Criterion for Dominance of Directional over Size Fluctuations in Destroying Order

Abstract

For systems exhibiting a second-order phase transition with a spontaneously broken continuous O(N)-symmetry at low temperature, we give a criterion for judging at which temperature T_K long-range directional fluctuations of the order field destroy the order when approaching the critical temperature from below. The temperature T_K lies always significantly below the famous Ginzburg temperature T_G at which size fluctuations of finite range in the order field become important.

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http://www.physik.fu-berlin.de/~kleinert/re3.html#298

References in corpus (1)

• Nonperturbative XY-model approach to strong coupling superconductivity in two and three dimensions

Cited by in corpus (25)

• Phase Fluctuations and Pseudogap Phenomena
• Principal problems in Bose-Einstein condensation of dilute gases
• Basics of Bose-Einstein Condensation
• Tunneling conductance in $s$- and d-wave superconductor-graphene junctions: Extended Blonder-Tinkham-Klapwijk formalism
• Dirac-fermions and conductance-oscillations in (s,d)-wave superconductor/normal graphene junctions
• Anomalous scaling dimensions and stable charged fixed-point of type-II superconductors
• World Nematic Crystal Model of Gravity Explaining the Absence of Torsion
• Nonlinear sigma model approach for phase disorder transitions and the pseudogap phase in chiral Gross-Neveu, Nambu-Jona-Lasinio models and strong-coupling superconductors
• Reentrant Phenomenon in Quantum Phase Diagram of Optical Boson Lattice
• Effective Action Approach for Quantum Phase Transitions in Bosonic Lattices
• Heat transport by Dirac fermions in normal/superconducting graphene junctions
• Hausdorff dimension of critical fluctuations in abelian gauge theories
• Many-body physics in the classical-field description of a degenerate Bose gas
• Phase-fluctuation induced reduction of the kinetic energy at the superconducting transition
• Phase diagram of underdoped cuprate superconductors: effect of Cooper-pair phase fluctuations
• Nonlinear sigma model approach for chiral fluctuations and symmetry breakdown in Nambu-Jona-Lasinio model
• Vortex Origin of Tricritical Point in Ginzburg-Landau Theory
• No Spontaneous Breakdown of Chiral Symmetry in Nambu-Jona-Lasinio Model
• Magnetisation and mean field theory in the Ising model
• Nonperturbative Effects on T_c of Interacting Bose Gases in Power-Law Traps
• Thermally induced rotons in two-dimensional dilute Bose gases
• Tricritical Point in Quantum Phase Transitions of the Coleman-Weinberg Model at Higgs Mass
• Nature of Phase Transitions in a Generalized Complex |psi|^4 Model
• Three-Loop Ground-State Energy of O(N)-Symmetric Ginzburg-Landau Theory Above T_c in 4-epsilon Dimensions with Minimal Subtraction
• Gaussian fluctuations in an ideal bose-gas -- a simple model