2005/11/30 by Shunsuke Takashima, Ikuo Ichinose, Tetsuo Matsui · 29 citations
Physics and Astronomy · #Condensed matter physics #Deconfinement #Gauge theory #Mathematical physics #Particle physics theoretical and experimental studies #Phase (matter) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum critical point #Quantum mechanics #Quantum phase transition #Spin (aerodynamics) #Spinon #Thermodynamics #cond-mat.str-el #hep-lat
paper · pdf · doi:10.1103/physrevb.73.075119
published in Physical Review B 73(7) (American Physical Society) · minor changes
arxiv created 2006/01/11 · openalex publication_date 2006/02/27 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we study the three-dimensional Nf-flavor CP1 model (a set of Nf CP1 variables) coupled with a dynamical compact U(1) gauge field by means of Monte Carlo simulations. This model is relevant to two-dimensional s=(1)/(2) quantum spin models, and has a phase transition line which separates an ordered phase of global spin symmetry from a disordered one. From a gauge theoretical point of view, the ordered phase is a Higgs phase whereas the disordered phase is a confinement phase. We are interested in the gauge dynamics just on the critical line, in particular, whether a Coulomb-like deconfinement phase is realized there. This problem is quite important to clarify low-energy excitations in certain class of quantum spin models. If the gauge dynamics is in the deconfinement phase there, spinons, which transform in the fundamental representation of the SU(Nf) symmetry, appear as low-energy excitations. By Monte Carlo simulations, we found that the ``phase structure'' on the criticality strongly depends on the value of Nf. For small Nf, the confinement phase is realized, whereas the deconfinement phase appears for sufficient large Nf\ensuremath\geqslant14. This result strongly suggests that compact QED3 is in a deconfinement phase for sufficiently large number of flavors of massless fermions.