Exotic Spin Phases in Two Dimensional Spin-orbit Coupled Models: Importance of Quantum Fluctuation Effects

Abstract

We investigate the phase diagrams of the effective spin models derived from Fermi-Hubbard and Bose-Hubbard models with Rashba spin-orbit coupling, using string bond states, one of the quantum tensor network states methods. We focus on the role of quantum fluctuation effect in stabilizing the exotic spin phases in these models. For boson systems, and when the ratio between inter-particle and intra-particle interaction $\lambda >1$, the out-of-plane ferromagnetic (FM) and antiferromagnetic (AFM) phases obtained from quantum simulations are the same to those obtained from classic model. However, the quantum order-by-disorder effect reduces the classical in-plane XY-FM and XY-vortex phases to the quantum X/Y-FM and X/Y-stripe phase when $\lambda <1$. The spiral phase and skyrmion phase can be realized in the presence of quantum fluctuation. For the Fermi-Hubbard model, the quantum fluctuation energies are always important in the whole parameter regime. %, which are much larger than those of the Bose model. A general picture to understand the phase diagrams from symmetry point of view is also presented.

References in corpus (20)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Spontaneous Skyrmion Ground States in Magnetic Metals
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity
• Tunable Spin-Orbit Coupling via Strong Driving in Ultracold Atom Systems
• Effect of Induced Spin-Orbit Coupling for Atoms via Laser Fields
• Dicke-type phase transition in a spin-orbit coupled Bose-Einstein condensate
• Variational quantum Monte Carlo simulations with tensor-network states
• Cooling in strongly correlated optical lattices: prospects and challenges
• Exotic quantum spin models in spin-orbit-coupled Mott insulators
• Strings, Projected Entangled Pair States, and variational Monte Carlo methods
• Spin-Orbit Coupling and Spin Textures in Optical Superlattices
• Theory of electromagnon in the multiferroic Mn perovskites: Vital role of higher harmonic components of the spiral spin order
• Tunneling frustration induced peculiar supersolid phases in the extended Bose-Hubbard model
• Replica exchange molecular dynamics optimization of tensor network states for quantum many-body systems

Cited by in corpus (3)

• Thermally assisted Skyrmion drag in a nonuniform electric field
• Projected entangled pair states study of anisotropic-exchange magnets on triangular lattice
• Weyl semimetallic, Néel, spiral, and vortex states in the Rashba-Hubbard model