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We present a quenched calculation of lowest bottomonium hybrid states on an anisotropic lattice with Landau mean-link tadpole improvement, using the improved NRQCD Hamiltonian. We investigate the quark-spin s=0,1 sectors, which contain both…

High Energy Physics - Lattice · Physics 2009-10-31 I. T. Drummond , N. A. Goodman , R. R. Horgan , H. P. Shanahan , L. C. Storoni

We investigate relations between spatial properties of the free energy and the radius of Gaussian curvature of the underlying curved lattice geometries. For this purpose we derive recurrence relations for the analysis of the free energy…

Statistical Mechanics · Physics 2016-06-02 Marcel Serina , Jozef Genzor , Yoju Lee , Andrej Gendiar

We consider relaxation of a rigid spin cluster in an elastic medium in the presence of the magnetic field. Universal simple expression for spin-phonon matrix elements due to local rotations of the lattice is derived. The equivalence of the…

Statistical Mechanics · Physics 2008-05-05 E. M. Chudnovsky , D. A. Garanin , R. Schilling

Effect of quantum fluctuations concerned with the orbital degrees of freedom is discussed for the model with SU(4) symmetry in one dimension. An effective Hamiltonian is derived from the orbitally degenerate Hubbard model at quarter…

Strongly Correlated Electrons · Physics 2009-10-31 Yasufumi Yamashita , Naokazu Shibata , Kazuo Ueda

We present a general approach to the derivation of the effective anisotropy field which determines the dynamical behaviour of magnetic spins according to the Landau-Lifshitz-Gilbert equation. The approach is based on the gradient in…

We compute the temperature-dependent spin-wave spectrum and the magnetization for a spin system using the unified decoupling procedure for the high-order Green's functions for the exchange coupling and anisotropy, both in the classical and…

Materials Science · Physics 2015-06-05 R. Bastardis , U. Atxitia , O. Chubykalo-Fesenko , H. Kachkachi

The magnetic free energy is usually quadratic in magnetic field and depends on the mutual orientation of the magnetic field and the crystalline axes. Tiny in magnitude, this magnetocrystalline anisotropy energy (MAE) is nevertheless…

Strongly Correlated Electrons · Physics 2022-07-22 Xiaokang Li , Shan Jiang , Qingkai Meng , Huakun Zuo , Zengwei Zhu , Leon Balents , Kamran Behnia

We introduce a novel bootstrap method for classical Compton scattering amplitudes involving two massless gluon/graviton particles and two arbitrary-spin infinite-mass particles in a heavy-mass effective field theory context. Using a…

High Energy Physics - Theory · Physics 2023-07-12 N. E. J. Bjerrum-Bohr , Gang Chen , Marcos Skowronek

Quantum Monte Carlo and density-matrix renormalization group methods are used to study the coupled spin-pseudospin Hamiltonian in one-dimension (1D) that models the charge-ordering instability of the anisotropic Hubbard ladder at quarter…

Strongly Correlated Electrons · Physics 2009-11-11 Y. Ohta , T. Nakaegawa , S. Ejima

When utilizing a cluster decomposible relativistic scattering formalism, it is most convenient that the covariant field equations take on a linear form with respect to the energy and momentum dispersion on the fields in the manner given by…

Mathematical Physics · Physics 2007-05-23 James Lindesay

Employing the method of mapping the spin problem onto a particle one, we have derived the particle Hamiltonian for a biaxial spin system with a transverse or longitudinal magnetic field. Using the Hamiltonian and introducing the parameter…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Gwang-Hee Kim

A semiclassical analysis based on spin-coherent states is used to establish a classification and formulae for the spectral gap of mean-field spin Hamiltonians. For gapped systems we provide a full description of the low-energy spectra based…

Mathematical Physics · Physics 2023-12-07 Chokri Manai , Simone Warzel

The extended Hubbard Hamiltonian is a widely accepted model for uncovering the effects of strong correlations on the phase diagram of low-dimensional systems, and a variety of theoretical techniques have been applied to it. In this paper…

Strongly Correlated Electrons · Physics 2007-09-07 H. A. Craig , C. N. Varney , W. E. Pickett , R. T. Scalettar

In this paper we describe the electrons of the 1D Hubbard model by a fluid of unpaired rotated electrons and a fluid of zero-spin rotated-electron pairs. The rotated electrons are related to the original electrons by a mere unitary…

Strongly Correlated Electrons · Physics 2009-11-10 J. M. P. Carmelo , J. M. Roman , K. Penc

Motivated by the recent experimental progress on the strong spin-orbit-coupled rare earth triangular antiferromagnet, we analyze the highly anisotropic spin model that describes the interaction between the spin-orbit-entangled Kramers'…

Strongly Correlated Electrons · Physics 2016-07-13 Yao-Dong Li , Xiaoqun Wang , Gang Chen

We calculate the mesoscopic fluctuations of the magnetic anisotropy of ferromagnetic nanoparticles. A microscopic spin-orbit Hamiltonian considered as a perturbation of the much stronger exchange interaction first yields an explicit…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gonzalo Usaj , Harold U. Baranger

We present a theory for the spin excitations of the Kondo lattice. We derive an effective Hamiltonian, which describes Fermionic spin 1/2 charge fluctuations interacting with Bosonic triplet spin fluctuations. We show that already the…

Condensed Matter · Physics 2007-05-23 R. Eder

In this expository article we study the question of the existence of periodic orbits of prescribed energy for classical Hamiltonian systems on compact configuration spaces. We use a variational approach, by studying how the behavior of the…

Dynamical Systems · Mathematics 2015-04-22 Alberto Abbondandolo

We consider properties of a two-dimensional electron system in a random magnetic field. It is assumed that the magnetic field not only influences orbital electron motion but also acts on the electron spin. For calculations, we suggest a new…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kazutaka Takahashi , K. B. Efetov

We study the ground state quantum spin fluctuations around the N\'eel ordered state for the one-band ($t,U$) Hubbard model on a site-diluted square lattice. An effective spin Hamiltonian, $H_{\rm s}^{(4)}$, is generated using the canonical…

Statistical Mechanics · Physics 2009-06-13 J. -Y. P. Delannoy , A. G. Del Maestro , M. J. P. Gingras , P. C. W. Holdsworth