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The ionic Hubbard model on a cubic lattice is investigated using analytical approximations and Wilson's renormalization group for the charge excitation spectrum. Near the Mott insulating regime, where the Hubbard repulsion starts to…

Strongly Correlated Electrons · Physics 2009-11-11 Torben Jabben , Norbert Grewe , Frithjof Anders

We investigate electronic correlation effects on edge states of quantum spin-Hall insulators within the Kane-Mele-Hubbard model by means of quantum Monte Carlo simulations. Given the U(1) spin symmetry and time-reversal invariance, the…

Strongly Correlated Electrons · Physics 2012-02-23 M. Hohenadler , F. F. Assaad

Recently, we have solved the long-standing problem of connecting the physics of the Mott insulator to the underdoped regime of the t-J model [PRB 82, 014504, 2010]. We have derived a renormalized Hamiltonian valid for small doping (x) which…

Superconductivity · Physics 2010-12-07 Sanjoy K. Sarker , Timothy Lovorn

We demonstrate that a spin degree of freedom can introduce additional texture to higher order topological insulators (HOTIs), manifesting itself in novel topological invariants, phases, and phase transitions. Spin-polarized mid-gap corner…

Mesoscale and Nanoscale Physics · Physics 2022-01-19 Ran Gladstein Gladstone , Minwoo Jung , Gennady Shvets

We investigate the spin and orbital correlations of a superexchange model with spin $S=1$ and orbital $L=1$ relevant for $5d^4$ transition metal Mott insulators, using exact diagonalization and density matrix renormalization group (DMRG).…

Strongly Correlated Electrons · Physics 2020-04-15 Shi Feng , Niravkumar D. Patel , Panjin Kim , Jung Hoon Han , Nandini Trivedi

The generic phase diagram of lightly hole-doped high-$T_c$-cuprates hosts antiferromagnetic insulating phase with well-defined spin-wave excitations. Contrary to the weak-coupling prediction, these modes persist up to the overdoped metallic…

Strongly Correlated Electrons · Physics 2020-08-06 M. Fidrysiak , J. Spałek

We theoretically study the electronic structure and spin properties of one-dimensional nanostructures of the prototypical bulk topological insulator Bi$_2$Se$_3$. Realistic models of experimentally observed Bi$_2$Se$_3$ nanowires and…

Mesoscale and Nanoscale Physics · Physics 2018-04-13 Naunidh Virk , Gabriel Autès , Oleg V. Yazyev

We have studied the tight-binding model for the \alpha-type layered organic conductors, \alpha-(ET)2I3 and \alpha-(BETS)2I3, with a uniform interlayer coupling accompanied by spin-orbit interaction originating from the I3- anion potential.…

Strongly Correlated Electrons · Physics 2024-11-21 Toshihito Osada

We investigate topological transport in a spin-orbit coupled bosonic Mott insulator. We show that interactions can lead to anomalous quasi-particle dynamics even when the spin-orbit coupling is abelian. To illustrate the latter, we consider…

Strongly Correlated Electrons · Physics 2013-03-21 C. H. Wong , R. A. Duine

The Hubbard model, containing only the minimum ingredients of nearest neighbor hopping and on-site interaction for correlated electrons, has succeeded in accounting for diverse phenomena observed in solid-state materials. One of the…

Quantum Gases · Physics 2012-11-29 Shintaro Taie , Rekishu Yamazaki , Seiji Sugawa , Yoshiro Takahashi

The Hubbard model and its strong-coupling version, the Heisenberg one, have been widely studied on the triangular lattice to capture the essential low-temperature properties of different materials. One example is given by transition metal…

Strongly Correlated Electrons · Physics 2020-09-25 Luca F. Tocchio , Arianna Montorsi , Federico Becca

The one dimensional Bose-Hubbard model at a unit filling factor is studied by means of a very high order symbolic perturbative expansion. Analytical expressions are derived for the ground state quantities such as energy per site, variance…

Other Condensed Matter · Physics 2009-11-11 Bogdan Damski , Jakub Zakrzewski

We study an extended Hubbard model with the nearest-neighbor Coulomb interaction on the pyrochlore lattice at half filling. An interaction-driven insulating phase with nontrivial Z_2 invariants emerges at the Hartree-Fock mean-field level…

Strongly Correlated Electrons · Physics 2015-05-20 Moyuru Kurita , Youhei Yamaji , Masatoshi Imada

We establish an analytic low-energy theory describing higher-order topological insulator (HOTI) phases in quasicrystalline systems. We apply this to a model consisting of two stacked Haldane models with oppositely propagating edge modes,…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Stephen Spurrier , Nigel R. Cooper

We present a theoretical study of the low-energy physics of a quarter-hole-filled two-orbital bilayer Hubbard model motivated by transition-metal bilayer systems with strong orbital-selective interlayer hybridization. By explicitly treating…

Strongly Correlated Electrons · Physics 2026-01-13 Guijing Duan , Yunlong Wang , Zhiguang Liao , Changle Liu , Rong Yu

Recently, the notion of topological phases of matter has been extended to higher-order incarnations, supporting gapless modes on even lower dimensional boundaries, such as corners and hinges. We here identify a collection of cubic spin-3/2…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Andras Szabo , Roderich Moessner , Bitan Roy

The topological insulating phase results from inversion of the band gap due to spin-orbit coupling at an odd number of time-reversal symmetric points. In Bi$_2$Se$_3$, this inversion occurs at the $\Gamma$ point. For bulk Bi$_2$Se$_3$, we…

The numerically exact diagonalization study on small clusters of the t-J model with the second- and third- neighbor hopping terms shows that a novel spin liquid state is realized around a doped hole with momentum k=(pi,0) and energy \sim 2J…

Strongly Correlated Electrons · Physics 2009-10-31 T. Tohyama , Y. Shibata , S. Maekawa , Z. -X. Shen , N. Nagaosa , L. L. Miller

The electron's kinetic energy plays a pivotal role in magnetism. While virtual electron hopping promotes antiferromagnetism in an insulator, the real process usually favors ferromagnetism. But in kinetically frustrated systems, such as hole…

Strongly Correlated Electrons · Physics 2023-07-25 Zui Tao , Wenjin Zhao , Bowen Shen , Patrick Knüppel , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

We demonstrate that a combination of disorder and interactions in a two-dimensional bulk topological insulator can generically drive its helical edge insulating. We establish this within the framework of helical Luttinger liquid theory and…

Strongly Correlated Electrons · Physics 2018-08-24 Yang-Zhi Chou , Rahul M. Nandkishore , Leo Radzihovsky