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Spin-orbit interaction affects the band structure of topological insulators beyond the opening of an inverted gap in the bulk bands, and the understanding of its effects on the surface states is of primary importance to access the…

Mesoscale and Nanoscale Physics · Physics 2024-03-05 Denny Puntel , Simone Peli , Wibke Bronsch , Federico Cilento , Hubert Ebert , Jürgen Braun , Fulvio Parmigiani

We study the combined effects of lattice deformation, e-e interaction and spin-orbit coupling in a two-dimensional (2D) honeycomb lattice. We adopt different kinds of hopping modulation--generalized dimerization and a Kekule distortion--and…

Strongly Correlated Electrons · Physics 2015-03-09 F. Grandi , F. Manghi , O. Corradini , C. M. Bertoni

We perform an exact diagonalization study of the spin-$1/2$ XXZ Heisenberg antiferromagnet on the kagome lattice at finite magnetization $m = \frac{2}{3}$ with an emphasis on the XY point ($J_z = 0$), and in the presence of a small chiral…

Strongly Correlated Electrons · Physics 2016-10-18 Krishna Kumar , Hitesh J. Changlani , Bryan K. Clark , Eduardo Fradkin

We study the two-dimensional Kane-Mele-Hubbard model at half filling by means of quantum Monte Carlo simulations. We present a refined phase boundary for the quantum spin liquid. The topological insulator at finite Hubbard interaction…

Strongly Correlated Electrons · Physics 2012-03-30 M. Hohenadler , Z. Y. Meng , T. C. Lang , S. Wessel , A. Muramatsu , F. F. Assaad

Stabilizing exotic quantum phases of matter, e.g. spin liquid, is an attractive topic in condensed matter. Here, by a Monte Carlo study of a two-orbital spin-fermion model on a honeycomb lattice, we show the cooperative effects of the…

Strongly Correlated Electrons · Physics 2025-01-13 Kaidi Xu , Shan-Shan Wang , Rong Yu , Shuai Dong

Fermions hopping on a hexagonal lattice represent one of the most active research field in condensed matter since the discovery of graphene in 2004 and its numerous applications. Another exciting aspect of the interplay between geometry and…

Strongly Correlated Electrons · Physics 2016-11-29 Sylvain Capponi

Quantum spin liquid (QSL) has become an exciting topic in interacting spin systems that do not order magnetically down to the lowest experimentally accessible temperature; however, conclusive experimental evidence remains lacking. Motivated…

Strongly Correlated Electrons · Physics 2023-10-26 Saikat Banerjee , Wei Zhu , Shi-Zeng Lin

Using the tight-binding method in combination with first-principles calculations, we systematically derive a low-energy effective Hilbert subspace and Hamiltonian with spin-orbit coupling for two-dimensional hydrogenated and halogenated…

Materials Science · Physics 2014-12-10 Cheng-Cheng Liu , Shan Guan , Zhigang Song , Shengyuan A. Yang , Jinbo Yang , Yugui Yao

The low-energy effective Hamiltonian of three coupled spin chains with periodic boundary conditions (spin tube) is expressed, in the limit of strong interchain coupling, in terms of XXZ chains coupled by biquadratic exchange interaction. A…

Strongly Correlated Electrons · Physics 2009-10-31 E. Orignac , R. Citro , N. Andrei

We study the topological properties of a spin-orbit coupled Hofstadter model on the Kagome lattice. The model is time-reversal invariant and realizes a $\mathbb{Z}_2$ topological insulator as a result of artificial gauge fields. We develop…

Strongly Correlated Electrons · Physics 2021-05-04 Irakli Titvinidze , Julian Legendre , Maarten Grothus , Bernhard Irsigler , Karyn Le Hur , Walter Hofstetter

In condensed matter physics many features can be understood in terms of their topological properties. Here we report evidence of a topological quantum transition driven by the charge-phonon coupling in the spinless Haldane model on a…

Strongly Correlated Electrons · Physics 2019-07-31 L. M. Cangemi , A. S. Mishchenko , N. Nagaosa , V. Cataudella , G. De Filippis

Inspired by the recent discovery of a new instability towards a chiral phase of the classical Heisenberg model on the kagome lattice, we propose a specific chiral spin liquid that reconciles different, well-established results concerning…

Strongly Correlated Electrons · Physics 2012-06-06 Laura Messio , Bernard Bernu , Claire Lhuillier

We present a method for constructing parent Hamiltonians for the chiral spin liquid. We find two distinct Hamiltonians for which the chiral spin liquid on a square lattice is an exact zero-energy ground state. We diagonalize both…

Strongly Correlated Electrons · Physics 2015-05-13 Ronny Thomale , Eliot Kapit , Darrell F. Schroeter , Martin Greiter

In this paper, the honeycomb Hubbard model in optical lattices is investigated using O(3) non-linear sigma model. A possible quantum non-magnetic insulator in a narrow parameter region is found near the metal-insulator transition. We study…

Strongly Correlated Electrons · Physics 2015-04-28 Gao-Yong Sun , Su-Peng Kou

We establish the existence of a chiral spin liquid (CSL) as the exact ground state of the Kitaev model on a decorated honeycomb lattice, which is obtained by replacing each site in the familiar honeycomb lattice with a triangle. The CSL…

Strongly Correlated Electrons · Physics 2009-11-13 Hong Yao , Steven A. Kivelson

We propose in this work an effective field theory description of the chiral spin liquid state in Heisenberg spin system on kagom\'e lattice.To this end, we derive the low-energy effective theory of kagom\'e (isotropic) Heisenberg…

Strongly Correlated Electrons · Physics 2018-05-08 Imam Makhfudz

Chiral spin liquids, which break time-reversal symmetry, are of great interest due to their topological properties and fractionalized excitations (anyons). In this work, we investigate chiral spin liquids (CSL) on the kagome lattice arising…

Strongly Correlated Electrons · Physics 2026-01-19 Hee Seung Kim , Hyeok-Jun Yang , Karlo Penc , SungBin Lee

The physics of the triangular lattice Hubbard model exhibits a rich phenomenology, ranging from a metal-insulator transition, intriguing thermodynamic behavior, and a putative spin liquid phase at intermediate coupling, ultimately becoming…

We study the interplay of topological band structure and conventional magnetic long-range order in spinful Haldane model with onsite repulsive interaction. Using the dynamical cluster approximation with clusters of up to 24 sites we find…

Strongly Correlated Electrons · Physics 2016-07-07 Jakub Imriška , Lei Wang , Matthias Troyer

We investigate the nonequilibrium dynamics of the spinless Haldane model with nearest-neighbor interactions on the honeycomb lattice by employing an unbiased numerical method. In this system, a first-order transition from the Chern…

Strongly Correlated Electrons · Physics 2021-09-29 Can Shao , P. D. Sacramento , Rubem Mondaini