Quantum phase transitions beyond the Landau-Ginzburg paradigm and supersymmetry

Journal Article · Fri Jan 15 00:00:00 EST 2010 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2009.08.003· OSTI ID:21336080

Sachdev, Subir ^[1]; Xi, Yin ^[1]

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1. Department of Physics, Harvard University, Cambridge, MA 02138 (United States)

We make connections between studies in the condensed matter literature on quantum phase transitions in square lattice antiferromagnets, and results in the particle theory literature on abelian supersymmetric gauge theories in 2 + 1 dimensions. In particular, we point out that supersymmetric U(1) gauge theories (with particle content similar, but not identical, to those of theories of doped antiferromagnets) provide rigorous examples of quantum phase transitions which do not obey the Landau-Ginzburg-Wilson paradigm (often referred to as transitions realizing 'deconfined criticality'). We also make connections between supersymmetric mirror symmetries and condensed matter particle-vortex dualities.

• OSTI ID: 21336080
• Journal Information: Annals of Physics (New York), Vol. 325, Issue 1; Other Information: DOI: 10.1016/j.aop.2009.08.003; PII: S0003-4916(09)00154-7; Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CRITICALITY
DOPED MATERIALS
DUALITY
GAUGE INVARIANCE
MATTER
MONOPOLES
PHASE TRANSFORMATIONS
SOLIDS
SUPERSYMMETRY
TETRAGONAL LATTICES