Complex systems with half-integer spins: Symplectic ensembles

被引：15

作者：

Dutta, Rina ^{[1
]}

Shukla, Pragya ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Phys, Kharagpur 721302, W Bengal, India

来源：

PHYSICAL REVIEW E | 2007年 / 76卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.76.051124

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study the statistical behavior of the Hermitian operators of complex systems with half-integer angular momentum and time-reversal symmetry. The complexity leads to randomization of the operators which can then be modeled, following maximum entropy hypothesis, by multiparametric Gaussian ensembles of real-quaternion matrices. The modeling shows that it is possible to classify the statistical behavior of spin-based complex systems into a continuum of universality classes characterized by a single parameter which is a function of all system parameters.

引用

页数：11

共 50 条

[1] Wavefunctions for particles of half-integer spins
Zhu, JJ
Ruan, TN
COMMUNICATIONS IN THEORETICAL PHYSICS, 1999, 32 (03) : 435 - 442
[2] The spatial wavefunction of half-integer spins
van Veenendaal, Michel
PHYSICA SCRIPTA, 2023, 98 (12)
[3] Integer and half-integer channel spins for elastic scattering cross sections
Tkachenko, A. S.
Kezerashvili, R. Ya.
Burkova, N. A.
Dubovichenko, S. B.
NUCLEAR PHYSICS A, 2019, 991
[4] Magnetic properties of the quaternary alloy with the mixtures of integer and half-integer spins
Kpadonou, A.
Yessoufou, R.
Houenou, R.
Albayrak, E.
PHASE TRANSITIONS, 2023, 96 (01) : 43 - 57
[5] CROSS POLARIZATION OF HALF-INTEGER SPINS IN ROTATING SAMPLES
VEGA, AJ
ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 1991, 202 : 371 - PHYS
[6] Magnetization plateaus in spin chains: ''Haldane gap'' for half-integer spins spins
Oshikawa, M
Yamanaka, M
Affleck, I
PHYSICAL REVIEW LETTERS, 1997, 78 (10) : 1984 - 1987
[7] A DIFFERENCE IN THE PROPERTIES OF ONE-DIMENSIONAL ANTIFERROMAGNETS WITH INTEGER AND HALF-INTEGER SPINS
CHUBUKOV, AV
JETP LETTERS, 1989, 49 (02) : 129 - 132
[8] Phase cycling in MQMAS sequences for half-integer quadrupole spins
Hajjar, Redouane
Millot, Yannick
Man, Pascal P.
PROGRESS IN NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY, 2010, 57 (03) : 306 - 342
[9] Quasinormal modes for integer and half-integer spins within the large angular momentum limit
Chen, Chun-Hung
Cho, Hing-Tong
Chrysostomou, Anna
Cornell, Alan S.
PHYSICAL REVIEW D, 2021, 104 (02)
[10] Magnetization plateaus in spin chains: 'haldane gap' for half-integer spins
Oshikawa, Masaki
Yamanaka, Masanori
Affleck, Ian
Physical Review Letters, 1997, 78 (10):

← 1 2 3 4 5 →