Superconductivity in Mutual Chern-Simons Gauge Theory

Abstract

In this work, we present a topological characterization of superconductivity in a prototype electron fractionalization model for doped Mott insulators. In this model, spinons and holons are coupled via the mutual Chern-Simons gauge fields. We obtain a low-lying effective description of the collective current fluctuations by integrating out the matter fields, which replaces the conventional Ginzburg-Landau action to describe the generalized rigidity of superconductivity. The superconducting phase coherence is essentially characterized by a topological order parameter related to a Gaussian linking number, and an experiment is proposed to probe this topological property. We further show that a gauge-neutral fermionic mode can naturally emerge in this model, which behaves like a Bogoliubov quasiparticle.

13 pages, 5 figures

References in corpus (8)

• Topological BF field theory description of topological insulators
• Global phase diagrams of frustrated quantum antiferromagnets in two dimensions: doubled Chern-Simons theory
• On the sign structure of doped Mott insulators
• Mutual-Chern-Simons effective theory of doped antiferromagnets
• Superconducting ground state of a doped Mott insulator
• Phase String Theory for Doped Antiferromagnets
• Electron fractionalization and unconventional order parameters of the t-J model
• Mutual Chern-Simons Theory of Spontaneous Vortex Phase

Cited by in corpus (4)

• Composite Particle Theory of Three-dimensional Gapped Fermionic Phases: Fractional Topological Insulators and Charge-Loop Excitation Symmetry
• Monopoles, confinement and charge localization in the t-J model with dilute holes
• Self-dual Maxwell-Chern-Simons solitons in a parity-invariant scenario
• Vortices in a parity-invariant Maxwell-Chern-Simons model