Axial, Planar-Diagonal, Body-Diagonal Fields on the Cubic-Spin Spin Glass in d=3: A Plethora of Ordered Phases under Finite Fields

• Main Authors: Artun, E. Can, Sarman, Deniz, Berker, A. Nihat
• Format: Journal Article
• Language: English
• Published: 21-09-2024
• Subjects: Physics - Disordered Systems and Neural Networks; Physics - Statistical Mechanics
• DOI: 10.48550/arxiv.2404.11701

Phys. Rev. E 110, 034123 (2024) A nematic phase, previously seen in the d=3 classical Heisenberg spin-glass
system, occurs in the n-component cubic-spin spin-glass system, between the
low-temperature spin-glass phase and the high-temperature disordered phase, for
number of spin components n \geq 3, in spatial dimension d=3, thus constituting
a liquid-crystal phase in a dirty (quenched-disordered) magnet. Furthermore,
under application of a variety of uniform magnetic fields, a veritable plethora
of phases are found. Under uniform magnetic fields, 17 different phases and two
spin-glass phase diagram topologies (meaning the occurrences and relative
positions of the many phases), qualitatively different from the conventional
spin-glass phase diagram topology, are seen. The chaotic rescaling behaviors
and their Lyapunov exponents are calculated in each of these spin-glass phase
diagram topologies. These results are obtained from renormalization-group
calculations that are exact on the d=3 hierarchical lattice and, equivalently,
approximate on the cubic spatial lattice. Axial, planar-diagonal, or
body-diagonal finite-strength uniform fields are applied to n=2 and 3 component
cubic-spin spin-glass systems in d=3.