Phase Transition in Potts Model with Invisible States
スポンサーリンク
概要
- 論文の詳細を見る
We study phase transition in the ferromagnetic Potts model with invisible states that are added as redundant states by mean-field calculation and Monte Carlo simulation. Invisible states affect the entropy and free energy, although they do not contribute to the internal energy. A second-order phase transition takes place at finite temperature in the standard q-state ferromagnetic Potts model on two-dimensional lattice for q=2,3, and 4. However, our present model on two-dimensional lattice undergoes a first-order phase transition with spontaneous q-fold symmetry breaking (q=2,3, and 4) due to entropy effect of invisible states. The model is fundamental for the analysis of a first-order phase transition with spontaneous discrete symmetry breaking.
- 2010-08-25
著者
-
TAMURA Ryo
Institute for Solid State Physics, University of Tokyo
-
TANAKA Shu
Research Center for Quantum Computing, Interdisciplinary Graduate School of Science and Engineering,
-
KAWASHIMA Naoki
Institute for Solid State Physics, University of Tokyo
-
Tanaka Shu
Research Center For Quantum Computing Interdisciplinary Graduate School Of Science And Engineering K
-
Kawashima Naoki
Institute For Solid State Physics University Of Tokyo
-
Tamura Ryo
Institute For Solid State Physics University Of Tokyo
-
Kawashima Naoki
Univ. Tokyo Kashiwa Jpn
-
Tanaka Shu
Research Center for Quantum Computing, Interdisciplinary Graduate School of Science and Engineering, Kinki University
関連論文
- Phase Transition in Potts Model with Invisible States
- First-Order Transition to Incommensurate Phase with Broken Lattice Rotation Symmetry in Frustrated Heisenberg Model(General)
- Exotic Finite-Temperature Phase Diagram for Weakly Coupled S = 1/2 XXZ Chain in a Magnetic Field(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Dimer-Quadrupolar Quantum Phase Transition in the Quasi-One-Dimensional Heisenberg Model with Biquadratic Interaction(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Entanglement Entropy in Valence-Bond-Solid States on Symmetric Graphs(New Development of Numerical Simulations in Low-Dimensional Quantum Systems: From Density Matrix Renormalization Group to Tensor Network Formulations)
- 25aRB-5 Hamiltonian Determination through Edge Spin in Transverse Ising Chain
- Entanglement renormalization on the triangular lattice(New Development of Numerical Simulations in Low-Dimensional Quantum Systems: From Density Matrix Renormalization Group to Tensor Network Formulations)
- First-Order Phase Transition with Breaking of Lattice Rotation Symmetry in Continuous-Spin Model on Triangular Lattice
- Hamiltonian Determination with Restricted Access in Transverse Field Ising Chain
- Critical and Glassy Phases in Non-Disordered Antiferromagnetic Heisenberg Model on Triangular Lattice
- Finite-Temperature Transition in the Spin-Dimer Antiferromagnet BaCuSi2O6
- Tree Approximation for Spin Glass Models(General)