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The experimental realization of time dependent ultracold lattice systems has paved the way towards the implementation of new Hubbard-like Hamiltonians. We show that in a one dimensional two components lattice dipolar Fermi gas the…

Quantum Gases · Physics 2017-12-08 S. Fazzini , A. Montorsi , M. Roncaglia , L. Barbiero

The ground states of the two-dimensional repulsive Hubbard model are studied within the unrestricted Hartree-Fock (UHF) theory. Magnetic and charge properties are determined by systematic, large-scale, exact numerical calculations, and…

Strongly Correlated Electrons · Physics 2013-09-20 Jie Xu , Chia-Chen Chang , Eric J. Walter , Shiwei Zhang

Using density functional theory in a time dependent approach we determine the frequencies of the compressional modes of the normal phase of a Fermi gas at unitarity as a function of its polarization. Our energy functional accounts for the…

Quantum Gases · Physics 2015-05-19 Alessio Recati , Sandro Stringari

A new expression for the Green's function of a finite one-dimensional lattice with nearest neighbor interaction is derived via discrete Fourier transform. Solution of the Heisenberg spin chain with periodic and open boundary conditions is…

Mathematical Physics · Physics 2015-05-13 S. Cojocaru

Electronic correlations in the ground state of an idealized infinite-layer high-Tc compound are computed using the ab-initio method of local ansatz. Comparisons are made with the local-density approximation (LDA) results, and the…

Superconductivity · Physics 2009-10-31 Gernot Stollhoff

Spectra of one-electron and collective excitations in narrow-band ferromagnets with unquenched orbital moments are calculated in various theoretical models. The interaction of spin and orbital excitations with conduction electrons results…

Strongly Correlated Electrons · Physics 2009-11-11 V. Yu. Irkhin , M. I. Katsnelson

It is shown that the renormalizability of the zero-range interaction in the two-dimensional space is always followed by the existence of a bound state, which is not true for odd-dimensional spaces. A renormalization procedure is defined and…

Quantum Physics · Physics 2009-11-07 Katarzyna Krajewska , Jerzy Z. Kaminski

We consider electronic systems with a spontaneously broken continuous symmetry. The scattering vertex between electrons and Goldstone modes is calculated over the entire Brillouin zone using the random phase approximation. This calculation…

Strongly Correlated Electrons · Physics 2024-01-08 Konstantinos Vasiliou , Yuchi He , Nick Bultinck

The self consistent version of the density functional theory is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems. An exact functional equation for the effective interaction, from…

Materials Science · Physics 2017-08-23 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

In the limit of infinite spatial dimensions a thermodynamically consistent theory of the strongly correlated electron systems, which is valid for arbitrary value of the Coulombic interaction ($U<\infty$), is built. For the Hubbard model the…

Strongly Correlated Electrons · Physics 2007-05-23 A. M. Shvaika

On the basis of spin and pairing fluctuation-exchange approximation, we study the superconductivity in quasi-two-dimensional Hubbard model. The integral equations for the Green's function are self-consistently solved by numerical…

Superconductivity · Physics 2009-10-23 Xin-Zhong Yan

Using the strong coupling diagram technique, we calculate the zero-temperature density of states $\rho$ of electrons on a square lattice immersed in a perpendicular uniform magnetic field. The electrons are described by Hubbard Hamiltonian.…

Strongly Correlated Electrons · Physics 2025-04-10 Alexei Sherman

Using exact diagonalizations we consider self-consistently the lattice distortions in odd Peierls-Hubbard and spin-Peierls periodic rings in the adiabatic harmonic approximation. From the tails of the inherent spin soliton the dimerization…

Strongly Correlated Electrons · Physics 2016-08-31 J. Málek , S. -L. Drechsler , G. Paasch , K. Hallberg

The boundary effects affecting the Hamiltonian for the nanocone with curvatureinduced spin orbit coupling were considered and the corresponding electronic structure was calculated. These boundary effects include the spin orbit coupling, the…

Mesoscale and Nanoscale Physics · Physics 2017-05-15 J. Smotlacha , R. Pincak

It was realized two decades ago that the two-dimensional diffusive Fermi liquid phase is unstable against arbitrarily weak electron-electron interactions. Recently, using the nonlinear sigma model developed by Finkelstein, several authors…

Disordered Systems and Neural Networks · Physics 2009-11-11 Xiao Yang , Chetan Nayak

We consider spinless electrons in two dimensions with the bare spectrum $\epsilon({\bf p})=|p_x|+|p_y|$. In momentum space, the interactions among electrons have a finite range $q_0$, which is small compared to the Fermi momentum. A golden…

Condensed Matter · Physics 2009-10-22 R. Hlubina

Mathematical analysis of the Anderson localization has been facilitated by the use of suitable fractional moments of the Green function. Related methods permit now a readily accessible derivation of a number of physical manifestations of…

Condensed Matter · Physics 2009-10-28 M. Aizenman , G. M. Graf

We review a certain class of ("nearly") exactly solvable models of electronic spectrum of two-dimensional systems with fluctuations of short range order of "dielectric" (e.g. antiferromagnetic) or "superconducting" type, leading to the…

Superconductivity · Physics 2015-06-25 M. V. Sadovskii

A microscopic theory of superconductivity is formulated within an effective $p$-$d$ Hubbard model for a CuO2 plane. By applying the Mori-type projection technique, the Dyson equation is derived for the Green functions in terms of Hubbard…

Strongly Correlated Electrons · Physics 2007-05-23 N. M. Plakida

The Luttinger-Ward functional $\Phi[\mathbf{G}]$, which expresses the thermodynamic grand potential in terms of the interacting single-particle Green's function $\mathbf{G}$, is found to be ill-defined for fermionic models with the Hubbard…

Strongly Correlated Electrons · Physics 2015-04-20 Evgeny Kozik , Michel Ferrero , Antoine Georges