Exotic continuous quantum phase transition between Z2 topological spin liquid and Neel order

Abstract

Recent numerical simulations with different techniques have all suggested the existence of a continuous quantum phase transition between the Z2 topological spin liquid phase and a conventional Neel order. Motivated by these numerical progresses, we propose a candidate theory for such Z2-Neel transition. We first argue on general grounds that, for a SU(2) invariant system, this transition cannot be interpreted as the condensation of spinons in the Z2 spin liquid phase. Then we propose that such Z2-Neel transition is driven by proliferating the bound state of the bosonic spinon and vison excitation of the Z2 spin liquid, i.e. the so called (e, m)-type excitation. Universal critical exponents associated with this exotic transition are computed using 1/N expansion. This theory predicts that at the Z2-Neel transition, there is an emergent quasi long range power law correlation of columnar valence bond solid order parameter.

7 pages, 2 figures

References in corpus (17)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Scaling in the Fan of an Unconventional Quantum Critical Point
• Emergence of inhomogeneous moments from spin liquid in the triangular-lattice Mott insulator $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• Quantum criticality of U(1) gauge theories with fermionic and bosonic matter in two spatial dimensions
• Global phase diagrams of frustrated quantum antiferromagnets in two dimensions: doubled Chern-Simons theory
• Possible ferro-spin nematic order in NiGa2S4
• Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets
• Mutual Chern-Simons theory for Z_2 topological order
• $Z_2$ spin liquid and chiral antiferromagnetic phase in Hubbard model on the honeycomb lattice: duality between Schwinger-fermion and Schwinger-boson representations
• Spin liquids on a honeycomb lattice: Projective Symmetry Group study of Schwinger fermion mean-field theory
• Dynamics and transport of the Z_2 spin liquid: application to kappa-(ET)2Cu2(CN)3
• Spin liquid phase in a $S=1/2$ quantum magnet on the kagome lattice
• Exotic phase diagram of a cluster charging model of bosons on the kagome lattice

Cited by in corpus (18)

• Critical level crossings and gapless spin liquid in the square-lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg antiferromagnet
• Frustration and quantum criticality
• Phase diagram of spin-1/2 J1-J2 Heisenberg model on honeycomb lattice
• Quantum Phase Transition in Heisenberg-Kitaev Model
• Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model
• Plaquette valence-bond solid in the square lattice J1-J2 antiferromagnet Heisenberg model: a bond operator approach
• Emergent honeycomb lattice in LiZn2Mo3O8
• Statistical physics through the lens of real-space mutual information
• Continuous phase transition from Néel state to Z_2 spin liquid state on a square lattice
• Soluble limit and criticality of fermions in Z2 gauge theories
• Chern-Simons superconductors and their instabilities
• Phases and phase transitions of a perturbed Kekulé-Kitaev model
• Phases and Quantum Phase Transitions in an Anisotropic Ferromagnetic Kitaev-Heisenberg-$\Gamma$ Magnet
• Nature of continuous phase transitions in interacting topological insulators
• Decorated defect condensate, a window to unconventional quantum phase transitions in Weyl semimetals
• String order parameters for symmetry fractionalization in an enriched toric code
• Deconfined criticality as intrinsically gapless topological state in one dimension
• Fermionic skyrmions and bosonization for a Gross-Neveu transition