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Related papers: Resonant Multi-Lead Point-Contact Tunneling

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We study the Kondo effect in two crossed Luttinger liquids, using Boundary Conformal Field Theory. We predict two types of critical behaviors: either a two-channel Kondo fixed point with a nonuniversal Wilson ratio, or a new theory with an…

Strongly Correlated Electrons · Physics 2009-10-31 Karyn Le Hur

We demonstrate the equivalence between two distinct Luttinger liquid impurity problems. The first concerns a one-dimensional topological superconductor coupled at one end to the ends of two single channel Luttinger liquids. The second…

Strongly Correlated Electrons · Physics 2020-02-25 C. L. Kane , D. Giuliano , I. Affleck

A general description of weak and strong tunneling fixed points is developed in the chiral-Luttinger-liquid model of quantum Hall edge states. Tunneling fixed points are a subset of `termination' fixed points, which describe boundary…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Joel E. Moore , Xiao-Gang Wen

We study junctions of single-channel spinless Luttinger liquids using bosonisation. We generalize earlier studies by allowing the junction to be superconducting and find new charge non-conserving low energy fixed points. We establish the…

Mesoscale and Nanoscale Physics · Physics 2009-03-11 Sourin Das , Sumathi Rao

We study a system of an impurity spin coupled to a junction of several Tomonaga-Luttinger liquids using a renormalization group scheme. For the decoupled S-matrix at the junction, there is a range of Kondo couplings which flow to a…

Strongly Correlated Electrons · Physics 2009-11-11 V. Ravi Chandra , Sumathi Rao , Diptiman Sen

We investigate a model of a single resonant level coupled to the edge of a quantum wire in the Luttinger liquid phase or to the middle of a chiral Luttinger liquid via both tunneling and a contact interaction. Utilizing the Yuval-Anderson…

Mesoscale and Nanoscale Physics · Physics 2011-01-20 Moshe Goldstein , Yuval Weiss , Richard Berkovits

The chiral Luttinger liquid model for the edge dynamics of a two-dimensional electron gas in a strong magnetic field is derived from coarse-graining and a lowest Landau level projection procedure at arbitrary filling factors $\nu<1$ --…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Roberto D'Agosta , Roberto Raimondi , Giovanni Vignale

Time-reversal invariant topological superconductors are characterized by the presence of Majorana Kramers pairs localized at defects. One of the transport signatures of Majorana Kramers pairs is the quantized differential conductance of…

Mesoscale and Nanoscale Physics · Physics 2016-09-01 Younghyun Kim , Dong E. Liu , Erikas Gaidamauskas , Jens Paaske , Karsten Flensberg , Roman M. Lutchyn

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

We study a steady state non-equilibrium transport between two interacting helical edge states of a two dimensional topological insulator, described by helical Luttinger liquids, through a quantum dot. For non-interacting dot the current is…

Strongly Correlated Electrons · Physics 2013-09-02 Sung-Po Chao , Salman A. Silotri , Chung-Hou Chung

We study tunneling through a resonant level connected to two dissipative bosonic baths: one is the resistive environment of the source and drain leads, while the second comes from coupling to potential fluctuations on a resistive gate. We…

Mesoscale and Nanoscale Physics · Physics 2014-08-22 Dong E. Liu , Huaixiu Zheng , Gleb Finkelstein , Harold U. Baranger

In this work, a quantum dot couples to two helical edge states of a 2D topological insulator through weak tunnelings is studied. We show that if the electron interactions on the edge states are repulsive, with Luttinger liquid parameter $ K…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 K. T. Law , C. Y. Seng , Patrick A. Lee , T. K. Ng

We find the nonlinear conductance of a dissipative resonant level in the nonequilibrium steady state near its quantum critical point. The system consists of a spin-polarized quantum dot connected to two resistive leads that provide ohmic…

Mesoscale and Nanoscale Physics · Physics 2022-03-15 Gu Zhang , E. Novais , Harold U. Baranger

The Lieb-Liniger model describes one-dimensional bosons interacting through a repulsive contact potential. In this work, we introduce an extended version of this model by replacing the contact potential with a decaying exponential. Using…

Strongly Correlated Electrons · Physics 2015-09-08 Julian Rincon , Martin Ganahl , Guifre Vidal

We prove an exact duality between the side-coupled and embedded geometries of a single level quantum dot attached to a quantum wire in a Luttinger liquid phase by a tunneling term and interactions. This is valid even in the presence of a…

Mesoscale and Nanoscale Physics · Physics 2011-01-20 Moshe Goldstein , Richard Berkovits

We study the influence of many-body interactions on the transport properties in a two-site charge Kondo circuit recently implemented in a hybrid metal-semiconductor double-quantum dot device [W. Pouse {\it et al.}, Nat. Phys. {\bf 19}, 492…

Mesoscale and Nanoscale Physics · Physics 2023-11-21 A. V. Parafilo , V. M. Kovalev , I. G. Savenko

Electron transport through a single-level quantum dot weakly coupled to Luttinger liquid leads is considered in the master equation approach. It is shown that for a weak or moderately strong interaction the differential conductance…

Strongly Correlated Electrons · Physics 2013-02-06 G. A. Skorobagatko , I. V. Krive

We investigate the effects of the electron-electron interactions on the quantum transport through a charge Kondo circuit. The setup consists of a quantum dot sandwiched between two leads by two nearly transparent single mode quantum point…

Mesoscale and Nanoscale Physics · Physics 2023-07-04 T. K. T. Nguyen , A. V. Parafilo , H. Q. Nguyen , M. N. Kiselev

We study resonant tunneling through quantum-dot systems in the presence of strong Coulomb repulsion and coupling to the metallic leads. Motivated by recent experiments we concentrate on (i) a single dot with two energy levels and (ii) a…

Condensed Matter · Physics 2009-10-28 T. Pohjola , J. König , M. M. Salomaa , J. Schmid , H. Schoeller , Gerd Schön

The Kondo effect in a Luttinger liquid is studied using the renormalization group method. By renormalizing the boson fields, scaling equations to the second order for an arbitrary Luttinger interaction are obtained. For the ferromagnetic…

Strongly Correlated Electrons · Physics 2009-11-07 Mun Dae Kim , Chul Koo Kim , Kyun Nahm , Chang-Mo Ryu