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The formalism for exactly calculating the retarded and advanced Green's functions of strongly correlated lattice models in a uniform electric field is derived within dynamical mean-field theory. To illustrate the method, we solve for the…

Strongly Correlated Electrons · Physics 2009-07-09 A. V. Joura , J. K. Freericks , Th. Pruschke

Most density functionals have been developed by imposing the known exact constraints on the exchange-correlation energy, or by a fit to a set of properties of selected systems, or by both. However, accurate modeling of the conventional…

Materials Science · Physics 2016-08-24 Jianmin Tao , Yuxiang Mo

We investigate the one-dimensional strongly correlated electron models which have the resonating-valence-bond state as the exact ground state. The correlation functions are evaluated exactly using the transfer matrix method for the…

Condensed Matter · Physics 2009-10-28 Masanori Yamanaka , Shinsuke Honjo , Yasuhiro Hatsugai , Mahito Kohmoto

In a tight binding framework, we analyze the characteristics of electronic states in strongly disordered materials (hopping sites are placed randomly with no local order) with tunneling matrix elements decaying exponentially in the atomic…

Materials Science · Physics 2012-02-01 D. J. Priour

We demonstrate the existence of different density-density functionals designed to retain selected properties of the many-body ground state in a non-interacting solution starting from the standard density functional theory ground state. We…

Other Condensed Matter · Physics 2009-11-13 F. A. Reboredo , P. R. C. Kent

We calculate the local density of states of a two-dimensional electron system under strong crossed magnetic and electric fields. We assume a strong perpendicular magnetic field which, in the absence of in-plane electric fields and collision…

Mesoscale and Nanoscale Physics · Physics 2011-05-11 S. Erden Gulebaglan , I. Sokmen , A. Siddiki , R. R. Gerhardts

We present a new method for realizing the adiabatic connection approach in density functional theory, which is based on combining accurate variational quantum Monte Carlo calculations with a constrained optimization of the ground state…

Materials Science · Physics 2015-06-25 Maziar Nekovee , W. M. C. Foulkes , A. J. Williamson , G. Rajagopal , R. J. Needs

We calculate the electronic states of Al$_x$Ga$_{1-x}$As/GaAs/Al$_x$Ga$_{1-x}$As double heterojunctions subjected to a magnetic field parallel to the quasi two-dimensional electron gas. We study the energy dispersion curves, the density of…

Materials Science · Physics 2014-01-03 C. Simserides

With the goal of measuring localization in disordered interacting systems, we examine the finite-size scaling of the geometrically-averaged density of states calculated from the local Green's function with finite energy resolution. Our…

Strongly Correlated Electrons · Physics 2009-11-13 R. Wortis , Yun Song , W. A. Atkinson

We present a high-accuracy procedure for electronic structure calculations of strongly correlated materials. To address limitations in current electronic structure methods, we employ density functional theory in combination with the…

Binding energies and density profiles of two-dimensional systems of liquid He-4 with different geometries are studied by means of a zero-range density functional adjusted to reproduce the line tension obtained in a previous diffusion Monte…

Other Condensed Matter · Physics 2007-05-23 J. Mur-Petit , A. Sarsa , J. Navarro , A. Polls

Machine learning has made important headway in helping to improve the treatment of quantum many-body systems. A domain of particular relevance are correlated inhomogeneous systems. What has been missing so far is a general, scalable…

Quantum Physics · Physics 2026-02-10 Alex Blania , Sandro Herbig , Fabian Dechent , Evert van Nieuwenburg , Florian Marquardt

The one dimensional dimer model is investigated and the localization length calculated exactly. The presence of delocalized states at $E_c = \epsilon_{a,b}$ of two possible values of the chemical potential in case of…

Disordered Systems and Neural Networks · Physics 2009-09-29 T. Sedrakyan

We have performed a variational Monte Carlo simulation to study the ground state of a two-dimensional Hubbard model on a square lattice in the strong coupling region. The energy gain of possible inhomogeneous electron states are computed as…

Strongly Correlated Electrons · Physics 2022-07-04 Mitake Miyazaki , Takashi Yanagisawa

We consider a phenomenological model for a coupling between the dark matter and dark energy fluids and investigate the sensitivity of a weak lensing measurement for constraining the size of this coupling term. Physically, the functional…

The use of quantum entanglement to study condensed matter systems has been flourishing in critical systems and topological phases. Additionally, using real-space entanglement entropies and entanglement spectra one can characterize localized…

Mesoscale and Nanoscale Physics · Physics 2013-12-20 Ian Mondragon-Shem , Mayukh Khan , Taylor L. Hughes

We present a new approach to the analysis of entanglement in smooth bipartite continuous-variable states. One or both parties perform projective filterings via preliminary measurements to determine whether the system is located in some…

Quantum Physics · Physics 2009-11-13 H. -C. Lin , A. J. Fisher

We investigate the stability with respect to phase separation or charge density-wave formation of the two-dimensional Hubbard model for various values of the local Coulomb repulsion and electron densities using Green-function Monte Carlo…

Strongly Correlated Electrons · Physics 2009-10-31 F. Becca , M. Capone , S. Sorella

The classical Monte Carlo method is used to study the properties of the ground state and phase transitions of the spin-pseudospin model, which describes a two-dimensional Ising magnet with competing charge and spin interactions. This…

Statistical Mechanics · Physics 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , Yu. D. Panov

Ground state energies and on-site density-density correlations are calculated for the 1-D Hubbard model using a linear combination of the Hubbard projection operators. The mean-field coefficients in the resulting linearized Equations of…

Condensed Matter · Physics 2009-10-22 J. C. Hicks , J. Tinka Gammel
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