scholarly journals Density of states of classical spin systems with continuous degrees of freedom

2005 ◽  
Vol 71 (5) ◽  
Author(s):  
Andreas Richter ◽  
Michel Pleimling ◽  
Alfred Hüller
Keyword(s):  
Density Of States ◽  
Degrees Of Freedom ◽  
Spin Systems ◽  
Classical Spin

scholarly journals Geometric Integrators for Classical Spin Systems

1997 ◽  
Vol 133 (1) ◽  
pp. 160-172 ◽  
Author(s):  
Jason Frank ◽  
Weizhang Huang ◽  
Benedict Leimkuhler
Keyword(s):  
Spin Systems ◽  
Classical Spin ◽  
Geometric Integrators

scholarly journals Lifting mean-field degeneracies in anisotropic classical spin systems

2015 ◽  
Vol 92 (15) ◽  
Author(s):  
Yuriy Sizyuk ◽  
Natalia B. Perkins ◽  
Peter Wölfle
Keyword(s):  
Mean Field ◽  
Spin Systems ◽  
Classical Spin

scholarly journals Snapshot Spectrum and Critical Phenomenon for Two-Dimensional Classical Spin Systems

2014 ◽  
Vol 83 (11) ◽  
pp. 114002 ◽  
Author(s):  
Yukinari Imura ◽  
Tsuyoshi Okubo ◽  
Satoshi Morita ◽  
Kouichi Okunishi
Keyword(s):  
Critical Phenomenon ◽  
Spin Systems ◽  
Two Dimensional ◽  
Classical Spin

scholarly journals Применение теории случайных матриц для описания бозонного пика в двумерных системах

2020 ◽  
Vol 62 (4) ◽  
pp. 603
Author(s):  
Д.А. Конюх ◽  
Я.М. Бельтюков
Keyword(s):  
Density Of States ◽  
Disordered Systems ◽  
Degrees Of Freedom ◽  
Matrix Theory ◽  
Three Dimensional ◽  
Amorphous Solids ◽  
Boson Peak ◽  
Two Dimensional ◽  
Reduced Density ◽  
Vibrational Density

The random matrix theory is applied to describe the vibrational properties of two-dimensional disordered systems with a large number of degrees of freedom. It is shown that the most significant mechanical properties of amorphous solids can be taken into account using the correlated Wishart ensemble. In this ensemble, an excess vibrational density of states over the Debye law is observed as a peak in the reduced density of states g(ω)/ω. Such a peak is known as the boson peak, which was observed in many experiments and numerical simulations for two-dimensional and three-dimensional disordered systems. It is shown that two-dimensional systems have a number of differences in the asymptotic behavior of the boson peak.

scholarly journals Supersymmetric spin–phonon coupling prevents odd integer spins from quantum tunneling

2021 ◽  
Vol 94 (3) ◽  
Author(s):  
Kilian Irländer ◽  
Heinz-Jürgen Schmidt ◽  
Jürgen Schnack
Keyword(s):  
Quantum Tunneling ◽  
Degrees Of Freedom ◽  
Spin Systems ◽  
Phonon Coupling ◽  
Temperature Dependent ◽  
Integer Spin ◽  
Quantum Numbers ◽  
Spin Quantum ◽  
Strong Spin

AbstractQuantum tunneling of the magnetization is a phenomenon that impedes the use of small anisotropic spin systems for storage purposes even at the lowest temperatures. Phonons, usually considered for temperature dependent relaxation of magnetization over the anisotropy barrier, also contribute to magnetization tunneling for integer spin quantum numbers. Here we demonstrate that certain spin–phonon Hamiltonians are unexpectedly robust against the opening of a tunneling gap, even for strong spin–phonon coupling. The key to understanding this phenomenon is provided by an underlying supersymmetry that involves both spin and phonon degrees of freedom.

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