scholarly journals Finite-size scaling at first-order quantum transitions when boundary conditions favor one of the two phases

2018 ◽  
Vol 98 (3) ◽  
Author(s):  
Andrea Pelissetto ◽  
Davide Rossini ◽  
Ettore Vicari
Keyword(s):  
Boundary Conditions ◽  
Finite Size ◽  
Finite Size Scaling ◽  
First Order ◽  
Size Scaling ◽  
Quantum Transitions ◽  
Two Phases

scholarly journals Finite-size scaling at the first-order quantum transitions of quantum Potts chains

2015 ◽  
Vol 91 (5) ◽  
Author(s):  
Massimo Campostrini ◽  
Jacopo Nespolo ◽  
Andrea Pelissetto ◽  
Ettore Vicari
Keyword(s):  
Finite Size ◽  
Finite Size Scaling ◽  
First Order ◽  
Size Scaling ◽  
Quantum Transitions

scholarly journals Finite-Size Scaling at First-Order Quantum Transitions

2014 ◽  
Vol 113 (7) ◽  
Author(s):  
Massimo Campostrini ◽  
Jacopo Nespolo ◽  
Andrea Pelissetto ◽  
Ettore Vicari
Keyword(s):  
Finite Size ◽  
Finite Size Scaling ◽  
First Order ◽  
Size Scaling ◽  
Quantum Transitions

scholarly journals Transmuted Finite-size Scaling at First-order Phase Transitions

2014 ◽  
Vol 57 ◽  
pp. 68-72 ◽  
Author(s):  
Marco Mueller ◽  
Wolfhard Janke ◽  
Desmond A. Johnston
Keyword(s):  
Phase Transitions ◽  
Finite Size ◽  
Finite Size Scaling ◽  
First Order ◽  
Size Scaling ◽  
First Order Phase

A MICROSCOPIC THEORY OF FINITE-SIZE SCALING

1992 ◽  
Vol 03 (05) ◽  
pp. 897-912 ◽  
Author(s):  
CHRISTIAN BORGS
Keyword(s):  
Finite Size ◽  
Microscopic Theory ◽  
Finite Size Scaling ◽  
Rigorous Theory ◽  
First Order ◽  
Mathematical Proofs ◽  
Mass Gap ◽  
Size Scaling ◽  
Main Emphasis ◽  
Cubic Systems

In this paper, I give an overview over a recently developed rigorous theory of finite-size scaling near first order transitions. Leaving out details of the mathematical proofs, the main emphasis is put on the underlying physical ideas and the discussion of the validity of the results for regions which are, in the sense of mathematical rigour, not covered by the original papers. I present both the finite-size scaling for cubic systems and for long cylinders, discussing also a recent controversy which stems from our work on the finite-size scaling of the mass gap in long cylinders.

scholarly journals Finite-size scaling at quantum transitions

2014 ◽  
Vol 89 (9) ◽  
Author(s):  
Massimo Campostrini ◽  
Andrea Pelissetto ◽  
Ettore Vicari
Keyword(s):  
Finite Size ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Quantum Transitions
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