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We investigate the rectification of an ac bias in Luttinger liquids in the presence of an asymmetric potential (the ratchet effect). We show that strong repulsive electron interaction enhances the ratchet current in comparison with Fermi…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. E. Feldman , S. Scheidl , V. M. Vinokur

The Luttinger liquid in which the concentration of electrons varies randomly with coordinate is considered. We study the fluctuations of the tunnel conductance, caused by the randomness in the concentration. If the concentration changes…

Condensed Matter · Physics 2009-10-28 A. Gramada , M. E. Raikh

We study the low-temperature properties of a spin-\onehalf\ magnetic impurity coupled to a one-dimensional interacting electron system. Using the newly developed formalism by Affleck and Ludwig, with a scale invariant boundary condition…

Condensed Matter · Physics 2009-10-28 Per Frojdh , Henrik Johannesson

We study the local states within the polariton bandgap that arise due to deep defect centers with strong electron-phonon coupling. Electron transitions involving deep levels may result in alteration of local elastic constants. In this case,…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. Foygel , Alexey Yamilov , Lev I. Deych , A. A. Lisyansky

We study the inverse scattering problem for electric potentials and magnetic fields in $\ere^d, d\geq 3$, that are asymptotic sums of homogeneous terms at infinity. The main result is that all these terms can be uniquely reconstructed from…

Mathematical Physics · Physics 2009-11-11 Ricardo Weder , Dimitri Yafaev

We address the problem of a Luttinger liquid with a scatterer that allows for both coherent and incoherent scattering channels. The asymptotic behavior at zero temperature is governed by a new stable fixed point: a Goldstone mode dominates…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Alexander Altland , Yuval Gefen , Bernd Rosenow

We examine the local density of states of an impurity level or a quantum dot coupled to a fractional quantum Hall edge, or to the end of a single one-dimensional Luttinger-liquid lead. Effects of an Ohmic dissipative bath are also taken…

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

We present a detailed numerical study of the electronic properties of single-layer graphene with resonant ("hydrogen") impurities and vacancies within a framework of noninteracting tight-binding model on a honeycomb lattice. The algorithms…

Mesoscale and Nanoscale Physics · Physics 2010-09-29 Shengjun Yuan , Hans De Raedt , Mikhail I. Katsnelson

A one-dimensional system of interacting electrons out of equilibrium is studied in the framework of the Luttinger liquid model. We analyze several setups and develop a theory of tunneling into such systems. A remarkable property of the…

Mesoscale and Nanoscale Physics · Physics 2009-03-22 D. B. Gutman , Yuval Gefen , A. D. Mirlin

In pseudo integrable systems diffractive scattering caused by wedges and impurities can be described within the framework of Geometric Theory of Diffraction (GDT) in a way similar to the one used in the Periodic Orbit Theory of Diffraction…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 G. Vattay , J. Cserti , G. Palla , G. Szálka

We study the current produced in a Tomonaga-Luttinger liquid by an applied bias and by weak, point-like impurity potentials which are oscillating in time. We use bosonization to perturbatively calculate the current up to second order in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Amit Agarwal , Diptiman Sen

Time-reversal symmetry suppresses electron backscattering in a quantum-spin-Hall edge, yielding quantized conductance at zero temperature. Understanding the dominant corrections in finite-temperature experiments remains an unsettled issue.…

Mesoscale and Nanoscale Physics · Physics 2018-09-11 Jukka I. Väyrynen , Dmitry I. Pikulin , Jason Alicea

We investigate the physics of a Tomonaga-Luttinger liquid of spin-polarized fermions superimposed on an ion chain. This compound system features (attractive) long-range interspecies interactions. By means of density matrix renormalization…

Quantum Gases · Physics 2020-01-23 Andreas Bock Michelsen , Manuel Valiente , Nikolaj Zinner , Antonio Negretti

We study the tunneling into the edge of the Luttinger liquid with periodically modulated concentration of electrons. It is shown that the modulation,by causing a gap in the spectrum of plasmons, leads to an additional anomaly in the density…

Condensed Matter · Physics 2009-10-28 A. Gramada , M. E. Raikh

The low-energy amplitude of Compton scattering on the bound state of two charged particles of arbitrary masses, charges and spins is calculated. A case in which the bound state exists due to electromagnetic interaction (QED) is considered.…

High Energy Physics - Phenomenology · Physics 2011-01-25 R. N. Lee , A. I. Milstein , M. Schumacher

Within a quasipotential framework a relativistic analysis is presented of the deuteron current. Assuming that the singularities from the nucleon propagators are important, a so-called equal time approximation of the current is constructed.…

Nuclear Theory · Physics 2008-11-26 E. Hummel , J. A. Tjon

We analyze the influence of an impurity in the movement of discrete breathers in Klein--Gordon chains. We observe that the moving breather can cross the impurity, can be reflected by it, or can be trapped originating a quasi-periodic…

Pattern Formation and Solitons · Physics 2009-11-07 J. Cuevas , F. Palmero , J. F. R. Archilla , F. R. Romero

We calculate the density of states for an interacting quantum wire in the presence two impurities of arbitrary potential strength. To perform this calculation, we describe the Coulomb interactions in the wire within the Tomonaga-Luttinger…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 R. Zamoum , M. Guigou , C. Bena , A. Crépieux

We study the problem of impurities and mid-gap states in a biased graphene bilayer. We show that the properties of the bound states, such as localization lengths and binding energies, can be controlled externally by an electric field…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Johan Nilsson , A. H. Castro Neto

Electron scattering in the monolayer graphene with short-range impurities modelled by the annular well with a band-asymmetric potential has been considered. Band-asymmetry of the potential resulted in the mass (gap) perturbation in the…

Mesoscale and Nanoscale Physics · Physics 2010-02-23 Natalie E. Firsova , Sergey A. Ktitorov