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Starting from a realistic extended Hubbard model for a $p_{x,y}$-orbital tight-binding model on the Honeycomb lattice, we perform a thorough investigation on the possible electron instabilities in the MA-TBG near the van Hove (VH) dopings.…

Strongly Correlated Electrons · Physics 2022-08-01 Chen Lu , Yongyou Zhang , Yu Zhang , Ming Zhang , Cheng-Cheng Liu , Yu Wang , Zheng-Cheng Gu , Wei-Qiang Chen , Fan Yang

Motivated by the recent discovery of a spin liquid phase for the Hubbard model on the honeycomb lattice at half-filling, we apply both perturbative and non-perturbative techniques to derive effective spin Hamiltonians describing the…

Strongly Correlated Electrons · Physics 2012-12-05 H-Y. Yang , A. F. Albuquerque , S. Capponi , A. M. Läuchli , K. P. Schmidt

We reexamine the ground-state phase diagram of the one-dimensional half-filled Hubbard model with on-site and nearest-neighbor repulsive interactions. We calculate second-order corrections to coupling constants in the g-ology to show that…

Strongly Correlated Electrons · Physics 2009-11-07 M. Tsuchiizu , A. Furusaki

The generalized tight-binding model, being based on the spin-dependent sublattices, is developed to explore the magnetic quantization of monolayer bismuthene. The sp$^{3}$ orbital hybridizations, site energies, nearest and next-nearest…

Materials Science · Physics 2017-09-12 Szu-Chao Chen , Jhao-Ying Wu , Ming-Fa Lin

We study the effects of doping the Kitaev model on the honeycomb lattice where the spins interact via the bond-directional interaction $J_K$, which is known to have a quantum spin liquid as its exact ground state. The effect of hole doping…

Strongly Correlated Electrons · Physics 2021-07-08 Cheng Peng , Yi-Fan Jiang , Thomas P. Devereaux , Hong-Chen Jiang

We investigate the interplay between topological effects and Mott physics in two dimensions on a graphene-like lattice, via a tight-binding model containing an anisotropic spin-orbit coupling on the next-nearest-neighbour links and the…

Strongly Correlated Electrons · Physics 2015-06-16 Tianhan Liu , Benoît Douçot , Karyn Le Hur

We study interaction effect of quantum spin Hall state in InAs/GaSb quantum wells under an in-plane magnetic field by using the self-consistent mean field theory. We construct a phase diagram as a function of intra-layer and inter-layer…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Lun-Hui Hu , Chih-Chieh Chen , Chao-Xing Liu , Fu-Chun Zhang , Yi Zhou

We discuss the magnetic phases of the Hubbard model for the honeycomb lattice both in two and three spatial dimensions. A ground state phase diagram is obtained depending on the interaction strength U and electronic density n. We find a…

Strongly Correlated Electrons · Physics 2016-08-31 N. M. R. Peres , M. A. N. Araujo , Daniel Bozi

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

We study the Kane-Mele-Hubbard model with an additional inversion-symmetry-breaking term. Using the topological Hamiltonian approach, we calculate the $\mathbb{Z}_2$ invariant of the system as function of spin-orbit coupling, Hubbard…

Strongly Correlated Electrons · Physics 2016-12-14 Robert Triebl , Markus Aichhorn

We calculate the effect of spin waves on the properties of finite size spin chains with a chiral spin ground state observed on bi-atomic Fe chains deposited on Iridium(001). The system is described with a Heisenberg model supplemented with…

Mesoscale and Nanoscale Physics · Physics 2015-02-09 A. Roldán-Molina , M. J. Santander , Á. S. Núñez , J. Fernández-Rossier

We study the rare-earth magnets on a honeycomb lattice, and are particularly interested in the experimental consequences of the highly anisotropic spin interaction due to the spin-orbit entanglement. We perform a high-temperature series…

Strongly Correlated Electrons · Physics 2020-10-06 Zhu-Xi Luo , Gang Chen

The low-energy properties of the two-dimensional Heisenberg model with spin-$\frac{1}{2}$ on a square lattice are investigated on the basis of the local dimer order. The lattice is divided into square blocks consisting of the quartet of…

Condensed Matter · Physics 2015-06-25 V. I. Belinicher , L. V. Popovich

The nature of spin density wave (SDW) and charge density wave (CDW) in the mixed state of high T_c superconductors (HTS) is investigated by using the self-consistent Bogoliubov-de Gennes equations and an effective model Hamiltonian with…

Superconductivity · Physics 2009-11-07 Yan Chen , H. Y. Chen , C. S. Ting

The physical nature of doped Mott-insulator has been intensively studied for more than three decades. It is well known that the single band Hubbard model or $t$-$J$ model on the bipartite lattice is the simplest model to describe a doped…

Strongly Correlated Electrons · Physics 2023-01-09 Jian-Jian Miao , Zheng-Yuan Yue , Hao Zhang , Wei-Qiang Chen , Zheng-Cheng Gu

We investigate the possibility of unconventional spin density wave (SDW) in the attractive Hubbard model with finite spin polarization. We show that pairing and density fluctuations induce the transverse d-wave SDW near the half-filling.…

Materials Science · Physics 2015-05-13 H. Tamaki , K. Miyake , Y. Ohashi

Spin valves consisting of heterostructures of single-layer hexagonal crystal on an antiferromagnetic substrate or of bilayer hexagonal crystal intercalated between two (anti)ferromagnetic insulators, with the current-in-plane geometry, are…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Ma Luo

Emergence of topological states in strongly correlated systems, particularly two-dimensional (2D) transition-metal dichalcogenides, offers a platform for manipulating electronic properties in quantum materials. However, a comprehensive…

We investigate the new quantum phases on the extended Kane-Mele-Hubbard model of honeycomb lattice in the Hofstadter regime. In this regime, orbital motion of the electrons can induce various topological phases with spontaneously broken…

Strongly Correlated Electrons · Physics 2018-12-19 Archana Mishra , SungBin Lee

To determine the impact of including edge states on the phase diagram of a spinless Falicov-Kimball model (FKM) on the Haldane lattice, a study of a corresponding ribbon geometry with zigzag edges is conducted. By varying the ribbon widths,…

Strongly Correlated Electrons · Physics 2022-09-05 Jan Skolimowski
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