scholarly journals Bootstrapping mixed correlators in three-dimensional cubic theories

2019 ◽  
Vol 6 (3) ◽  
Author(s):  
Stefanos R. Kousvos ◽  
Andreas Stergiou
Keyword(s):  
Phase Transitions ◽  
Parameter Space ◽  
Structural Phase ◽  
Three Dimensional ◽  
Ferromagnetic Phase ◽  
Structural Phase Transitions ◽  
Cubic Symmetry ◽  
Conformal Field ◽  
Conformal Bootstrap ◽  
Crossing Symmetry

Three-dimensional theories with cubic symmetry are studied using the machinery of the numerical conformal bootstrap. Crossing symmetry and unitarity are imposed on a set of mixed correlators, and various aspects of the parameter space are probed for consistency. An isolated allowed region in parameter space is found under certain assumptions involving pushing operator dimensions above marginality, indicating the existence of a conformal field theory in this region. The obtained results have possible applications for ferromagnetic phase transitions as well as structural phase transitions in crystals. They are in tension with previous \epsilonϵ expansion results, as noticed already in earlier work.

Influence of three-dimensional transition elements on magnetic and structural phase transitions of Ni-Mn-Ga alloys

2004 ◽  
Vol 95 (4) ◽  
pp. 1740-1742 ◽  
Author(s):  
A. A. Cherechukin ◽  
T. Takagi ◽  
H. Miki ◽  
M. Matsumoto ◽  
M. Ohtsuka
Keyword(s):  
Phase Transitions ◽  
Structural Phase ◽  
Three Dimensional ◽  
Structural Phase Transitions ◽  
Transition Elements

Structural Phase Transitions and Three-Dimensional Magnetic Ordering in the Nd 2 NiO 4 Oxide

1990 ◽  
Vol 11 (3) ◽  
pp. 261-268 ◽  
Author(s):  
J Rodríguez-Carvajal ◽  
M. T Fernández-Díaz ◽  
J. L Martínez ◽  
F Fernández ◽  
R Saez-Puche
Keyword(s):  
Phase Transitions ◽  
Structural Phase ◽  
Three Dimensional ◽  
Magnetic Ordering ◽  
Structural Phase Transitions

scholarly journals Bootstrapping mixed correlators in three-dimensional cubic theories II

2020 ◽  
Vol 8 (6) ◽  
Author(s):  
Stefanos R. Kousvos ◽  
Andreas Stergiou
Keyword(s):  
Condensed Matter ◽  
Three Dimensional ◽  
Global Symmetry ◽  
Energy Tensor ◽  
Conformal Field Theories ◽  
Cubic Symmetry ◽  
Conformal Field ◽  
Conformal Bootstrap ◽  
Perturbative Methods ◽  
Stress Energy

Conformal field theories (CFTs) with cubic global symmetry in 3D are relevant in a variety of condensed matter systems and have been studied extensively with the use of perturbative methods like the \varepsilonε expansion. In an earlier work, we used the nonperturbative numerical conformal bootstrap to provide evidence for the existence of a previously unknown 3D CFT with cubic symmetry, dubbed “Platonic CFT”. In this work, we make further use of the numerical conformal bootstrap to perform a three-dimensional scan in the space of scaling dimensions of three low-lying operators. We find a three-dimensional isolated allowed region in parameter space, which includes both the 3D (decoupled) Ising model and the Platonic CFT. The essential assumptions on the spectrum of operators used to provide the isolated allowed region include the existence of a stress-energy tensor and the irrelevance of certain operators (in the renormalization group sense).

Phonons and magnons under the sequential structural phase transitions in La2NiO4

1991 ◽  
Vol 185-189 ◽  
pp. 895-896 ◽  
Author(s):  
S. Sugai ◽  
S. Hosoya ◽  
T. Kajitani ◽  
T. Fukuda ◽  
S. Onodera
Keyword(s):  
Phase Transitions ◽  
Structural Phase ◽  
Structural Phase Transitions
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