O(n) tricriticality in two dimensions

被引：0

作者：

Guo W.-A. ^{[1
]}

Blöte H.W.J. ^{[2
,3
]}

Nienhuis B. ^{[4
]}

机构：

[1] Physics Department, Beijing Normal University

[2] Faculty of Applied Sciences, Delft University of Technology, 2600 GA Delft

[3] Instituut Lorentz, Leiden University, 2300 RA Leiden

[4] Instituut voor Theoretische Fysica, Universiteit Van Amsterdam

来源：

Frontiers of Physics in China | 2007年 / 2卷 / 1期

基金：

中国国家自然科学基金;

关键词：

Critical exponents; O(n) model; Tricriticality;

D O I：

10.1007/s11467-007-0010-y

中图分类号：

学科分类号：

摘要：

We present exact results for several universal parameters of the tricritical O(n) model in two dimensions. The results apply to the range -2≤n≤3/2, and include the central charge and three scaling dimensions, associated with temperature, magnetic field and the introduction of an interface. Since these results are based on an extrapolation of known relations between the O(n) and the Potts model, they cannot be considered as rigorous. For this reason, we perform an accurate numerical analysis of the central charge and the critical exponents. This analysis, which is based on transfer-matrix calculations on the honeycomb lattice, is in a full and precise agreement with the theoretical predictions. © Higher Education Press 2007.

引用

页码：103 / 108

页数：5

共 50 条

[1] Exact characterization of O(n) tricriticality in two dimensions -: art. no. 045704
Guo, WN
Nienhuis, B
Blöte, HWJ
PHYSICAL REVIEW LETTERS, 2006, 96 (04)
[2] Tricritical O(n) models in two dimensions
Nienhuis, Bernard
Guo, Wenan
Blote, Henk W. J.
PHYSICAL REVIEW E, 2008, 78 (06):
[3] O(N) and RP(N-1) models in two dimensions
Hasenbusch, M
PHYSICAL REVIEW D, 1996, 53 (06) : 3445 - 3450
[4] COLLAPSE OF AN ALTERNATING POLYAMPHOLYTE - EVIDENCE FOR TRICRITICALITY IN 2 AND 3 DIMENSIONS
VICTOR, JM
IMBERT, JB
EUROPHYSICS LETTERS, 1993, 24 (03): : 189 - 195
[5] Flow equation of N=1 supersymmetric O(N) nonlinear sigma model in two dimensions
Aoki, Sinya
Kikuchi, Kengo
Onogi, Tetsuya
JOURNAL OF HIGH ENERGY PHYSICS, 2018, (02):
[6] Low-temperature behavior of the O(N) models below two dimensions
Chlebicki, Andrzej
Jakubczyk, Pawel
PHYSICAL REVIEW E, 2023, 107 (01)
[7] Exact Solution of the Anisotropic Special Transition in the O(n) Model in Two Dimensions
Dubail, Jerome
Jacobsen, Jesper Lykke
Saleur, Hubert
PHYSICAL REVIEW LETTERS, 2009, 103 (14)
[8] Global Ashkin-Teller phase diagrams in two and three dimensions: Multicritical bifurcation versus double tricriticality-endpoint
Kecoglu, Ibrahim
Berker, A. Nihat
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2023, 630
[9] Fractal structure of high-temperature graphs of O(N) models in two dimensions
Janke, W
Schakel, AMJ
PHYSICAL REVIEW LETTERS, 2005, 95 (13)
[10] SURFACE EXPONENTS OF TRAILS IN 2 DIMENSIONS AT TRICRITICALITY - COMPUTER-SIMULATION STUDY
MEIROVITCH, H
CHANG, IS
SHAPIR, Y
PHYSICAL REVIEW A, 1989, 40 (05): : 2879 - 2881

← 1 2 3 4 5 →