Incompletely ordered phases and phase transitions in the three-dimensional general clock model

1993 ◽  
Vol 48 (22) ◽  
pp. 16471-16483 ◽  
Author(s):  
Yohtaro Ueno ◽  
Katsumi Kasono
Keyword(s):  
Phase Transitions ◽  
Three Dimensional ◽  
Clock Model ◽  
Ordered Phases

scholarly journals Crystal–liquid phase transitions in three-dimensional complex plasma under microgravity conditions

2018 ◽  
Vol 946 ◽  
pp. 012144 ◽  
Author(s):  
V N Naumkin ◽  
A M Lipaev ◽  
V I Molotkov ◽  
D I Zhukhovitskii ◽  
A D Usachev ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Liquid Phase ◽  
Three Dimensional ◽  
Complex Plasma ◽  
Microgravity Conditions

scholarly journals Emergent chiral symmetry in a three-dimensional interacting Dirac liquid

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
András L. Szabó ◽  
Bitan Roy
Keyword(s):  
Fixed Points ◽  
Chiral Symmetry ◽  
Rotational Symmetry ◽  
Three Dimensional ◽  
Spatial Dimension ◽  
Dirac Fermions ◽  
Electronic Interactions ◽  
Emergent Phenomena ◽  
Ordered Phases ◽  
The Stability

Abstract We compute the effects of strong Hubbardlike local electronic interactions on three-dimensional four-component massless Dirac fermions, which in a noninteracting system possess a microscopic global U(1) ⊗ SU(2) chiral symmetry. A concrete lattice realization of such chiral Dirac excitations is presented, and the role of electron-electron interactions is studied by performing a field theoretic renormalization group (RG) analysis, controlled by a small parameter ϵ with ϵ = d−1, about the lower-critical one spatial dimension. Besides the noninteracting Gaussian fixed point, the system supports four quantum critical and four bicritical points at nonvanishing interaction couplings ∼ ϵ. Even though the chiral symmetry is absent in the interacting model, it gets restored (either partially or fully) at various RG fixed points as emergent phenomena. A representative cut of the global phase diagram displays a confluence of scalar and pseudoscalar excitonic and superconducting (such as the s-wave and p-wave) mass ordered phases, manifesting restoration of (a) chiral U(1) symmetry between two excitonic masses for repulsive interactions and (b) pseudospin SU(2) symmetry between scalar or pseudoscalar excitonic and superconducting masses for attractive interactions. Finally, we perturbatively study the effects of weak rotational symmetry breaking on the stability of various RG fixed points.

Current-induced reordering phase transitions of vortex matter in 3D-layered superconductors

2018 ◽  
Vol 32 (25) ◽  
pp. 1850281 ◽  
Author(s):  
Qingmiao Nie ◽  
Haibin Li
Keyword(s):  
Phase Transitions ◽  
Thermal Noise ◽  
Vortex Lattice ◽  
Three Dimensional ◽  
Xy Model ◽  
Vortex Matter ◽  
Nonequilibrium Phase Transitions ◽  
External Current ◽  
Layered Superconductors ◽  
Pinning Potential

Nonequilibrium phase transitions of vortex matter with a strong random pinning potential in layered superconductors are investigated by the three-dimensional frustrated anisotropic XY model and resistively-shunted junction dynamics at low, middle and high-temperatures, respectively. It is found that a disorder to order phase transition driven by an external current can be obtained at a low-temperature, however, a reordering configuration does not occur at a high-temperature. With the competition between thermal noise, disorder pins and current, the vortex matter can even show the reordering process twice at an intermediate temperature, giving a clear evidence of dc driven vortex lattice reorganization.

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