Grassmann coherent states for spin systems
Short-time propagator algorithms and a discrete-time formalism are used in combination with a basis set involving Grassmann variables coherent states to get the generating function associated to a system containing spin degrees of freedom. This generating function leads, after an adequate tracing ov...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | JOUR |
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_01661280_v621_n1-2_p9_Anicich |
| Aporte de: |
| Sumario: | Short-time propagator algorithms and a discrete-time formalism are used in combination with a basis set involving Grassmann variables coherent states to get the generating function associated to a system containing spin degrees of freedom. This generating function leads, after an adequate tracing over Grassmann variables in the imaginary time domain, to the partition function. A spin 1/2 Hamiltonian involving the whole set of interactions is considered. The partition function, obtained as a cluster expansion expressed as an ordered sum over all possible sites, is more realistic than the partition function of the traditional Ising model involving only first neighbor interactions. © 2002 Elsevier Science B.V. All rights reserved. |
|---|