Quantum Phase Transitions beyond the Landau's Paradigm in Sp(4) Spin System

Abstract

We propose quantum phase transitions beyond the Landau's paradigm of Sp(4) spin Heisenberg models on the triangular and square lattices, motivated by the exact Sp(4)$\simeq$ SO(5) symmetry of spin-3/2 fermionic cold atomic system with only $s-$wave scattering. On the triangular lattice, we study a phase transition between the $\sqrt{3}\times \sqrt{3}$ spin ordered phase and a $Z_2$ spin liquid phase, this phase transition is described by an O(8) sigma model in terms of fractionalized spinon fields, with significant anomalous scaling dimensions of spin order parameters. On the square lattice, we propose a deconfined critical point between the Neel order and the VBS order, which is described by the CP(3) model, and the monopole effect of the compact U(1) gauge field is expected to be suppressed at the critical point.

6 pages, 3 figures

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Cited by in corpus (7)

• SU($N$) spin-wave theory: Application to spin-orbital Mott insulators
• Effective field theory for Sp(N) antiferromagnets and its phase structure
• The role of spin-orbit coupling in topologically protected interface states in Dirac materials
• Magnetic phases of spin-3/2 fermions on a spatially anisotropic square lattice
• Theory of spin nematic to spin-Peierls quantum phase transition in ultracold spin-1 atoms in optical lattices
• Low Energy Effective Field Theories of Sp(4) Spin systems
• Haldane's Instanton in 2D Heisenberg model revisited: along the Avenue of Topology