Z_3 Quantum Criticality in a spin-1/2 chain model

Abstract

The stability of the magnetization $m=1/3$ plateau phase of the XXZ spin-1/2 Heisenberg chain with competing interactions is investigated upon switching on a staggered transverse magnetic field. Within a bosonization approach, it is shown that the low-energy properties of the model are described by an effective two-dimensional XY model in a three-fold symmetry-breaking field. A phase transition in the three-state Potts universality class is expected separating the $m=1/3$ plateau phase to a phase where the spins are polarized along the staggered magnetic field. The Z${}_3$ critical properties of the transition are determined within the bosonization approach.

5 pages, revised version

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Cited by in corpus (15)

• Superconducting analogue of the parafermion fractional quantum Hall states
• Magnetic phase diagram of the spin-1/2 antiferromagnetic zigzag ladder
• Condensation of magnons and spinons in a frustrated ladder
• Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated Heisenberg Chains
• Dynamical correlations and quantum phase transition in the quantum Potts model
• Magnetization plateaux induced by a coupling to the lattice
• Exotic Quantum Criticality in One-Dimensional Coupled Dipolar Bosons Tubes
• Enhancement of magnetization plateaus in low dimensional spin systems
• Field-induced Berezinskii-Kosterlitz-Thouless transition and string-density plateau in the anisotropic triangular antiferromagnetic Ising model
• Excitations with fractional spin less than 1/2 in frustrated magnetoelastic chains
• Phase Diagram of the Square-Lattice Three-State Potts Antiferromagnet with Staggered Polarization Field
• Fractional S^z excitation and its bound state for the S=1/2 antiferromagnetic zigzag spin chain in a magnetic field
• Spin-Peierls-like phases in magnetoelastic $J_1-J_2$ antiferromagnetic chain at 1/3 magnetization
• Quantum phase transitions in trimerized zig-zag spin ladders
• Coexisting orders in the quarter-filled Hubbard chain with elastic deformations