Ground state of the quantum anisotropic planar rotor model: A finite size scaling study of the orientational order–disorder phase transition

2001 ◽  
Vol 114 (8) ◽  
pp. 3674-3682 ◽  
Author(s):  
Balázs Hetényi ◽  
Bruce J. Berne
Keyword(s):  
Phase Transition ◽  
Ground State ◽  
Orientational Order ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Disorder Phase Transition ◽  
Size Scaling ◽  
Rotor Model

Phase Transitions, Critical Phenomena, and Finite-Size Scaling

2019 ◽  
pp. 111-176
Author(s):  
Hans-Peter Eckle
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Critical Phenomena ◽  
Quantum Phase Transitions ◽  
Finite Size ◽  
System Size ◽  
Thermal Fluctuations ◽  
Finite Size Scaling ◽  
Size Scaling

Interacting many-particle systems may undergo phase transitions and exhibit critical phenomena in the limit of infinite system size, while the precursors of these phenomena are studied in the theory of finite-size scaling. After surveying the basic notions of phases, phase diagrams, and phase transitions, this chapter focuses on critical behaviour at a second-order phase transition. The Landau-Ginzburg theory and the concept of scaling prepare readers for an elementary introduction to the concepts of the renormalization group, followed by an introduction into the field of quantum phase transitions where quantum fluctuations take over the role of thermal fluctuations.

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