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Density oscillations of confined one-dimensional Fermi gases of contact repulsive interactions in a continuous space are discussed within Bethe-ansatz-based spin-density-functional theory. The results are compared against the exact…

强关联电子 · 物理学 2012-12-27 Gao Xianlong

We report the exact calculation of the Fermi-edge singularity exponent for correlated electrons in one dimension (Luttinger liquid). Focusing on the special interaction parameter g=1/2, the asymptotic long-time behavior can be obtained…

强关联电子 · 物理学 2009-10-30 Andrei Komnik , Reinhold Egger , Alexander O. Gogolin

The interplay between long-range and local Coulomb repulsion in strongly interacting electron systems is explored through a two-dimensional Hubbard-Wigner model. An unconventional metallic state is found in which collective low-energy…

强关联电子 · 物理学 2009-10-23 S. Fratini , J. Merino

We consider the classical map proposed previously to be the exact classical analogue of Rydberg Molecules calculated with the approximations relevant to the multi-channel quantum defect theory. The resulting classical map is analyzed at…

混沌动力学 · 物理学 2009-10-31 F. Leyvraz , M. Lombardi , T. H. Seligman

One dimensional conductors are described by Luttinger liquid theory, which predicts a power-law suppression of the density of states near the Fermi level. The scaling exponent is non-universal in the general case, but is predicted to be…

介观与纳米尺度物理 · 物理学 2025-12-03 Liam A. Cohen , Noah L. Samuelson , Taige Wang , Takashi Taniguchi , Kenji Watanabe , Michael P. Zaletel , Andrea F. Young

We present an extension of the Tomonaga-Luttinger model in which left and right-moving particles have different Fermi velocities. We derive expressions for one-particle Green's functions, momentum-distributions, density of states, charge…

强关联电子 · 物理学 2016-08-16 Victoria I. Fernández , Aníbal Iucci , Carlos M. Naón

The nonlinear Luttinger liquid phenomenology of one-dimensional correlated Fermi systems is an attempt to describe the effect of the band curvature beyond the Tomonaga-Luttinger liquid paradigm. It relies on the observation that the…

强关联电子 · 物理学 2019-10-10 L. Markhof , M. Pletyukhov , V. Meden

We consider an electron-phonon system in two and three dimensions on square, hexagonal and cubic lattices. The model is a modification of the standard Holstein model where the optical branch is appropriately curved in order to have a…

统计力学 · 物理学 2009-10-31 N. Macris , C. -A. Piguet

Using Path Integral Monte Carlo we have calculated exchange frequencies as electrons undergo ring exchanges in a ``clean'' 2d Wigner crystal as a function of density. The results show agreement with WKB calculations at very low density, but…

强关联电子 · 物理学 2009-10-31 B. Bernu , Ladir Candido , D. M. Ceperley

For many years, the Luttinger liquid theory has served as a useful paradigm for the description of one-dimensional (1D) quantum fluids in the limit of low energies. This theory is based on a linearization of the dispersion relation of the…

强关联电子 · 物理学 2012-09-18 Adilet Imambekov , Thomas L. Schmidt , Leonid I. Glazman

We obtain the phase diagram of the double-exchange model at low electronic densities in the presence of electron-electron interactions. The single particle problem and its extension to low electronic densities, when a Wigner crystal of…

强关联电子 · 物理学 2007-05-23 Vitor M. Pereira , J. M. B. Lopes dos Santos , A. H. Castro Neto

In the first part of the article, we study one-dimensional noninteracting fermions in the continuum and in the presence of the repulsive inverse power law potential, with an emphasis on the Wigner function in the semiclassical limit. In…

统计力学 · 物理学 2024-04-12 Gabriel Gouraud

We study theoretically the luminescence from quantum dots of a ring geometry. For high excitation intensities, photoexcited electrons and holes form Fermi seas. Close to the emission threshold, the single-particle spectral lines aquire weak…

凝聚态物理 · 物理学 2009-11-07 T. V. Shahbazyan , I. E. Perakis , M. E. Raikh

Quantum dots with conduction electrons or holes originating from several bands are considered. We assume the particles are confined in a harmonic potential and assume the electrons (or holes) belonging to different bands to be different…

介观与纳米尺度物理 · 物理学 2009-11-10 K. Karkkainen M. Koskinen , S. M. Reimann , M. Manninen

The physics of an electron solid, held on a cryogenic liquid surface by a pressing electric field, is examined in a low-density regime that has not been explored before. We consider the effect of the pressing field in distorting the surface…

介观与纳米尺度物理 · 物理学 2009-11-07 Masudul Haque , Indranil Paul , Sergey Pankov

The transport properties of an interacting one-dimensional quantum dot capacitively coupled to an atomic force microscope probe are investigated. The dot is described within a Luttinger liquid framework which captures both Friedel and…

介观与纳米尺度物理 · 物理学 2012-11-26 N. Traverso Ziani , F. Cavaliere , M. Sassetti

By means of studying the evolution equation for the Wigner distributions of quantum dissipative systems we derive the quantum corrections to the classical Liouville dynamics, taking into account the standard quantum friction model. The…

量子物理 · 物理学 2019-05-08 Gabriel G. Carlo , Leonardo Ermann , Alejandro M. F. Rivas

We consider a multichannel wire with a disordered region of length $L$ and a reflecting boundary. The reflection of a wave of frequency $\omega$ is described by the scattering matrix $\mathcal{S}(\omega)$, encoding the probability…

数学物理 · 物理学 2020-10-07 Aurélien Grabsch , Christophe Texier

A new variational method for studying the equilibrium states of an interacting particles system has been proposed. The statistical description of the system is realized by means of a density matrix. This method is used for description of…

综合物理 · 物理学 2014-12-19 Boris Bondarev

We show that the one-dimensional (1D) electron systems can also be described by Landau's phenomenological Fermi-liquid theory. Most of the known results derived from the Luttinger-liquid theory can be retrieved from the 1D Fermi-liquid…

强关联电子 · 物理学 2009-10-30 Yupeng Wang
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