NONLINEAR FIELD ANALYSIS OF THE HUBBARD MODEL IN ONE AND TWO DIMENSIONS IN THE CONTINUUM LIMIT

Autor:	K. J. E. Vos, D. Sept, J.M. Dixon, M. L. A. Nip, Jack A. Tuszynski
Rok vydání:	2000
Předmět:	Physics Hubbard model Equations of motion Statistical and Nonlinear Physics Field analysis Condensed Matter Physics Vortex symbols.namesake Nonlinear system Classical mechanics Quantum mechanics symbols Lagrangian coherent structures Hamiltonian (quantum mechanics) Field equation
Zdroj:	International Journal of Modern Physics B. 14:1859-1890
ISSN:	1793-6578 0217-9792
Popis:	We investigate the Hubbard Hamiltonian's properties in the continuum limit by implementing the procedures of the Method of Coherent Structures (MCS). We obtain field equations of motion and analyse the phase dynamics of the resultant classical spin fields. We have performed analytical and numerical calculations to find appropriate physically acceptable solutions to the equations of motion in one-dimensional space. In two-dimensional space, among other types, we have found several different spin phases of vortex type, spiral patterns and parabolic spin arrangements. Our results are consistent with earlier Hartree–Fock finite-grid numerical simulations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ae498a9208e8c0c1b5a78d50e0dd5553 https://doi.org/10.1142/s0217979200001709 Zobrazit plný text záznamu