scholarly journals Quantum phase transitions in theJ-J' Heisenberg andXYspin-½ antiferromagnets on a square lattice: finite-size scaling analysis

2001 ◽  
Vol 34 (33) ◽  
pp. L461-L466 ◽  
Author(s):  
Piotr Tomczak ◽  
Johannes Richter
2019 ◽  
pp. 111-176
Author(s):  
Hans-Peter Eckle

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.


2011 ◽  
Vol 24 (3) ◽  
pp. 035103 ◽  
Author(s):  
Michael Melle ◽  
Stefano Giura ◽  
Sergej Schlotthauer ◽  
Martin Schoen

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