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

التفاصيل البيبلوغرافية
العنوان: Axial, Planar-Diagonal, Body-Diagonal Fields on the Cubic-Spin Spin Glass in d=3: A Plethora of Ordered Phases under Finite Fields
المؤلفون: Artun, E. Can, Sarman, Deniz, Berker, A. Nihat
سنة النشر: 2024
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Statistical Mechanics
الوصف: 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>=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, 15 different phases and two spin-glass phase diagram topologies, 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 hierarchical lattice and, equivalently, approximate on the hypercubic 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.
Comment: 7 pages, 4 figures, 12 phase diagrams, 1 table
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.11701
رقم الأكسشن: edsarx.2404.11701
قاعدة البيانات: arXiv