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I summarize recent work on non-Fermi liquids within certain generalized Anderson impurity model as well as in the large dimensionality ($D$) limit of the two-band extended Hubbard model. The competition between local charge and spin…

Condensed Matter · Physics 2009-10-28 Qimiao Si

We study a half filled ladder of spinless fermions. We show that contrarily to a single chain, the ladder becomes a Mott insulator for arbitrarily small repulsive interactions. We obtain the full phase diagram and physical quantities such…

Strongly Correlated Electrons · Physics 2009-10-31 P. Donohue , M. Tsuchiizu , T. Giamarchi , Y. Suzumura

We study scattering of charge and spin excitations in a system of interacting electrons in one dimension. At low densities electrons form a one-dimensional Wigner crystal. To first approximation the charge excitations are the phonons in the…

Mesoscale and Nanoscale Physics · Physics 2014-08-08 K. A. Matveev , A. V. Andreev , A. D. Klironomos

Electrons in one-dimension display the unusual property of separating their spin and charge into two independent entities: The first, which derive from uncharged spin-1/2 electrons, can travel at different velocities when compared with the…

Strongly Correlated Electrons · Physics 2012-09-26 Daniel Vieira

We consider interacting one-dimensional, spinless Fermi gases, whose low-energy properties are described by Luttinger liquid theory. We perform a systematic, in-depth analysis of the relation between the macroscopic, phenomenological…

Quantum Gases · Physics 2015-05-15 Manuel Valiente , Lawrence G. Phillips , Nikolaj T. Zinner , Patrik Ohberg

We study the temperature dependence of the electrical resistivity of interacting two-dimensional metallic systems. We perform a numerical simulation of the nonequilibrium state based on semiclassical Boltzmann transport theory. Through our…

Strongly Correlated Electrons · Physics 2013-12-24 Jonathan M. Buhmann

A mixture of spin-1/2 fermionic atoms and molecules of paired fermionic atoms is studied in an optical lattice. The molecules are formed by an attractive nearest-neighbor interaction. A functional integral is constructed for this many-body…

Other Condensed Matter · Physics 2017-08-23 O. Fialko , K. Ziegler

A mechanism for ferrimagnetism in (1+1)-dimensions is discussed. The ferrimagnetism is cased by interactions described by operators with non-zero conformal spin. Such interactions appear in such problems as the problem of tunneling between…

Strongly Correlated Electrons · Physics 2016-08-31 Alexei M. Tsvelik

A model with a singular forward scattering amplitude for particles with opposite spins in d spatial dimensions is proposed and solved by using the bosonization transformation. This interacting potential leads to the spin-charge separation.…

Condensed Matter · Physics 2009-10-28 Krzysztof Byczuk , Jozef Spalek

Plasmons in two-dimensional electron systems with nonparabolic bands, such as graphene, feature strong dependence on electron-electron interactions. We use a many-body approach to relate plasmon dispersion at long wavelengths to Landau…

Mesoscale and Nanoscale Physics · Physics 2013-12-19 L. S. Levitov , A. V. Shtyk , M. V. Feigelman

Recent ARPES experiments in cuprates superconductors show a kink in the electron dispersion near the Fermi energy. This kink coexists with a linear frequency dependence of the imaginary part of the electron self-energy. In this paper we…

Strongly Correlated Electrons · Physics 2015-06-24 A. Greco , A. Dobry

As is well known, one-dimensional systems with interactions restricted to first nearest neighbors admit a full analytically exact statistical-mechanical solution. This is essentially due to the fact that the knowledge of the first…

Soft Condensed Matter · Physics 2017-11-20 Riccardo Fantoni , Andrés Santos

We study a one-dimensional model of interacting conduction electrons with a two-fold degenerate band away from half filling. The interaction includes an on-site Coulomb repulsion and Hund's rule coupling. We show that such one-dimensional…

Condensed Matter · Physics 2009-10-28 D. G. Shelton , A. M. Tsvelik

We study momentum-resolved tunneling into a system of spinless chiral one-dimensional fermions, such as electrons at the edge of an integer quantum Hall system. Interactions between particles give rise to broadening of the spectral function…

Strongly Correlated Electrons · Physics 2022-04-29 K. A. Matveev

Recent experiments have introduced a new concept for analyzing the photoemission spectra of correlated electrons -- the remnant Fermi surface (rFs), which can be measured even in systems which lack a conventional Fermi surface. Here, we…

Superconductivity · Physics 2009-10-31 C. Kusko , R. S. Markiewicz

On several one-dimensional (1D) and 2D nonbipartite lattices, we study both free and Hubbard interacting lattice fermions when some magnetic fluxes are threaded or gauge fields coupled. First, we focus on finding out the optimal flux which…

Strongly Correlated Electrons · Physics 2020-07-28 Wayne Zheng

We address the problem of transmission of electrons between two noninteracting leads through a region where they interact (quantum dot). We use a model of spinless electrons hopping on a one-dimensional lattice and with an interaction on a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Abhishek Dhar , Diptiman Sen , Dibyendu Roy

We propose two new methods to calculate exactly the spectrum of two spin-${1\over 2}$ charge carriers moving in a ferromagnetic background, at zero temperature. We find that if the spins are located on a different sublattice than that on…

Strongly Correlated Electrons · Physics 2015-06-11 Mirko Moeller , George A. Sawatzky , Mona Berciu

The momentum, fermionic density, spin density, and interaction dependencies of the exponents that control the (momentum-energy)-plane singular features of the one-fermion spectral functions of a one-dimensional gas of spin-1/2 fermions with…

Strongly Correlated Electrons · Physics 2019-05-01 T. Cadez , S. Nemati , J. M. P. Carmelo

A translation invariant one-dimensional system of spinless fermions with a finite-range attraction experiences a quantum phase transition to a phase-separated state. While being a conventional Luttinger liquid for a small interaction…

Quantum Gases · Physics 2018-12-12 Vera V. Vyborova , Oleg Lychkovskiy , Alexey N. Rubtsov