Symmetry breaking in low-dimensional SU(N) antiferromagnets

Abstract

Consequences of explicit symmetry breaking in a physically motivated model of SU(N) antiferromagnet in spatial dimensions one and two are studied. It is shown that the case N=3, which can be realized in spin-1 cold atom systems, displays special properties distinctly different from those for N>=4. Qualitative form of the phase diagram depending on the model parameters is given.

10 pages, 2 figures; added references, corrected fig.2; the final version to appear in PRB

References in corpus (23)

• "Deconfined" quantum critical points
• Nematic order in square lattice frustrated ferromagnets
• Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Spin Nematic Phase in S=1 Triangular Antiferromagnets
• Implementation of Spin Hamiltonians in Optical Lattices
• Spin nematic correlations in bilinear-biquadratic S=1 spin chains
• Classifying Novel Phases of Spinor Atoms
• Phase diagram of spin-1 bosons on one-dimensional lattices
• Superfluidity and magnetism in multicomponent ultracold fermions
• Valence bond solids for SU(n) spin chains: exact models, spinon confinement, and the Haldane gap
• Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
• Class of exactly solvable SO(n) symmetric spin chains with matrix product ground states
• Nematic Order by Disorder in Spin-2 BECs
• Spin dynamics and spin freezing behavior in the two-dimensional antiferromagnet NiGa${}_2$S${}_4$ revealed by Ga-NMR, NQR and $\mu$SR measurements
• Octupolar order in the multiple spin exchange model on a triangular lattice
• Entropic analysis of quantum phase transitions from uniform to spatially inhomogeneous phases
• Quantum spin nematics, dimerization, and deconfined criticality in quasi-one dimensional spin-1 magnets
• Ground States of the SU(N) Heisenberg Model
• Dimer-Quadrupolar Quantum Phase Transition in the Quasi-One-Dimensional Heisenberg Model with Biquadratic Interaction
• Pairing of Solitons in Two-Dimensional S=1 Magnets
• Quantum critical scaling behavior of deconfined spinons
• Critical Behavior of CP^1 at theta = pi, Haldane's Conjecture and the Universality Class

Cited by in corpus (7)

• SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations
• The bilinear-biquadratic spin-1 chain undergoing quadratic Zeeman effect
• Dynamics and relaxation in spin nematics
• Mott-insulator phases of spin-3/2 fermions in the presence of quadratic Zeeman coupling
• SU(3) symmetry in theory of a weakly interacting gas of spin-1 atoms with Bose-Einstein condensate
• $SU(N)\to SU(2)$ symmetry breaking in quantum antiferromagnets
• Separation of quadrupole, spin, and charge across the magnetic phases of a one-dimensional interacting spin-1 gas