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For a non-superconducting system, the electronic tunneling current through an insulating barrier is calculated, including interaction effects. The exact Hamiltonian of the full system is projected onto the subspaces of the "left" and…

Mesoscale and Nanoscale Physics · Physics 2010-07-09 Kelly R. Patton

We consider the conductance of a one-dimensional wire interrupted by a double-barrier structure allowing for a resonant level. Using the electron-electron interaction strength as a small parameter, we are able to build a non-perturbative…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yu. V. Nazarov , L. I. Glazman

We analyze the time evolution of spin-polarized electron wave packets injected into the edge states of a two-dimensional topological insulator. In the presence of electron interactions, the system is described as a helical Luttinger liquid…

Mesoscale and Nanoscale Physics · Physics 2015-11-03 Alessio Calzona , Matteo Carrega , Giacomo Dolcetto , Maura Sassetti

We propose a three terminal spin polarized stm setup for probing the helical nature of the Luttinger liquid edge state that appears in the quantum spin Hall system. We show that the three-terminal tunneling conductance strongly depends on…

Mesoscale and Nanoscale Physics · Physics 2011-08-09 Sourin Das , Sumathi Rao

We provide analytic expressions for the Green's functions in position-frequency space as well as for the tunneling density of states of various Luttinger liquids at zero temperature: the standard spinless and spinful Luttinger liquids, the…

Mesoscale and Nanoscale Physics · Physics 2012-02-07 Bernd Braunecker , Cristina Bena , Pascal Simon

We calculate the conductances of a three-way junction of spinless Luttinger-liquid wires as functions of bias voltages applied to three independent Fermi-liquid reservoirs. In particular, we consider the setup that is characteristic of a…

Strongly Correlated Electrons · Physics 2017-05-03 D. N. Aristov , I. V. Gornyi , D. G. Polyakov , P. Wölfle

We study how electron-electron interactions renormalize tunneling into a Luttinger liquid beyond the lowest order of perturbation in the tunneling amplitude. We find that the conventional fixed point has a finite basin of attraction only in…

Strongly Correlated Electrons · Physics 2010-12-30 D. N. Aristov , A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii , D. G. Polyakov , P. Wölfle

We consider tunneling from the spin-polarized tip into the Luttinger liquid edge state of quantum spin Hall system. This problem arose in context of the spin and charge fractionalization of an injected electron. Renormalization of the dc…

Strongly Correlated Electrons · Physics 2017-03-21 D. N. Aristov , R. A. Niyazov

We study electron and spin transport in interacting quantum wires contacted by noninteracting leads. We theoretically model the wire and junctions as an inhomogeneous chain where the parameters at the junction change on the scale of the…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Denis Morath , Nicholas Sedlmayr , Jesko Sirker , Sebastian Eggert

We discuss the conductance of a Luttinger liquid interrupted by a quantum dot containing a single resonant level. Using bosonisation and re-fermionisation methods, we find a mapping to a Kondo-type problem which possesses a non-trivial…

Strongly Correlated Electrons · Physics 2009-11-07 A. Komnik , A. O. Gogolin

We consider a ring of strongly interacting electrons connected to two external leads by tunnel junctions. By studying the positions of conductance resonances as a function of gate voltage and magnetic flux the interaction parameter $g$ can…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Jari M. Kinaret , Mats Jonson , Robert I. Shekhter , Sebastian Eggert

We study transport through two Luttinger liquids (one-dimensional electrons interacting through a Coulomb repulsion in a metal) coupled together at {\it two} points. External voltage biases are incorporated through boundary conditions. We…

Strongly Correlated Electrons · Physics 2009-10-31 P. Durganandini , Sumathi Rao

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

A crossover theory connecting Altshuler-Aronov electron-electron interaction corrections and Luttinger liquid behavior in quasi-1D disordered conductors has been formulated. Based on an interacting non-linear sigma model, we compute the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christophe Mora , Reinhold Egger , Alexander Altland

We present a theoretical study of momentum-resolved tunneling between parallel two-dimensional conductors whose charge carriers have a (pseudo-)spin-1/2 degree of freedom that is strongly coupled to their linear orbital momentum. Specific…

Mesoscale and Nanoscale Physics · Physics 2013-12-12 L. Pratley , U. Zuelicke

Strongly correlated transport of interacting electrons through the one-dimensional tunnel contact is considered within the Luttinger liquid model of one-dimensional electrodes on arbitrary time scales $ t> \hbar /\Lambda_{g} $. Using…

Strongly Correlated Electrons · Physics 2022-07-20 Taras Hutak , Gleb Skorobagatko

The theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling…

Strongly Correlated Electrons · Physics 2020-06-01 DinhDuy Vu , Anibal Iucci , Sankar Das Sarma

We propose and analyze inter-edge tunneling in a quantum spin Hall corner junction as a means to probe the helical nature of the edge states. We show that electron-electron interactions in the one-dimensional helical edge states result in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chang-Yu Hou , Eun-Ah Kim , Claudio Chamon

We calculate the tunneling conductance spectra of a normal metal / insulator / triplet superconductor from the reflection amplitudes using the Blonder-Tinkham-Klapwijk (BTK) formula. For the triplet superconductor we assume one special…

Superconductivity · Physics 2009-11-07 N. Stefanakis

We study resonant tunneling in a Luttinger liquid with a double barrier enclosing a dot region. Within a microscopic model calculation the conductance G as a function of temperature T is determined over several decades. We identify…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. Meden , T. Enss , S. Andergassen , W. Metzner , K. Schoenhammer