Magnetically Stabilized Order. II: Critical states and algebraically ordered nematic spin liquids in one-dimensional optical lattices

Abstract

We investigate the Zeeman-field-driven quantum phase transitions between singlet spin liquids and algebraically ordered O(2) nematic spin liquids of spin-one bosons in one-dimensional optical lattices. We find that the critical behavior is characterized by condensation of hardcore bosons instead of ideal magnons in high dimensional lattices. Critical exponents are strongly renormalized by hardcore interactions and critical states are equivalent to the free Fermion model up to the Friedal oscillations. We also find that the algebraically ordered nematic spin liquids close to critical points are fully characterized by the Luttinger liquid dynamics with Luttinger liquid parameters magnetically tunable. The Bethe Ansatz solution has been applied to determine the critical magnetization and nematic correlations.

12 pages, 1 figure, to be published in Physical Review B

References in corpus (6)

• Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases
• Microscopic Wave Functions of Spin Singlet and Nematic Mott States of Spin-One Bosons in High Dimensional Bipartite Lattices
• Spin Singlet Mott States and Evidence For Spin Singlet Quantum Condensates of Spin-One Bosons in Lattices
• Magnetization plateaus for spin-one bosons in optical lattices: Stern-Gerlach experiments with strongly correlated atoms
• Magnetically Stabilized Nematic Order I: Three-Dimensional Bipartite Optical Lattices
• Spin-one bosons in low dimensional Mott insulating states

Cited by in corpus (4)

• Tunable Luttinger liquid physics in biased bilayer graphene
• Quantum field theory of nematic transitions in spin orbit coupled spin-1 polar bosons
• Magnetodielectric effect of Bi6Fe2Ti3O18 film under an ultra-low magnetic field
• Achieving continuously tunable critical exponents for long-range spin systems simulated with trapped ions