arXiv:cond-mat/9410068 · Physical review. B, Condensed matter

Thermal properties of gauge fields common to anyon superconductors and spin liquids

Jose Rodriguez

Published Apr 1, 1995• 3 citations

Abstract

The thermally driven confinement-deconfinement transition exhibited by lattice quantum electrodynamics in two space dimensions is reexamined in the context of the statistical gauge fields common to anyon superconductors and to spin liquids. Particle-hole excitations in both systems are bound by a confining string at temperatures below the transition temperature ${\mathit{T}}_{\mathit{c}}$. We argue that ${\mathit{T}}_{\mathit{c}}$ coincides with the actual critical temperature for anyon superconductivity. The corresponding specific-heat contribution, however, shows a smooth peak just below ${\mathit{T}}_{\mathit{c}}$ characteristic of certain high-temperature superconductors.

DOI: 10.1103/physrevb.51.9348

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arXiv:cond-mat/9410068 · Physical review. B, Condensed matter

Thermal properties of gauge fields common to anyon superconductors and spin liquids

Jose Rodriguez

Published Apr 1, 1995• 3 citations

arXiv HTML PDF

Abstract

{\mathit{T}}_{\mathit{c}}

. We argue that

{\mathit{T}}_{\mathit{c}}

coincides with the actual critical temperature for anyon superconductivity. The corresponding specific-heat contribution, however, shows a smooth peak just below

{\mathit{T}}_{\mathit{c}}

characteristic of certain high-temperature superconductors.

DOI: 10.1103/physrevb.51.9348

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arXiv:1303.0851Physical Review BDec 18, 201319 citations

{\mathit{T}}_{\mathit{c}}

. We argue that

{\mathit{T}}_{\mathit{c}}

coincides with the actual critical temperature for anyon superconductivity. The corresponding specific-heat contribution, however, shows a smooth peak just below

{\mathit{T}}_{\mathit{c}}

characteristic of certain high-temperature superconductors.

Deconfined Thermal Phase Transitions with

Z_2

Gauge Structures

Z_2

lattice gauge model with strong interactions between

Z_2

gauge fluxes, we prove the existence of a thermal phase transition between deconfined and confined phases in two spatial dimensions in sharp contrast to its absence in the Wegner model. Incorporating deconfined fermions, it is shown that gapless excitations from Fermi surfaces endow line-tension to

Z_2

gauge fluxes at zero temperature, and we argue that a deconfined thermal transition with deconfined fermions may be interpreted as a hidden order transition with thermal gap-opening in Fermi surfaces. Moreover, it is shown that symmetry breaking transitions in deconfined phases may be unconventional. Global

Z_2

and

U(1)

symmetry breaking transitions in deconfined phases may be in the same universality class, which is impossible under the conventional Landau-Ginzburg-Wilson paradigm. Characteristic signatures of the transitions in experiments and candidate strongly correlated systems such as Kitaev materials are also discussed.

{\mathbb{Z}}_{p}

lattice gauge theories) to the Walker-Wang Hamiltonians, driving a transition in which all or some of the variables associated with the loop-gas or string-net ground states of these models become confined. We show that in many cases the location and nature of the phase transitions involved is exactly that of a generalized

{\mathbb{Z}}_{p}

lattice gauge theory, and use this to deduce the basic structure of the phase diagram. We further show that the relationship between the phases on opposite sides of the transition is fundamentally different than in conventional gauge theories: in the Walker-Wang case, the number of species of excitations that are deconfined in the bulk can increase across a transition that confines only some of the species of loops or string nets. The analog of the confining transition in the Walker-Wang models can therefore lead to bulk deconfinement and topological order.