4 papers
Self-Duality and Phase Structure of the 4D Random-Plaquette Z_2 Gauge Model
Gaku Arakawa, Ikuo Ichinose, Tetsuo Matsui +1
In the present paper, we shall study the 4-dimensional Z_2 lattice gauge model with a random gauge coupling; the random-plaquette gauge model(RPGM). The random gauge coupling at ea…
Néel-Dimer Transition in Antiferromagnetic Heisenberg Model and Deconfinement of Spinons at the Critical Point
Daisuke Yoshioka, Gaku Arakawa, Ikuo Ichinose +1
Quantum phase transition from the Néel to the dimer states in an antiferromagnetic(AF) Heisenberg model on square lattice is studied. We introduce a control parameter for the e…
Phase Structure of the Random-Plaquette Z_2 Gauge Model: Accuracy Threshold for a Toric Quantum Memory
Takuya Ohno, Gaku Arakawa, Ikuo Ichinose +1
We study the phase structure of the random-plaquette Z_2 lattice gauge model in three dimensions. In this model, the "gauge coupling" for each plaquette is a quenched random variab…
Z_N Gauge Theories on a Lattice and Quantum Memory
Gaku Arakawa, Ikuo Ichinose
In the present paper we shall study (2+1) dimensional Z_N gauge theories on a lattice. It is shown that the gauge theories have two phases, one is a Higgs phase and the other is a…