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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

Tunnelling impurities in metals have been known for some time to have the potential for exhibiting Kondo-like physics. However previous models based on an impurity hopping between two equivalent positions have run into trouble due to the…

Condensed Matter · Physics 2009-10-28 Aris L. Moustakas , Daniel S. Fisher

As voltage decreases d.c. condctivity of a Tomonaga-Luttinger liquid wire collapses to a small value determined by the length of the wire and its contacts with the leads. In condition that voltage drop (V) mostly occurs across a tunnel…

Strongly Correlated Electrons · Physics 2008-02-03 V. V. Ponomarenko

We investigate the quantum phases of hard-core bosonic atoms in an extended Hubbard model where particles interact via soft-shoulder potentials in one dimension. Using a combination of field-theoretical methods and strong-coupling…

Quantum Gases · Physics 2015-07-08 M. Dalmonte , W. Lechner , Zi Cai , M. Mattioli , A. M. Läuchli , G. Pupillo

The bosonization of the $S=1/2$ anisotropic two-channel Kondo model is shown to yield two equivalent representations of the original problem. In a straight forward extension of the Emery-Kivelson approach, the interacting resonant level…

Condensed Matter · Physics 2009-10-28 A. J. Schofield

We analyze charge-$e/4$ quasiparticle tunneling between the edges of a point contact in a non-Abelian model of the $\nu=5/2$ quantum Hall state. We map this problem to resonant tunneling between attractive Luttinger liquids and use the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Adrian Feiguin , Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

We study the local density of states (LDOS) in systems of Luttinger-liquid nanowires connected to a common mesoscopic superconducting island, in which Majorana bound states give rise to different types of topological Kondo effects. We show…

Mesoscale and Nanoscale Physics · Physics 2014-12-12 Erik Eriksson , Andrea Nava , Christophe Mora , Reinhold Egger

Tunnelling conductances observed for mesoscopic Kondo systems exhibit a zero-bias peak and two coherent side peaks. The former peak is usually understood as a Kondo effect and the latter side peak is recently clarified as the effect of…

Mesoscale and Nanoscale Physics · Physics 2014-01-30 Jongbae Hong , S. G. Chung

Tunneling through a localized barrier in a one-dimensional interacting electron gas has been studied recently using Luttinger liquid techniques. Stable phases with zero or unit transmission occur, as well as critical points with universal…

Condensed Matter · Physics 2009-10-22 Eugene Wong , Ian Affleck

When the ground state of a localized ion is a non-Kramers doublet, such localized ions may carry multipolar moments. For example, Pr$^{3+}$ ions in a cubic environment would possess quadrupolar and octupolar, but no magnetic dipole,…

Strongly Correlated Electrons · Physics 2020-10-30 Adarsh S. Patri , Yong Baek Kim

We study a lattice realization of a Luttinger liquid interacting with a bath of quantum spins in terms of an antiferromagnetic S=1/2 Heisenberg chain, where each spin is also coupled to a \sigma=1/2 Kondo spin degree of freedom. This model…

Strongly Correlated Electrons · Physics 2007-09-12 F. H. L. Essler , T. Kuzmenko , I. A. Zaliznyak

We formulate and prove an exact relation which expresses the moments of the two-point conductance for an open disordered electron system in terms of certain density correlators of the corresponding closed system. As an application of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Rochus Klesse , Martin R. Zirnbauer

The effective spin Hamiltonian of a triple quantum dot with odd electron occupation weakly connected in series with left ($l$) and right ($r$) metal leads is composed of two-channel exchange and co-tunneling terms. Renormalization group…

Strongly Correlated Electrons · Physics 2007-05-23 T. Kuzmenko , K. Kikoin , Y. Avishai

The non linear charge transfer through a tunnel junction between two Luttinger systems is studied for repulsive, finite range interaction between electrons on the same, V_{11}, and on different,V_{12}, sides of the junction. Features of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Maura Sassetti , Bernhard Kramer

We present exact results on the non-equilibrium current fluctuations for 2 quantum dots in series throughout a crossover from non-Fermi liquid to Fermi liquid behavior described by the 2 impurity Kondo model. The result corresponds to…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Eran Sela , Ian Affleck

We show that an Anderson Hamiltonian describing a quantum dot connected to multiple leads is integrable. A general expression for the non-linear conductance is obtained by combining the Bethe ansatz exact solution with Landauer-B\"uttiker…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sam Young Cho , Huan-Qiang Zhou , Ross H. McKenzie

We calculate the counting statistics of electron transfer through an open quantum dot with charging interaction. A dot that is connected to leads by two single-channel quantum point contacts in an in-plane magnetic field is described by a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Markus Kindermann , Bjoern Trauzettel

We study systems of coupled spin-gapped and gapless Luttinger liquids. First, we establish the existence of a sliding Luttinger liquid phase for a system of weakly coupled parallel quantum wires, with and without disorder. It is shown that…

Strongly Correlated Electrons · Physics 2009-11-07 Ranjan Mukhopadhyay , C. L. Kane , T. C. Lubensky

We investigate the $T=0$ phase diagram of a variant of the one-dimensional extended Hubbard model where particles interact via a finite-range soft-shoulder potential. Using Density Matrix Renormalization Group (DMRG) simulations, we…

Strongly Correlated Electrons · Physics 2020-07-10 Thomas Botzung , Guido Pupillo , Pascal Simon , Roberta Citro , Elisa Ercolessi

Tunneling conductance through two quantum dots, which are connected in series to left and right leads, is calculated by using the numerical renormalization group method. As the hopping between the dots increases from very small value, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Wataru Izumida , Osamu Sakai