Anatomy of Z2 fluxes in anyon Fermi liquids and Bose condensates

Abstract

We study in detail the properties of pi-fluxes embedded in a state with a finite density of anyons that form either a Fermi liquid or a Bose-Einstein condensate. By employing a recently developed exact lattice bosonization in 2D, we demonstrate that such pi-flux remains a fully deconfined quasiparticle with a finite energy cost in a Fermi liquid of emergent fermions coupled to a Z2 gauge field. This pi-flux is accompanied by a screening cloud of fermions, which in the case of a Fermi gas with a parabolic dispersion binds exactly 1/8 of a fermionic hole. In addition there is a long-ranged power-law oscillatory disturbance of the liquid surrounding the pi-flux akin to Friedel oscillations. These results carry over directly to the pi-flux excitations in orthogonal metals. In sharp contrast, when the pi-flux is surrounded by a Bose-Einstein condensate of particles coupled to a Z2 gauge field, it binds a superfluid half-vortex, becoming a marginally confined excitation with a logarithmic energy cost divergence.

18 pages, 17 figures

References in corpus (10)

• Classification of topological insulators and superconductors in three spatial dimensions
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• On the stability of U(1) spin liquids in two dimensions
• Exact results on the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
• Majorana Fermions, Exact Mappings between Classical and Topological Orders
• Mutual Chern-Simons theory for Z_2 topological order
• Simple ${\mathbb{Z}}_2$ lattice gauge theories at finite fermion density
• Nature of the Quantum Phase Transition in Quantum Compass Model
• Arbitrary Dimensional Majorana Dualities and Network Architectures for Topological Matter
• Chern-Simons theory of the magnetization plateaus of the spin-1/2 quantum XXZ Heisenberg model on Kagome Lattice

Cited by in corpus (8)

• Quantum phases of two-dimensional ${\mathbb{Z}}_2$ gauge theory coupled to single-component fermion matter
• Nature of visons in the perturbed ferromagnetic and antiferromagnetic Kitaev honeycomb models
• Theory of weak symmetry breaking of translations in ${\mathbb{Z}}_2$ topologically ordered states and its relation to topological superconductivity from an exact lattice ${\mathbb{Z}}_2$ charge-flux attachment
• Berry Phases of Vison Transport in ${\mathbb{Z}}_2$ Topologically Ordered States from Exact Fermion-Flux Lattice Dualities
• Bosonization of Majorana modes and edge states
• Wegner's Ising gauge spins versus Kitaev's Majorana partons: Mapping and application to anisotropic confinement in spin-orbital liquids
• Projected Entangled Pair States for Lattice Gauge Theories with Dynamical Fermions
• Jordan-Wigner composite-fermion liquids in 2D quantum spin-ice