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We study the magnetic interactions in Mott-Hubbard systems with partially filled $t_{2g}$-levels and with strong spin-orbit coupling. The latter entangles the spin and orbital spaces, and leads to a rich variety of the low energy…

Strongly Correlated Electrons · Physics 2009-02-11 G. Jackeli , G. Khaliullin

We study the half-filled Hubbard model on a one-parameter family of vortex-full square lattices ranging from the isotropic case to weakly coupled Hubbard dimers. The ground-state phase diagram consists of four phases: A semi-metal and a…

Strongly Correlated Electrons · Physics 2014-12-01 D. Ixert , F. F. Assaad , K. P. Schmidt

As one of the most intriguing states of matter, the chiral spin liquid (CSL) has attracted much scientific interest while its existence and mechanism in crystalline strongly correlated systems remain hotly debated. On the other hand, strong…

Strongly Correlated Electrons · Physics 2024-04-09 Yixuan Huang , D. N. Sheng , Jian-Xin Zhu

Motivated by the recent discovery of a low temperature spin liquid phase in layered organic compound $\kappa$-(ET)$_2$Cu$_2$(CN)$_3$ which becomes a superconductor under pressure, we examine the phase transition of Mott insulating and…

Superconductivity · Physics 2007-05-23 J. Y. Gan , Yan Chen , F. C. Zhang

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

The Bose-Hubbard Hamiltonian describes the competition between superfluidity and Mott insulating behavior at zero temperature and commensurate filling as the strength of the on-site repulsion is varied. Gapped insulating phases also occur…

Quantum Gases · Physics 2014-05-28 T. Ying , G. G. Batrouni , G. X. Tang , X. D. Sun , R. T. Scalettar

We investigate the ground-state phase diagram of the one-dimensional "ionic" Hubbard model with an alternating periodic potential at half-filling by numerical diagonalization of finite systems with the Lanczos and density matrix…

Strongly Correlated Electrons · Physics 2009-11-10 A. P. Kampf , M. Sekania , G. I. Japaridze , Ph. Brune

The Mott insulator provides an excellent foundation for exploring a wide range of strongly correlated physical phenomena, such as high-temperature superconductivity, quantum spin liquid, and colossal magnetoresistance. A Mott insulator with…

We present a comprehensive study of the spin excitations - as measured by the dynamical spin structure factor $S(q,\omega)$ - of the so-called block-magnetic state of low-dimensional orbital-selective Mott insulators. We realize this state…

Strongly Correlated Electrons · Physics 2020-09-17 J. Herbrych , G. Alvarez , A. Moreo , E. Dagotto

We demonstrate theoretically an atomic liquid phase that supports topologically nontrivial electronic structure. A minimum two-orbital model of liquid topological insulator in two dimensions is constructed within the framework of…

Mesoscale and Nanoscale Physics · Physics 2019-06-07 Gia-Wei Chern

We extend to charge and bond operators the transformation that maps the ionic Hubbard model at half filling onto an effective spin Hamiltonian. Using these operators we calculate the amplitude of the charge density wave in different…

Strongly Correlated Electrons · Physics 2009-11-10 A. A. Aligia

We investigate Luttinger Liquid superlattices, a periodic structure composed of two kinds of one-dimensional systems of interacting electrons. We calculate several properties of the low-energy sector: the effective charge and spin…

Strongly Correlated Electrons · Physics 2007-05-23 J. Silva-Valencia , E. Miranda , Raimundo R. dos Santos

We study a model of hard-core bosons with short-range repulsive interactions at half-filling on the kagome lattice. Using quantum Monte Carlo (QMC) numerics, we find that this model shows a continuous superfluid to insulator quantum phase…

Strongly Correlated Electrons · Physics 2007-05-23 S. V. Isakov , Yong Baek Kim , A. Paramekanti

Recent investigations suggest that both spin-orbit coupling and electron correlation play very crucial roles in the $5d$ transition metal oxides. By using the generalized Gutzwiller variational method and dynamical mean-field theory with…

Strongly Correlated Electrons · Physics 2015-06-12 Liang Du , Li Huang , Xi Dai

The quantum spin liquid (QSL) state has been searched intensively in Kitaev-like materials, such as the Iridium oxides $A_2$IrO$_3$ and $\alpha$-RuCl$_3$. The half-filled Kitaev-Hubbard model with bond dependent hopping terms is used to…

Strongly Correlated Electrons · Physics 2022-10-06 Shaojun Dong , Hao Zhang , Chao Wang , Meng Zhang , Yong-Jian Han , Lixin He

The discovery and realization of topological insulators, a phase of matter which hosts metallic boundary states when the $d$-dimension insulating bulk is confined to ($d-1$)-dimensions, led to several potential applications. Recently, it…

We study the Extended Bose-Hubbard Model with a three-body onsite interaction. Using an exact diagonalization method and a variational Matrix Product States algorithm, \emph{Alps mps-optim}, we compute and analyse the energy charge gap and…

Quantum Gases · Physics 2020-09-09 Henry Otobrise , Kunle Adegoke

We study novel electronic properties of the Hubbard model on a triangular lattice using the cellular dynamical mean-field theory. The interplay of strong geometric frustration and electron correlations causes a Mott transition at the…

Strongly Correlated Electrons · Physics 2009-11-11 Bumsoo Kyung

We investigate properties of a topological Mott insulator in one dimension by examining the bulk topological invariant and the entanglement spectrum of a correlated electron model. We clarify how gapless edge states in a non-interacting…

Strongly Correlated Electrons · Physics 2014-06-10 Tsuneya Yoshida , Robert Peters , Satoshi Fujimoto , Norio Kawakami

We investigate a tight-binding model of the octahedron-decorated cubic lattice with spin-orbit coupling. We calculate the band structure of the lattice and evaluate the Z_2 topological indices. According to the Z_2 topological indices and…

Strongly Correlated Electrons · Physics 2015-05-27 Jing-Min Hou , Wen-Xin Zhang , Guo-Xiang Wang
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