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In order to clarify a key role of orbital degree of freedom in the spin S=1 Haldane system, we investigate ground-state properties of the t2g-orbital degenerate Hubbard model on the linear chain by using numerical techniques. Increasing the…

Strongly Correlated Electrons · Physics 2009-11-10 Hiroaki Onishi , Takashi Hotta

We investigate the ground-state properties of a one-dimensional $t_{\rm 2g}$-orbital Hubbard model including an atomic spin-orbit coupling by using numerical methods, such as Lanczos diagonalization and density-matrix renormalization group.…

Strongly Correlated Electrons · Physics 2015-05-27 Hiroaki Onishi

In strongly correlated electronic systems, several novel physical properties are induced by the orbital degree of freedom. In particular, orbital degeneracy near the Fermi level leads to spontaneous symmetry breaking, such as the nematic…

Strongly Correlated Electrons · Physics 2021-02-02 Ling-Fang Lin , Nitin Kaushal , Yang Zhang , Adriana Moreo , Elbio Dagotto

By using the density matrix renormalization group method, we investigate ground- and excited-state properties of the e_g-orbital degenerate Hubbard model at quarter filling for two kinds of lattices, zigzag chain and ladder. In the zigzag…

Strongly Correlated Electrons · Physics 2009-11-10 Hiroaki Onishi , Takashi Hotta

We study itinerant ferromagnetism in multi-orbital Hubbard models in certain two-dimensional square and three-dimensional cubic lattices. In the strong coupling limit where doubly occupied orbitals are not allowed, we prove that the fully…

Strongly Correlated Electrons · Physics 2014-05-29 Yi Li , Elliott H. Lieb , Congjun Wu

The magnetic phase diagrams of models for quasi one-dimensional compounds belonging to the iron-based superconductors family are presented. The five-orbital Hubbard model and the real-space Hartree-Fock approximation are employed,…

Superconductivity · Physics 2015-06-19 Qinlong Luo , Kateryna Foyevtsova , German D. Samolyuk , Fernando Reboredo , Elbio Dagotto

We establish the phase diagram of the Hubbard model on a cubic lattice for a wide range of temperatures, dopings and interaction strengths, considering both commensurate and incommensurate magnetic orders. We use the dynamical mean-field…

Strongly Correlated Electrons · Physics 2025-02-14 Liam Rampon , Fedor Šimkovic , Michel Ferrero

Motivated by the largely unexplored domain of multi-polar ordered spin states in the Kitaev-Heisenberg (KH) systems we investigate the ground state dynamics of the spin-$\frac{1}{2}$ KH model, focusing on quadrupolar (QP) order in 2-leg…

Strongly Correlated Electrons · Physics 2025-03-28 Manodip Routh , Sayan Ghosh , Jeroen van den Brink , Satoshi Nishimoto , Manoranjan Kumar

The orbital degrees of freedom are of vital importance in explanation of various phenomena. Among them is the orbital-selective Mott transition (OSMT), which is thought to occur in several materials as Ca$_{2-x}$Sr$_x$RuO$_4$ and…

Strongly Correlated Electrons · Physics 2015-11-24 E Plekhanov , A Avella , F Mancini , F P Mancini

The nondegenerate two-orbital Hubbard model is studied within the dynamic mean-field theory to reveal the influence of two important factors, i.e. crystal field splitting and interorbital hopping, on orbital selective Mott transition (OSMT)…

Strongly Correlated Electrons · Physics 2009-11-06 Yun Song , Liang-Jian Zou

Using the variational cluster approach based on the self-energy functional theory, we study the possible occurrence of excitonic order and superconductivity in the two-orbital Hubbard model with intra- and inter-orbital Coulomb…

Strongly Correlated Electrons · Physics 2018-05-17 Ryo Fujiuchi , Koudai Sugimoto , Yukinori Ohta

The microscopic modeling of spin-orbit entangled $j=1/2$ Mott insulators such as the layered hexagonal Iridates Na$_2$IrO$_3$ and Li$_2$IrO$_3$ has spurred an interest in the physics of Heisenberg-Kitaev models. Here we explore the effect…

Strongly Correlated Electrons · Physics 2014-07-15 Eran Sela , Hong-Chen Jiang , Max H. Gerlach , Simon Trebst

Multiple spin density waves and related vortex-type magnetic structures in the itinerant electron system with inversion symmetry have been investigated on the basis of the Hubbard model and the generalized Hartree-Fock approximation…

Strongly Correlated Electrons · Physics 2020-02-19 Yoshiro Kakehashi

An effective Hartree-Fock-Bogoliubov-type interaction is calculated for the Hubbard-model in second order in the coupling by means of flow-equations. A stability analysis is performed in order to obtain the transition into various possible…

Strongly Correlated Electrons · Physics 2007-05-23 I. Grote , E. Koerding , F. Wegner

We formulate the double exchange (DE) model for systems with $t_{2g}$ orbital degeneracy, relevant for hole-doped cubic vanadates. In the relevant regime of strong on-site Coulomb repulsion $U$ we solve the model using two distinct…

Strongly Correlated Electrons · Physics 2007-06-13 Krzysztof Wohlfeld

Based on a symmetry argument, we systematically reveal Hartree-Fock broken-symmetry solutions of the one-dimensional two-band extended Peierls-Hubbard model. Performing numerical investigations as well, the possibility of novel density-wave…

Strongly Correlated Electrons · Physics 2007-05-23 Shoji Yamamoto

We obtain an almost complete understanding of the mean-field phase diagram of the two-dimensional Hubbard model on a square lattice with a sizable next-nearest neighbor hopping and a moderate interaction strength. In particular, we clarify…

Strongly Correlated Electrons · Physics 2024-07-02 Robin Scholle , Walter Metzner , Demetrio Vilardi , Pietro M. Bonetti

Using Gutzwiller's semiclassical periodic-orbit theory we demonstrate universal behaviour of the two-point correlator of the density of levels for quantum systems whose classical limit is fully chaotic. We go beyond previous work in…

Chaotic Dynamics · Physics 2009-10-13 Sebastian Müller , Stefan Heusler , Alexander Altland , Petr Braun , Fritz Haake

We review the recently proposed extension of the Gutzwiller approximation, M. Schiro' and M. Fabrizio, Phys. Rev. Lett. 105, 076401 (2010), designed to describe the out-of-equilibrium time-evolution of a Gutzwiller-type variational wave…

Strongly Correlated Electrons · Physics 2015-06-04 Michele Fabrizio

We extend previous studies on orbital-selective Mott transitions in the paramagnetic state of the half-filled degenerate two-band Hubbard model to the general doped case, using a high-precision quantum Monte Carlo dynamical mean-field…

Strongly Correlated Electrons · Physics 2009-09-22 Eberhard Jakobi , Nils Blümer , Peter van Dongen