scholarly journals On the existence of a finite-temperature transition in the two-dimensional gauge glass

2003 ◽  
Vol 67 (18) ◽  
Author(s):  
Helmut G. Katzgraber
Keyword(s):  
Finite Temperature ◽  
Two Dimensional ◽  
Temperature Transition ◽  
Gauge Glass

scholarly journals Interplay of curvature and rigidity in shape-based models of confluent tissue

2020 ◽  
Author(s):  
Daniel M. Sussman
Keyword(s):  
Cell Motility ◽  
Biological Tissue ◽  
Finite Temperature ◽  
Transition Point ◽  
Shape Index ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Temperature Transition ◽  
Vertex Models ◽  
Geodesic Distances

Rigidity transitions in simple models of confluent cells have been a powerful organizing principle in understanding the dynamics and mechanics of dense biological tissue. In this work we explore the interplay between geometry and rigidity in two-dimensional vertex models confined to the surface of a sphere. By considering shapes of cells defined by perimeters whose magnitude depends on geodesic distances and areas determined by spherical polygons, the critical shape index in such models is affected by the size of the cell relative to the radius of the sphere on which it is embedded. This implies that cells can collectively rigidify by growing the size of the sphere, i.e. by tuning the curvature of their domain. Finite-temperature studies indicate that cell motility is affected well away from the zero-temperature transition point.

scholarly journals MAGNETIC INSTABILITY IN A PARITY INVARIANT TWO-DIMENSIONAL FERMION SYSTEM

2000 ◽  
Vol 14 (14) ◽  
pp. 1441-1449 ◽  
Author(s):  
M. ELIASHVILI ◽  
G. TSITSISHVILI
Keyword(s):  
High Temperature ◽  
Temperature Regime ◽  
Ground State ◽  
Finite Temperature ◽  
Two Dimensional ◽  
Fermion System ◽  
Temperature Analysis ◽  
Magnetic Instability ◽  
High Temperature Regime

We consider the parity invariant QED2+1 where the matter is represented as a mixture of fermions with opposite spins. It is argued that the perturbative ground state of the system is unstable with respect to the formation of magnetized ground state. Carrying out the finite temperature analysis we show that the magnetic instability disappears in the high temperature regime.

scholarly journals Nature of finite-temperature transition in anisotropic pyrochloreEr2Ti2O7

2014 ◽  
Vol 89 (14) ◽  
Author(s):  
M. E. Zhitomirsky ◽  
P. C. W. Holdsworth ◽  
R. Moessner
Keyword(s):  
Finite Temperature ◽  
Temperature Transition
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