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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

We determine the ground-state energy and Tan's contact of attractively interacting few-fermion systems in a one-dimensional harmonic trap, for a range of couplings and particle numbers. Complementing those results, we show the corresponding…

Quantum Gases · Physics 2015-06-09 C. E. Berger , E. R. Anderson , J. E. Drut

The lattice fluid model of the system with short range and long range Coulomb interactions is suggested. In the framework of the collective variables method, the screening of the Coulomb interactions in the bulk is considered. It is shown…

Other Condensed Matter · Physics 2019-01-24 George Bokun , Dung di Caprio , Myroslav Holovko , Vyacheslav Vikhrenko

The two-dimensional carbon allotrope graphene has recently attracted a lot of attention from researchers in the disciplines of Lattice Field Theory, Lattice QCD and Monte Carlo calculations. This interest has been prompted by several…

High Energy Physics - Lattice · Physics 2011-11-04 Timo A. Lähde , Joaquín E. Drut

The lattice gas model for adsorption of alkaline elements on W(112) surface is studied by Monte Carlo simulations. The model includes dipole--dipole interaction as well as long-range indirect interaction. The numerical results show that…

Materials Science · Physics 2009-11-10 Cz. Oleksy

The quasi-2D electrons in graphene behave as massless fermions obeying a Dirac-Weyl equation in the low-energy regime near the two Fermi points. The stability of spin-polarized phases (SPP) in graphene is considered. The exchange energy is…

Strongly Correlated Electrons · Physics 2007-05-23 M. W. C. Dharma-wardana

Electrons most often organize into Fermi-liquid states in which electron-electron interactions play an inessential role. A well known exception is the case of one-dimensional (1D) electron systems (1DES). In 1D the electron Fermi-surface…

Strongly Correlated Electrons · Physics 2010-01-09 Fan Zhang , Hongki Min , Marco Polini , A. H. MacDonald

The tight-binding model is closely associated with the modified layer-based random-phase approximation to thoroughly investigate the electron-electron interactions in sliding bilayer graphene. The Coulomb interactions and intralayer and…

Mesoscale and Nanoscale Physics · Physics 2023-03-13 Chiun-Yan Lin , Ming-Fa Lin

In this work the Casimir{Polder interaction energy between a rubidium atom and a disordered graphene sheet is investigated beyond the Dirac cone approximation by means of accurate real-space calculations. As a model of defected graphene, we…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 T. P. Cysne , T. G. Rappoport , Aires Ferreira , J. V. Lopes , N. M. R. Peres

Fermions hopping on a hexagonal lattice represent one of the most active research field in condensed matter since the discovery of graphene in 2004 and its numerous applications. Another exciting aspect of the interplay between geometry and…

Strongly Correlated Electrons · Physics 2016-11-29 Sylvain Capponi

Equation of state and electric (isospin) charge fluctuations are studied for matter composed of interacting pions. The pion matter is described by self interacting scalar fields via a $\phi^4-\phi^6$ type Lagrangian. The mean-field…

High Energy Physics - Phenomenology · Physics 2021-06-16 O. S. Stashko , O. V. Savchuk , R. V. Poberezhnyuk , V. Vovchenko , M. I. Gorenstein

The Landau-Fermi liquid picture for quasiparticles assumes that charge carriers are dressed by many-body interactions, forming one of the fundamental theories of solids. Whether this picture still holds for a semimetal like graphene at the…

Motivated by the possibility of a strain tuning effect on electronic properties of graphene, the semimetal-Mott insulator transition process on the uniaxial honeycomb lattice is numerically studied using Determinant Quantum Monte Carlo. As…

Strongly Correlated Electrons · Physics 2021-09-24 Lufeng Zhang , Chi Ma , Tianxing Ma

We investigate magnetic and charge correlations in graphene by using the formulation of extended dynamical mean-field theory (E-DMFT) for two-sublattice systems. First, we map the average non-local interaction onto the effective static…

Strongly Correlated Electrons · Physics 2022-01-03 A. A. Katanin

We explore the transport properties of an interacting Fermi gas in a three-dimensional optical lattice. The center of mass dynamics of the atoms after a sudden displacement of the trap minimum is monitored for different interaction…

Strongly Correlated Electrons · Physics 2007-12-05 Niels Strohmaier , Yosuke Takasu , Kenneth Günter , Robert Jördens , Michael Köhl , Henning Moritz , Tilman Esslinger

The gap generation is studied in suspended clean graphene in the continuum model for quasiparticles with the Coulomb interaction. We solve the gap equation with the dynamical polarization function and show that, comparing to the case of the…

Strongly Correlated Electrons · Physics 2014-11-20 O. V. Gamayun , E. V. Gorbar , V. P. Gusynin

We analyse the interaction between charges and graphene layers. The electric polarisability of graphene induces a force, that can be described by an image charge. The analysis shows that graphene can be described as an imperfect conductor…

Mesoscale and Nanoscale Physics · Physics 2016-05-27 Francisco Guinea , Niels R. Walet

We investigate the transport properties of neutral, fermionic atoms passing through a one-dimensional quantum wire containing a mesoscopic lattice. The lattice is realized by projecting individually controlled, thin optical barriers on top…

The physics of graphene is acting as a bridge between quantum field theory and condensed matter physics due to the special quality of the graphene quasiparticles behaving as massless two dimensional Dirac fermions. Moreover, the particular…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. A. H. Vozmediano , M. I. Katsnelson , F. Guinea

A new mechanism that induces charge density variations in corrugated graphene is proposed. Here it is shown how the interplay between lattice deformations and exchange interactions can induce charge separation, i.e., puddles of electrons…

Mesoscale and Nanoscale Physics · Physics 2008-01-08 L. Brey , J. J. Palacios