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We develop a Non-Crossing Approximation (NCA) for the effective cluster problem of the recently developed Dynamical Cluster Approximation (DCA). The DCA technique includes short-ranged correlations by mapping the lattice problem onto a…

Strongly Correlated Electrons · Physics 2009-10-31 Th. Maier , M. Jarrell , Th. Pruschke , J. Keller

Proposals for superconductivity emerging from correlated electrons in the doped Hubbard model on the honeycomb lattice range from chiral $d+id$ singlet to $p+ip$ triplet pairing, depending on the considered range of doping and interaction…

Strongly Correlated Electrons · Physics 2016-09-05 Xiao Yan Xu , Stefan Wessel , Zi Yang Meng

We investigate the temperature-dependent behavior emerging in the vicinity of the superfluid (SF) to Mott-insulator (MI) transition of interacting bosons in a two-dimensional optical lattice, described by the Bose-Hubbard model. The…

Quantum Gases · Physics 2022-03-03 Ulli Pohl , Sayak Ray , Johann Kroha

We study the dynamical response of the half-filled one-dimensional(1d) Hubbard model for a range of interaction strengths $U$ and temperatures $T$ by a combination of numerical and analytical techniques. Using time-dependent density matrix…

Strongly Correlated Electrons · Physics 2018-02-07 Alberto Nocera , Fabian H. L. Essler , Adrian E. Feiguin

We consider a zero-temperature one-dimensional system of bosons interacting via the soft-shoulder potential in the continuum, typical of dressed Rydberg gases. We employ quantum Monte Carlo simulations, which allow for the exact calculation…

We present analytical results of fundamental properties of one-dimensional (1D) Hubbard model with a repulsive interaction, ranging from fractional excitations to universal thermodynamics, interaction-driven criticality, correlation…

Strongly Correlated Electrons · Physics 2024-10-11 Jia-Jia Luo , Han Pu , Xi-Wen Guan

We present clear numerical evidence for the coexistence of metallic and insulating dynamical mean field theory(DMFT) solutions in a half-filled single-band Hubbard model with bare semicircular density of states at finite temperatures.…

Strongly Correlated Electrons · Physics 2009-10-31 Jaewook Joo , Viktor Oudovenko

The half filled Hubbard model is studied in the pair approximation of the Cluster Variation Method. The use of the $SO(4)$ symmetry of the model makes possible to give a complete analytical characterization of the ground state, by means of…

Condensed Matter · Physics 2009-10-22 Alessandro Pelizzola

The Mott transition is a paradigmatic phenomenon where Coulomb interactions between electrons drive a metal-insulator phase transition. It is extensively studied within the Hubbard model, where a quantum critical transition occurs at a…

Strongly Correlated Electrons · Physics 2025-10-20 Ankur Majumder , Sudeshna Sen

We studied several aspects of the Mott metal-insulator transition in the disordered case. The model on which we based our analysis is the disordered Hubbard model, which is the simplest model capable of capturing the Mott metal-insulator…

Strongly Correlated Electrons · Physics 2020-07-01 M. Y. Suárez-Villagrán , N. Mitsakos , Tsung-Han Lee , V. Dobrosavljević , J. H. Miller, , E. Miranda

We employ a new method for studying compositionally disordered ferroelectric oxides. This method is based on the virtual crystal approximation (VCA), in which two or more component potentials are averaged into a composite atomic potential.…

Materials Science · Physics 2009-10-31 Nicholas J. Ramer , Andrew M. Rappe

We develop a variational wave function for the ground state of a one-dimensional bosonic lattice gas. The variational theory is initally developed for the quantum rotor model and later on extended to the Bose-Hubbard model. This theory is…

Condensed Matter · Physics 2009-11-10 J. J. Garcia-Ripoll , J. I. Cirac , P. Zoller , C. Kollath , U. Schollwoeck , J. von Delft

Nonstoichiometric ceria(CeO$_{2-\delta}$) is a candidate reaction medium to facilitate two step water splitting cycles and generate hydrogen. Improving upon its thermodynamic suitability through doping requires an understanding of its…

Materials Science · Physics 2012-10-17 Chirranjeevi Balaji Gopal , Axel van de Walle

The coupled cluster method (CCM) is applied to the spin-one anisotropic Heisenberg antiferromagnet (HAF) on the square lattice at zero temperature using a new high-order CCM ground-state formalism for general quantum spin number ($s \ge…

Strongly Correlated Electrons · Physics 2007-05-23 D. J. J. Farnell , K. A. Gernoth , R. F. Bishop

We take advantage of recent improvements in the grand canonical Hybrid Monte Carlo algorithm, to perform a precision study of the single-particle gap in the hexagonal Hubbard model, with on-site electron-electron interactions. After…

Strongly Correlated Electrons · Physics 2021-01-04 Johann Ostmeyer , Evan Berkowitz , Stefan Krieg , Timo A. Lähde , Thomas Luu , Carsten Urbach

We study the binding of a holon to a doublon in a half-filled Hubbard model as the mechanism of the zero-temperature metal-insulator transition. In a spin polarized system and a non-bipartite lattice a single holon-doublon (HD) pair…

Strongly Correlated Electrons · Physics 2016-01-06 Peter Prelovšek , Jure Kokalj , Zala Lenarčič , Ross H. McKenzie

The recently developed variational discrete action theory (VDAT) provides a systematic variational approach to the ground state of the quantum many-body problem, where the quality of the solution is controlled by an integer $\mathcal{N}$,…

Strongly Correlated Electrons · Physics 2023-06-29 Zhengqian Cheng , Chris A. Marianetti

Using the holographic correspondence as a tool, we study the dynamics of first-order phase transitions in strongly coupled gauge theories at finite temperature. Considering an evolution from the large to the small temperature phase, we…

High Energy Physics - Theory · Physics 2021-02-03 Francesco Bigazzi , Alessio Caddeo , Aldo L. Cotrone , Angel Paredes

We consider a modification of the one-dimensional Hubbard model by including an external pairing potential. Guided by analytic bosonization results, we quantitatively determine the grand-canonical zero-temperature phase diagram using both…

Strongly Correlated Electrons · Physics 2021-01-20 Myung-Hoon Chung , Edmond Orignac , Didier Poilblanc , Sylvain Capponi

We present a $T=0K$ renormalization group (RG) phase diagram for the electronic Hubbard model in two dimensions on the square lattice at, and away from, half filling. The RG procedure treats quantum fluctuations in the single particle…

Strongly Correlated Electrons · Physics 2020-06-24 Anirban Mukherjee , Siddhartha Lal