# Phase diagram of the strongly correlated Kane-Mele-Hubbard model

@article{Vaezi2012PhaseDO, title={Phase diagram of the strongly correlated Kane-Mele-Hubbard model}, author={Abolhassan Vaezi and Mahdi Mashkoori and Mehdi Hosseini}, journal={Physical Review B}, year={2012}, volume={85}, pages={195126} }

We explore the phase diagram of the strongly correlated Hubbard model with intrinsic spin orbit coupling on the honeycomb lattice. We obtain the low energy effective model describing the spin degree of freedom. We study the resulting model within the Schwinger boson and Schwinger fermion approaches. The Schwinger boson approach gives the boundary between the spin liquid phase and the magnetically ordered phases, Neel order and incommensurate Neel order. We find that increasing the strength of… Expand

#### 13 Citations

Phase transitions of the Kane-Mele-Hubbard model with a long-range hopping.

- Physics, Medicine
- Journal of physics. Condensed matter : an Institute of Physics journal
- 2018

From the single-particle energy spectrum, the critical strength of the long-range hopping t L at which the topological transition occurs in the non-interacting limit of the model is obtained and results show that it is independent of the spin-orbit coupling. Expand

THE CHARACTERIZATION OF TOPOLOGICAL PROPERTIES IN QUANTUM MONTE CARLO SIMULATIONS OF THE KANE–MELE–HUBBARD MODEL

- Physics
- 2013

Topological insulators present a bulk gap, but allow for dissipationless spin transport along the edges. These exotic states are characterized by the Z2 topological invariant and are protected by… Expand

Axionic Antiferromagnetic Insulator Phase in a Correlated and Spin–Orbit Coupled System

- Physics
- 2014

We study theoretically a three-dimensional correlated and spin–orbit coupled system, the half-filled extended Fu–Kane–Mele–Hubbard model on a diamond lattice, focusing on the topological… Expand

Antiferromagnetic Chern Insulators in Noncentrosymmetric Systems.

- Physics, Medicine
- Physical review letters
- 2018

An easy z axis C=1 AFCI phase and a spin-flop transition to a topologically trivial xy plane collinear antiferromagnet is found and proposed experimental realizations of the AFCI and QAHE in correlated electron materials and cold atom systems are proposed. Expand

Ultrafast control of spin interactions in honeycomb antiferromagnetic insulators

- Physics
- Physical Review B
- 2019

Light enables ultrafast, direct and nonthermal control of the exchange and Dzyaloshinskii-Moriya interactions. We consider two-dimensional honeycomb lattices described by the Kane-Mele-Hubbard model… Expand

Phase diagram of a frustrated Heisenberg antiferromagnet on the honeycomb lattice: The J 1-J 2-J 3 model

- Physics
- 2012

We use the coupled-cluster method in high orders of approximation to make a comprehensive study of the ground-state (GS) phase diagram of the spin-1/2 J1-J2-J3 model on a two-dimensional honeycomb… Expand

Valence bond phases in S = 1/2 Kane-Mele-Heisenberg model.

- Chemistry, Physics
- Journal of physics. Condensed matter : an Institute of Physics journal
- 2014

The phase diagram of the Kane-Mele-Heisenberg model in a classical limit [47] contains disordered regions in the coupling space, as the result of competition between different terms in the… Expand

The competition between the intrinsic and Rashba spin-orbit coupling and effects of correlations on Rashba SOC-driven transitions in the Kane-Mele model.

- Medicine, Physics
- Journal of physics. Condensed matter : an Institute of Physics journal
- 2020

The competition between the Rashba spin-orbit coupling (SOC) and the intrinsic SOC in Kane-Mele model is investigated and the influences of the correlation on the RashBA SOC-driven topologically trivial and non-trivial transitions in both the charge condensate and Mott regions are investigated. Expand

Correlation effects in two-dimensional topological insulators.

- Physics, Medicine
- Journal of physics. Condensed matter : an Institute of Physics journal
- 2013

This article reviews progress on the topic of electronic correlation effects in the two-dimensional case, with a focus on systems with intrinsic spin-orbit coupling and numerical results. Expand

Magnetic Chern Insulators in a monolayer of Transition Metal Trichalcogenides

- Materials Science, Physics
- Scientific Reports
- 2017

It is shown that the interplay of intrinsic spin-orbit coupling and electron correlation opens a wide region of ferromagnetic Chern insulating phases in between metals and normal insulators. Expand