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We study Tomonaga-Luttinger liquids thrown out of equilibrium by marginal deformations in the form of interaction modulations. This is modeled by quenching or periodically driving the Luttinger parameter or, equivalently, the…

Statistical Mechanics · Physics 2023-05-15 Shouvik Datta , Bastien Lapierre , Per Moosavi , Apoorv Tiwari

The linear and nonlinear transport properties of the single-electron transistor at the degeneracy point are investigated for the case of weak single-mode tunnel junctions. Two opposing scenarios are considered, distinguished by whether or…

Strongly Correlated Electrons · Physics 2007-05-23 Amnon Buxboim , Avraham Schiller

To explore superfluidity in flat-band systems, we consider a Bose-Hubbard model on a cross-linked ladder with $\pi$ flux, which has a flat band with a gap between the other band for noninteracting particles, where we study the effect of the…

Strongly Correlated Electrons · Physics 2013-12-10 Shintaro Takayoshi , Hosho Katsura , Noriaki Watanabe , Hideo Aoki

We study the dynamics resulting out of an abrupt change of the two-particle interaction in two models of closed one-dimensional Fermi systems: (a) the field theoretical Tomonaga-Luttinger model and (b) a microscopic lattice model. Using a…

Strongly Correlated Electrons · Physics 2013-10-23 D. M. Kennes , V. Meden

We study the out-of-equilibrium transport in a Tomonaga-Luttinger liquid containing a weak or a tunneling barrier coupled to an arbitrary electromagnetic environment. This applies as well to a coherent one-channel non-interacting conductor…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 J. -R. Souquet , I. Safi , P. Simon

A theory describing a one-dimensional Luttinger liquid in contact with superconductor is developed. Boundary conditions for the fermion fields describing Andreev reflection at the contacts are derived and used to construct a bosonic…

Condensed Matter · Physics 2016-08-31 Dmitrii L. Maslov , Michael Stone , Paul M. Goldbart , Daniel Loss

Motivated by recent experiments with proximitized nanowires, we study a mesoscopic s-wave superconductor connected via point contacts to normal-state leads. We demonstrate that at energies below the charging energy the system is described…

Mesoscale and Nanoscale Physics · Physics 2017-12-15 M. Pustilnik , B. van Heck , R. M. Lutchyn , L. I. Glazman

We study the effect that resistive regions have on the conductance of a quantum wire with interacting electrons which is connected to Fermi liquid leads. Using the bosonization formalism and a Rayleigh dissipation function to model the…

Mesoscale and Nanoscale Physics · Physics 2011-03-17 Abhiram Soori , Diptiman Sen

In a recent work [Phys. Rev. Lett. {\bf 108}, 136401 (2012)] we have addressed the problem of a Luttinger liquid with a scatterer that allows for both coherent and incoherent scattering channels. We have found that the physics associated…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 Alexander Altland , Yuval Gefen , Bernd Rosenow

We study cold atomic gases with a contact interaction and confined into one-dimension. Crossing the confinement induced resonance the correlation between the bosons increases, and introduces an effective range for the interaction potential.…

Quantum Gases · Physics 2015-05-20 Hans Peter Büchler

We study multiterminal Majorana and conventional superconducting islands in the vicinity of the charge degeneracy point using bosonization and numerical renormalization group. Both models map to the multichannel charge Kondo problem, but…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Michał Papaj , Zheng Zhu , Liang Fu

We consider the superconducting proximity effect in a helical Luttinger liquid at the edge of a 2D topological insulator, and derive the low-energy Hamiltonian for an edge state tunnel-coupled to a s-wave superconductor. In addition to…

Mesoscale and Nanoscale Physics · Physics 2012-01-23 Pauli Virtanen , Patrik Recher

We consider a ring of three quantum dots mutually coupled by antiferromagnetic exchange interactions, and tunnel-coupled to two metallic leads: the simplest device in which the consequences of local frustration arising from internal degrees…

Strongly Correlated Electrons · Physics 2010-03-10 Andrew K. Mitchell , David E. Logan

Single atom junctions between superconducting niobium leads are produced using the Mechanically Controllable Break Junction technique. The current-voltage characteristics of these junctions are analysed using an exact formulation for a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. Ludoph , N. van der Post , E. N. Bratus' , E. V. Bezuglyi , V. S. Shumeiko , G. Wendin , J. M. van Ruitenbeek

Applying the Fermi-Bose equivalence and the boundary state formulation, we study the hetero-junction of two quantum wires. Two quantum wires are described by Tomonaga-Luttinger (TL) liquids with different TL parameters and electrons…

Strongly Correlated Electrons · Physics 2016-09-21 Taejin Lee

We study correlated two-level quantum dots, coupled in effective 1-channel fashion to metallic leads; with electron interactions including on-level and inter-level Coulomb repulsions, as well as the inter-orbital Hund's rule exchange…

Strongly Correlated Electrons · Physics 2009-10-05 David E. Logan , Christopher J. Wright , Martin R. Galpin

The paper addresses the problem whether and how it is possible to detect the Luttinger-liquid behavior from the $IV$ curves for tunneling to 1D or quasi-1D conductors. The power-law non-ohmic $IV$ curve, which is usually considered as a…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 E. B. Sonin

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 develop an operator-based approach to the problem of Luttinger liquid conductor in a non-equilibrium stationary state. We show that the coherent-state many-body fermionic density matrix as well as all fermionic correlation functions out…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 I. V. Protopopov , D. B. Gutman , A. D. Mirlin

We investigate the low-energy properties of (quasi) helical and fractional helical Luttinger liquids. In particular, we calculate the Drude peak of the optical conductivity, the density of states, as well as charge transport properties of…

Mesoscale and Nanoscale Physics · Physics 2014-01-24 Tobias Meng , Lars Fritz , Dirk Schuricht , Daniel Loss
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