Mutual-Chern-Simons effective theory of doped antiferromagnets

Abstract

A mutual-Chern-Simons Lagrangian is derived as a minimal field theory description of the phase-string model for doped antiferromagnets. Such an effective Lagrangian is shown to retain the full symmetries of parity, time-reversal, and global SU(2) spin rotation, in contrast to conventional Chern-Simons theories where first two symmetries are usually broken. Two ordered phases, i.e., antiferromagnetic and superconducting states, are found at low temperatures as characterized by dual Meissner effects and dual flux quantization conditions due to the mutual-Chern-Simons gauge structure. A dual confinement in charge/spin degrees of freedom occurs such that no true spin-charge separation is present in these ordered phases, but the spin-charge separation/deconfinement serves as a driving force in the unconventional phase transitions of these ordered states to disordered states.

16 pages, 2 figures; published version

References in corpus (4)

• "Deconfined" quantum critical points
• Topological Gauge Structure and Phase Diagram for Weakly Doped Antiferromagnets
• Theory of spin response in underdoped cuprates as strongly fluctuating d-wave superconductors
• Effective charge of a deconfined slave particle: Comment on ``Confinement of Slave Particles in U(1) Gauge Theories of Strongly Interacting Electrons''

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• Sign Structure, Electron Fractionalization, and Emergent Gauge Description of the Hubbard Model
• Spin Hall effect in a Doped Mott Insulator
• Lower Pseudogap Phase: A Spin/Vortex Liquid State
• Mutual Chern-Simons Theory of Spontaneous Vortex Phase
• Bosonic resonating valence bond wave function for doped Mott insulators
• Spin-charge Separation in Nodal Antiferromagnetic Insulator
• Charge carriers with fractional exclusion statistics in cuprates
• Quantum topological transitions and spinons in metallic ferro- and antiferromagnets
• Thermal Hall Effect and Neutral Spinons in a Doped Mott Insulator
• Mottness, Phase String, and High-$T_c$ Superconductivity
• Electric transport in doped Mott insulators dictated by a non-Ioffe-Larkin composition rule and spinons
• Intrinsic phase fluctuation and superfluid density in doped Mott insulators
• Effect of phase string on single-hole dynamics in the two-leg Hubbard ladder
• Self-dual Maxwell-Chern-Simons solitons in a parity-invariant scenario
• Vortices in a parity-invariant Maxwell-Chern-Simons model
• Terahertz nonlinear response in cuprate superconductors and the Higgs field in doped Mott insulators