-09-25 Tetsuro Habe , Yasuhiro Asano