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The properties of a phase at finite interactions can be significantly influenced by the underlying dispersion of the non-interacting Hamiltonian. We demonstrate this by studying the repulsive Hubbard model on the $2$D Lieb lattice, which…

Strongly Correlated Electrons · Physics 2017-12-27 Pramod Kumar , Tuomas I. Vanhala , Päivi Törmä

We show that confinement in the quantum Ising model leads to nonthermal eigenstates, in both continuum and lattice theories, in both one (1D) and two dimensions (2D). In the ordered phase, the presence of a confining longitudinal field…

Statistical Mechanics · Physics 2019-04-10 Andrew J. A. James , Robert M. Konik , Neil J. Robinson

We obtain the phase-diagram of the half-filled honeycomb Hubbard model with density matrix embedding theory, to address recent controversy at intermediate couplings. We use clusters from 2-12 sites and lattices at the thermodynamic limit.…

Strongly Correlated Electrons · Physics 2015-06-18 Qiaoni Chen , George H. Booth , Sandeep Sharma , Gerald Knizia , Garnet Kin-Lic Chan

We investigate the ground state phase diagram of the half-filled repulsive Hubbard model in two dimensions in the presence of a staggered potential $\Delta$, the so-called ionic Hubbard model, using cluster dynamical mean field theory. We…

Strongly Correlated Electrons · Physics 2015-06-25 S. S. Kancharla , E. Dagotto

We analyze the unanalytical structure of metal-insulator transition (MIT) in infinite dimensions. By introducing a simple transformation into the dynamical mean-field equation of Hubbard model, a multiple-valued structure in Green's…

Strongly Correlated Electrons · Physics 2009-11-07 Ning-Hua Tong , Shun-Qing Shen , Fu-Cho Pu

We calculate the magnetic phase diagram of the Hubbard model for a Bethe lattice with nearest neighbour (NN) hopping $t_1$ and next nearest neighbour (NNN) hopping $t_2$ in the limit of infinite coordination. We use the amplitude $t_2/t_1$…

Strongly Correlated Electrons · Physics 2015-05-13 Robert Peters , Thomas Pruschke

A local, second-order (truncated) approximation is applied to the Hubbard model in three dimensions. Lowering the temperature, at half-filling, the paramagnetic ground state becomes unstable towards the formation of a commensurate…

Condensed Matter · Physics 2019-08-15 A. N. Tahvildar-Zadeh , J. K. Freericks , M. Jarrell

We study the phase diagram of a square lattice Hubbard model with a perfect vacancy superstructure. The model can be also defined on a new bipartite lattice with each building blocks consisting of a minimal square. The non-interacting model…

Strongly Correlated Electrons · Physics 2013-05-29 Hua Chen , Chao Cao , Jianhui Dai

We characterize the low-energy physics of the two-orbital Hubbard model in the orbital-selective Mott phase, in which one band is metallic and the other insulating. Using dynamical mean-field theory with the numerical renormalization group…

Strongly Correlated Electrons · Physics 2013-12-03 Markus Greger , Michael Sekania , Marcus Kollar

Within the framework of a mean-field approach the Mott-Hubbard phase transition is considered in the Hubbard and Falicov-Kimball models for half-filled occupation. It is shown that a static Z_2-field forms an insulator state on the lattice…

Strongly Correlated Electrons · Physics 2022-05-25 Igor N. Karnaukhov

We study a range of thermodynamic properties (charge susceptibility, specific heat, entropy and spin susceptibility) of the Hubbard model on the anisotropic triangular lattice at half filling by means of the numerical finite-temperature…

Strongly Correlated Electrons · Physics 2013-05-30 J. Kokalj , Ross H. McKenzie

The magnetic properties and Mott transition of the Hubbard model on the square lattice with frustration are studied at half-filling and zero temperature by the variational cluster approximation. When the on-site repulsion $U$ is large,…

Strongly Correlated Electrons · Physics 2015-06-15 A. Yamada , K. Seki , R. Eder , Y. Ohta

We develop a fully microscopic, statistical mechanics approach to study phase transitions in Ising systems with competing interactions at different scales. Our aim is to consider orientational and positional order parameters in a unified…

Statistical Mechanics · Physics 2011-09-28 Daniel G. Barci , Daniel A. Stariolo

The spin-1/2 Hamiltonian for two coupled isosceles Heisenberg triangles, which is well suited for describing the V$_6$-type magnetic molecules, is studied by exact diagonalization. The quantum phase transition diagram, at zero temperature,…

Statistical Mechanics · Physics 2020-12-30 J. Torrico , J. A. Plascak

We report a detailed study of a model Hamiltonian which exhibits a rich interplay of geometrical spin frustration, strong electronic correlations, and charge ordering. The character of the insulating phase depends on the magnitude of…

Strongly Correlated Electrons · Physics 2013-05-29 J. Merino , R. H. McKenzie , B. J. Powell

We study the dissipative Fermi-Hubbard model in the limit of weak tunneling and strong repulsive interactions, where each lattice site is tunnel-coupled to a Markovian fermionic bath. For cold baths at intermediate chemical potentials, the…

Strongly Correlated Electrons · Physics 2022-03-30 Gernot Schaller , Friedemann Queisser , Nikodem Szpak , Jürgen König , Ralf Schützhold

We present a stability analysis of the 2D t-t' Hubbard model on a square lattice for various values of the next-nearest-neighbor hopping t' and electron concentration. Using the free energy expression, derived by means of the flow equations…

Strongly Correlated Electrons · Physics 2009-11-07 V. Hankevych , F. Wegner

To understand the essence of the exciton Mott transition in three-dimensional electron-hole systems, the metal-insulator transition is studied for a two-band Hubbard model in infinite dimensions with interactions of electron-electron…

Strongly Correlated Electrons · Physics 2007-05-23 Yuh Tomio , Tetsuo Ogawa

We investigate the ground-state properties of the highly degenerate non-coplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice with Monte Carlo simulations. For that purpose, we introduce an Ising…

Strongly Correlated Electrons · Physics 2013-09-09 Sandro Wenzel , Sergey E. Korshunov , Karlo Penc , Frédéric Mila

The Heisenberg antiferromagnet on the maple-leaf lattice has recently gathered a great deal of attention. Competition between three nonequivalent bond interactions results in various ground-state quantum phases, the exact dimer-product…

Strongly Correlated Electrons · Physics 2025-09-03 Taras Hutak
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