Exotic quantum phases and phase transitions in correlated matter

Fabien Alet, Aleksandra M. Walczak and Matthew P.A. Fisher

Physica A: Statistical Mechanics and its Applications, 2006, vol. 369, issue 1, 122-142

Abstract: We present a pedagogical overview of recent theoretical work on unconventional quantum phases and quantum phase transitions in condensed matter systems. Strong correlations between electrons can lead to a breakdown of two traditional paradigms of solid state physics: Landau's theories of Fermi liquid and phase transitions. We discuss two resulting “exotic” states of matter: topological and critical spin liquids. These two quantum phases do not display any long-range order even at zero temperature. In each case, we show how a gauge theory description is useful to describe the new concepts of topological order, fractionalization and deconfinement of excitations which can be present in such spin liquids. We make brief connections, when possible, to experiments in which the corresponding physics can be probed. Finally, we review recent work on deconfined quantum critical points. The tone of these lecture notes is expository: focus is on gaining a physical picture and understanding, with technical details kept to a minimum.

Keywords: Quantum spin liquids; Topological order; Critical spin liquids; Deconfined quantum critical points (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:369:y:2006:i:1:p:122-142

DOI: 10.1016/j.physa.2006.04.003

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