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We investigate magnetic phase in the bilayer system of ultra-cold bosons in an optical lattice, which is involved with Raman-induced spin-orbit (SO) coupling and laser-assisted interlayer tunneling. It is shown that there exit a rich of…

Quantum Gases · Physics 2016-12-21 Bo Xiong , Jun-hui Zheng , Yu-Ju Lin , Daw-wei Wang

We numerically study the SU(2)$\otimes$SU(2) symmetric spin-orbit coupled model as a lower symmetric generalization of the SU(4) exchange model. On the symmetric line with respect to the spin and orbit, our result shows the essentially…

Strongly Correlated Electrons · Physics 2009-10-31 Yasufumi Yamashita , Naokazu Shibata , Kazuo Ueda

We study ultracold bosonic atoms with the synthetic three-dimensional spin-orbit (SO) coupling in a cubic optical lattice. In the superfluidity phase, the lowest energy band exhibits one, two or four pairs of degenerate single-particle…

Quantum Gases · Physics 2013-07-15 Dan-Wei Zhang , Ji-Pei Chen , Chuan-Jia Shan , Z. D. Wang , Shi-Liang Zhu

We study the spin squeezing in a spin-1/2 Bose-Einstein condensates (BEC) with Raman induced spin-orbit coupling (SOC). Under the condition of two-photon resonance and weak Raman coupling strength, the system possesses two degenerate ground…

Quantum Gases · Physics 2020-08-26 Li Chen , Yunbo Zhang , Han Pu

Spin-orbit coupling (SOC) is a fundamental interaction in solids which can induce a broad spectrum of unusual physical properties from topologically non-trivial insulating states to unconventional pairing in superconductors. In iron-based…

In this article, the modified Kane-Mele Hamiltonian is derived for graphene with wedge disclination and spin orbit couplings (intrinsic and Rashba). The wedge disclination changes the flat lattice into the conical lattice and hence modifies…

Mesoscale and Nanoscale Physics · Physics 2015-01-21 Tarun Choudhari , Nivedita Deo

Motivated by the recent experimental success in realizing synthetic spin-orbit coupling in ultracold atomic systems, we consider N-component atoms coupled to a non-Abelian SU(N) gauge field. More specifically, we focus on the case, referred…

Quantum Gases · Physics 2012-12-06 Ryan Barnett , G. R. Boyd , Victor Galitski

It was recently found that the spin-orbit (SO) coupling can help to create stable matter-wave solitons in spinor Bose-Einstein condensates in the two-dimensional (2D) free space. Being induced by external laser illumination, the effective…

Pattern Formation and Solitons · Physics 2019-03-15 Yongyao Li , Xiliang Zhang , Rongxuan Zhong , Zhihuan Luo , Bin Liu , Chunqing Huang , Wei Pang , Boris A. Malomed

We investigate the effects of Rashba spin-orbit interactions on the electronic band-structure and corresponding wave-functions of graphene. By exactly solving a tight-binding model Hamiltonian we obtain the expected splitting of the bands…

Mesoscale and Nanoscale Physics · Physics 2009-05-08 Mahdi Zarea , Nancy Sandler

We consider the superconducting and Mott-insulating states for the twisted bilayer graphene, modeled as two narrow-band system of electrons with appreciable intraatomic Coulomb interactions. The interaction induces kinetic exchange which…

Superconductivity · Physics 2018-08-29 Maciej Fidrysiak , Michał Zegrodnik , Józef Spałek

The boundary effects affecting the Hamiltonian for the nanocone with curvatureinduced spin orbit coupling were considered and the corresponding electronic structure was calculated. These boundary effects include the spin orbit coupling, the…

Mesoscale and Nanoscale Physics · Physics 2017-05-15 J. Smotlacha , R. Pincak

Rhombohedral graphene multilayers host various broken-symmetry metallic phases as well as superconductors whose pairing mechanism and order parameter symmetry remain unsettled. Strikingly, experiments have revealed prominent new…

Superconductivity · Physics 2025-07-08 Zhiyu Dong , Étienne Lantagne-Hurtubise , Jason Alicea

We study electronic, charge, and magnetic properties of twisted bilayer graphene with fillings $2\leq n\leq 6$ per moire unit cell within the recently introduced formulation of extended dynamical mean-field theory (E-DMFT) for…

Strongly Correlated Electrons · Physics 2022-09-30 A. A. Katanin

We develop an atomistic, nearest-neighbor sp3s* tight-binding Hamiltonian to investigate the electronic structure of dilute bismide alloys of GaP and GaAs. Using this model we calculate that the incorporation of dilute concentrations of Bi…

Materials Science · Physics 2011-12-12 Muhammad Usman , Christopher A. Broderick , Andrew Lindsay , Eoin P. O'Reilly

We study the effect of impurities in inducing spin-orbit coupling in graphene. We show that the sp3 distortion induced by an impurity can lead to a large increase in the spin-orbit coupling with a value comparable to the one found in…

Materials Science · Physics 2013-05-29 A. H. Castro Neto , F. Guinea

In this work, results are presented of Hybrid-Monte-Carlo simulations of the tight-binding Hamiltonian of graphene, coupled to an instantaneous long-range two-body potential which is modeled by a Hubbard-Stratonovich auxiliary field. We…

High Energy Physics - Lattice · Physics 2013-11-06 Dominik Smith , Lorenz von Smekal

We perform a comparative study of the spin relaxation by spin-orbit coupling induced from adatoms (hydrogen and fluorine) in graphene. Two methods are applied, giving consistent results: a full quantum transport simulation of a graphene…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 Jan Bundesmann , Denis Kochan , Fedor Tkatschenko , Jaroslav Fabian , Klaus Richter

Research on graphene has revealed remarkable phenomena arising in the honeycomb lattice. However, the quantum spin Hall effect predicted at the K point could not be observed in graphene and other honeycomb structures of light elements due…

Mesoscale and Nanoscale Physics · Physics 2015-03-23 W. Beugeling , E. Kalesaki , C. Delerue , Y. -M. Niquet , D. Vanmaekelbergh , C. Morais Smith

We report the direct observation of interband spin-orbit (SO) coupling in a two-dimensional (2D) surface electron system, in addition to the anticipated Rashba spin splitting. Using angle-resolved photoemission experiments and…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Hendrik Bentmann , Samir Abdelouahed , Mattia Mulazzi , Juergen Henk , Friedrich Reinert

We introduce and study a minimum two-orbital Hubbard model on a triangular lattice, which captures the key features of both the trilayer ABC-stacked graphene-boron nitride heterostructure and twisted transition metal dichalcogenides in a…

Strongly Correlated Electrons · Physics 2019-07-17 Constantin Schrade , Liang Fu