Quantum criticality of U(1) gauge theories with fermionic and bosonic matter in two spatial dimensions

Journal Article · Tue Apr 15 04:00:00 EDT 2008 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.77.155105· OSTI ID:21143280

Kaul, Ribhu K; Sachdev, Subir ^[1]

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

We consider relativistic U(1) gauge theories in 2+1 dimensions, with N{sub b} species of complex bosons and N{sub f} species of Dirac fermions at finite temperature. The quantum phase transition between the Higgs and Coulomb phases is described by a conformal field theory (CFT). At large N{sub b} and N{sub f}, but for arbitrary values of the ratio N{sub b}/N{sub f}, we present computations of various critical exponents and universal amplitudes for these CFTs. We make contact with the different spin liquids, charge liquids, and deconfined critical points of quantum magnets that these field theories describe. We compute physical observables that may be measured in experiments or numerical simulations of insulating and doped quantum magnets.

• OSTI ID: 21143280
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 15 Vol. 77; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CONFORMAL INVARIANCE
CRITICALITY
DOPED MATERIALS
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
HIGGS BOSONS
HIGGS MODEL
LIQUIDS
MAGNETS
MANY-DIMENSIONAL CALCULATIONS
NUMERICAL ANALYSIS
PHASE TRANSFORMATIONS
RELATIVISTIC RANGE
SIMULATION
SPIN
U GROUPS
UNIFIED GAUGE MODELS