Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2007-11-06
Phys.Rev.B77(2008)224404
Physics
Condensed Matter
Strongly Correlated Electrons
4pages, 10 figures
Scientific paper
10.1103/PhysRevB.77.224404
In this paper we study the lattice CP$^1$ model in (3+1) dimensions coupled with a dynamical compact U(1) gauge field. This model is an effective field theory of the $s={1 \over 2}$ antiferromagnetic Heisenberg spin model in three spatial dimensions. By means of Monte Carlo simulations, we investigate its phase structure. There exist the Higgs, Coulomb and confinement phases, and the parameter regions of these phases are clarified. We also measure magnetization of O(3) spins, energy gap of spin excitations, and mass of gauge boson. Then we discuss the relationship between these three phases and magnetic properties of the high-$T_{\rm c}$ cuprates, in particular the possibility of deconfined-spinon phase. Effect of dimer-like spin exchange coupling and ring-exchange coupling is also studied.
Hiramatsu Takashi
Ichinose Ikuo
Matsui Tetsuo
Ozaki Katsuhiro
Sawamura Kenji
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