Quantum Confinement Transition and Cuprate Criticality

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dc.creatorSenthil, T.
dc.creatorFisher, Matthew P. A.
dc.date1999-12-21
dc.date.accessioned2026-07-07T03:15:45Z
dc.date.available2026-07-07T03:15:45Z
dc.descriptionTheoretical attempts to explain the origin of high temperature superconductivity are challenged by the complexity of the normal state, which exhibits three regimes with increasing hole doping: a pseudo-gap regime when underdoped, strange power laws near optimal doping and more conventional metallic behavior when heavily overdoped. We suggest that the origin of this behavior is linked to a zero temperature quantum phase transition separating the overdoped Fermi liquid from a spin-charge separated underdoped phase. Central to our analysis is a new $Z_2$ gauge theory formulation, which supports topological vortex excitations - dubbed visons. The visons are gapped in the underdoped phase, splitting the electron's charge and Fermi statistics into two separate excitations. Superconductivity occurs when the resulting charge $e$ boson condenses. The visons are condensed in the overdoped phase, thereby confining the charge and statistics of the electron leading to a Fermi liquid phase. Right at the quantum confinement transition the visons are in a critical state, leading to power law behavior for both charge and spin.
dc.description7 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9912380
dc.identifierhttp://arxiv.org/abs/cond-mat/9912380
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/30098
dc.subjectSuperconductivity
dc.subjectStrongly Correlated Electrons
dc.titleQuantum Confinement Transition and Cuprate Criticality
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