The quantum smectic as a dislocation Higgs phase

Abstract

The theory describing quantum-smectics in 2+1 dimensions, based on topological quantum melting is presented. This is governed by a dislocation condensate characterized by an ordering of Burger's vector and this `dual shear superconductor' manifests itself in the form of a novel spectrum of phonon-like modes.

5 pages, 3 figures; minor changes in the text

References in corpus (7)

• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• Quantum Theory of the Smectic Metal State in Stripe Phases
• Quantum Theory of Quantum-Hall Smectics
• Duality in 2+1D Quantum Elasticity: superconductivity and Quantum Nematic Order
• Anomalous scaling dimensions and stable charged fixed-point of type-II superconductors
• World Nematic Crystal Model of Gravity Explaining the Absence of Torsion
• Topological kinematic constraints: quantum dislocations and the glide principle

Cited by in corpus (9)

• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Topological Defects Coupling Smectic Modulations to Intra-unit-cell Nematicity in Cuprate
• Dual gauge field theory of quantum liquid crystals in two dimensions
• Dual gauge field theory of quantum liquid crystals in three dimensions
• Observing the fluctuating stripes in high Tc superconductors
• Classification of nematic order in 2+1D: Dislocation melting and $O(2)/Z_N$ lattice gauge theory
• Condensing Nielsen-Olesen strings and the vortex-boson duality in 3+1 and higher dimensions
• The emergence of gauge invariance: the stay-at-home gauge versus local-global duality
• Deconfining the rotational Goldstone mode: the superconducting nematic liquid crystal in 2+1D