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We investigate the half-filled two-orbital Hubbard model with the crystalline electric field using dynamical mean-field theory combined with the continuous-time quantum Monte Carlo simulations. We systematically study how the interplay of…

Strongly Correlated Electrons · Physics 2019-01-30 Kosuke Ishigaki , Joji Nasu , Akihisa Koga

We consider a mixture of two distinct species of atoms of pseudospin-1/2 with both intraspecies and Interspecies spin-exchange interactions, and find all the ground stats in a general case of the parameters in the effective Hamiltonian. In…

Quantum Gases · Physics 2011-03-08 Jinglong Wang , Yu Shi

We present density-matrix renormalization group results for the ground state properties of two-leg Hubbard ladders. The half-filled Hubbard ladder is an insulating spin-gapped system, exhibiting a crossover from a spin-liquid to a…

Condensed Matter · Physics 2009-10-28 R. M. Noack , S. R. White , D. J. Scalapino

The two-orbital Hubbard model with the Hund coupling is investigated in a metallic phase close to the Mott insulator. We calculate the one-particle spectral function and the optical conductivity within dynamical mean field theory, for which…

Strongly Correlated Electrons · Physics 2009-11-07 Yoshiki Imai , Norio Kawakami

We study the effect of the coupling between the electronic ground state of high spin alkaline-earth fermionic atoms and their metastable optically excited state, when the system is confined in a one-dimensional chain, and show that the…

Quantum Gases · Physics 2015-06-16 Edina Szirmai

Excitonic density-wave states realized by the quantum condensation of electron-hole pairs (or excitons) are studied in the two-band Hubbard model with Hund's rule coupling and the pair hopping term. Using the variational cluster…

Strongly Correlated Electrons · Physics 2024-08-19 Tatsuya Kaneko , Yukinori Ohta

We propose a series of models with inverse-square interactions, for which the ground states have an exact closed form, that describe one localized spin-$1/2$ Kondo impurity coupled to Luttinger liquids of itinerant bosons or fermions in the…

Strongly Correlated Electrons · Physics 2023-10-11 Hua-Chen Zhang , Ying-Hai Wu , Hong-Hao Tu

Synthetic spin-orbit coupling in cold atoms couples the pseudo-spin and spatial degrees of freedom, and therefore the inherent spin symmetry of the system plays an important role. In systems of two pseudo-spin degrees, two particles contain…

Quantum Gases · Physics 2025-02-05 Ayaka Usui , Abel Rojo-Francàs , James Schloss , Bruno Juliá-Díaz

Using the formalism of pseudospin and isospin operators the Hamiltonian of an effective Kugel-Khomskii model with spin-orbit coupling is derived with an exact account of the $t_{2g}$ multiplet splitting by the crystal field. An analytical…

Strongly Correlated Electrons · Physics 2026-02-27 D. E. Chizhov , P. A. Igoshev , V. Yu. Irkhin

In a system where selective Mott localization is realized, some electrons show a gap to charge excitations while others do not. A hybridization between these two kind of electrons will lead to a smoothening of this sharp difference and can…

Strongly Correlated Electrons · Physics 2014-03-05 E. A. Winograd , L. de' Medici

We consider the effective spin Hamiltonian describing a mixture of two species of pseudo-spin-1/2 Bose gases with interspecies spin exchange. First we analyze the stability of the fixed points of the corresponding classical dynamics, of…

Quantum Gases · Physics 2015-06-03 Rukuan Wu , Yu Shi

Determining the ground state properties of the two-dimensional Hubbard model has remained an outstanding problem. Applying recent advances in constrained path auxiliary-field quantum Monte Carlo techniques and simulating large rectangular…

Strongly Correlated Electrons · Physics 2010-03-22 Chia-Chen Chang , Shiwei Zhang

In this paper the spin configurations of the ground state and one- and two-electron excited states of the Hubbard model on the square lattice are studied. We profit from a general rotated-electron description, which is consistent with the…

Strongly Correlated Electrons · Physics 2010-04-13 J. M. P. Carmelo

High-spin systems with orbital degeneracy are studied in the large spin limit. In the absence of Hund's coupling, the classical spin model is mapped onto disconnected orbital systems with spins up and down, respectively. The ground state of…

Strongly Correlated Electrons · Physics 2009-11-07 Shun-Qing Shen , X. C. Xie , F. C. Zhang

We rigorously establish some exact properties of reflection symmetric spin systems with antiferromagnetic crossing bonds: At least one ground state has total spin zero and a positive semidefinite coefficient matrix. The crossing bonds obey…

Mathematical Physics · Physics 2009-10-31 Elliott H. Lieb , Peter Schupp

We use the slave-spin mean-field approach to study particle-hole symmetric one- and two-band Hubbard models in presence of Hund's coupling interaction. By analytical analysis of Hamiltonian, we show that the locking of the two orbitals…

Strongly Correlated Electrons · Physics 2017-09-13 Yashar Komijani , Gabriel Kotliar

By revisiting the path-integral formulation of the Hubbard model, we propose a theoretical approach based on a semiclassical approximation employing an unconventional coherent-state representation. Within this framework, a subset of the…

Strongly Correlated Electrons · Physics 2026-04-06 Yuki Yamasaki , Hidemaro Suwa , Cristian D. Batista , Shintaro Hoshino

The ground state, magnetization scenario and the local bipartite quantum entanglement of a mixed spin-$1/2$ Ising--Heisenberg model in a magnetic field on planar lattices formed by identical corner-sharing bipyramidal plaquettes is examined…

Statistical Mechanics · Physics 2021-12-15 Lucia Gálisová , Michał Kaczor

We present a method to numerically obtain low-energy effective models based on a unitary transformation of the ground state. The algorithm finds a unitary circuit that transforms the ground state of the original model to a projected…

Strongly Correlated Electrons · Physics 2025-07-23 Shengtao Jiang , Steven R. White

This paper presents symmetry classes of the Hartree-Fock (HF) solutions of spin and orbital ordered states in a t_{2g} Hubbard model on a two-dimensional square lattice. Using a group theoretical bifurcation theory of the Hartree Fock…

Strongly Correlated Electrons · Physics 2009-03-20 Masanori Hamada , Akira Nakanishi , Akira Goto , Masa-aki Ozaki