scholarly journals Inapproximability after Uniqueness Phase Transition in Two-Spin Systems

Author(s):  
Jin-Yi Cai ◽  
Xi Chen ◽  
Heng Guo ◽  
Pinyan Lu
2018 ◽  
Vol 59 (11) ◽  
pp. 113302 ◽  
Author(s):  
Volker Betz ◽  
Johannes Ehlert ◽  
Benjamin Lees

2019 ◽  
Vol 16 (9) ◽  
pp. 095702
Author(s):  
Jixue Liu ◽  
Jiaojiao Chen ◽  
Jiadong Shi ◽  
Tao Wu

2015 ◽  
Vol 39 (7) ◽  
pp. 5395-5401 ◽  
Author(s):  
Guo-Jun Yuan ◽  
Yun-Xia Sui ◽  
Jian-Lan Liu ◽  
Xiao-Ming Ren

Magnetic and thermal behaviors and the phase transition nature are strongly influenced by grain size in one-dimensional S = 1/2 molecular spin systems.


2007 ◽  
Vol 18 (07) ◽  
pp. 1107-1117
Author(s):  
FATIH YAŞAR

Monte Carlo simulations using the recently proposed Wang–Landau algorithm are performed to the q = 8 state Potts model in two dimension with various degrees of randomness. We systematically studied the effect of quenched bond randomness to system which has first-order phase transition. All simulations and measurements were done from pure case r = 1 to r = 0.4. Physical quantities such as energy density and ground-state entropy were evaluated at all temperatures. We have also obtained probability distributions of energy to monitor softening of transitions. It appears quite feasible to simulate spin systems with quenched bond randomness by Wang–Landau algorithm.


Author(s):  
Jiannis K Pachos ◽  
Angelo C.M Carollo

A general formalism of the relation between geometric phases produced by circularly evolving interacting spin systems and their criticality behaviour is presented. This opens up the way for the use of geometric phases as a tool to probe regions of criticality without having to undergo a quantum phase transition. As a concrete example, a spin-1/2 chain with XY interactions is considered and the corresponding geometric phases are analysed. Finally, a generalization of these results to the case of an arbitrary spin system is presented.


1974 ◽  
Vol 61 (2) ◽  
pp. K67-K69 ◽  
Author(s):  
A. Zagórski ◽  
A. Sukiennicki

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