Commensurate and Incommensurate O(n) Spin Systems: Novel Even-Odd Effects, A Generalized Mermin-Wagner-Coleman Theorem, and Ground States
| dc.creator | Nussinov, Zohar | |
| dc.date | 2001-05-14 | |
| dc.date | 2004-04-29 | |
| dc.date.accessioned | 2026-07-07T02:41:24Z | |
| dc.date.available | 2026-07-07T02:41:24Z | |
| dc.description | We examine n component spin systems with arbitrary two spin interactions (of unspecified range) within a general framework to highlight some new subtleties present in incommensurate systems. We determine the ground states of all translationally invariant O(n>1) systems and prove that barring commensurability effects they are always spiral- no other ground states are possible. We study the effect of thermal fluctuations on the ground states to discover a novel odd-even n effect. Soft spin analysis suggests that algebraic long range order is possible in certain frustrated incommensurate even n systems while their odd n counterparts exhibit an exponential decay of correlations. We illustrate that many frustrated incommensurate continuous spin systems display smectic like thermodynamics. We report on a generalized Mermin-Wagner-Coleman theorem for all two dimensional systems (of arbitrary range) with analytic kernels in momentum space. A new relation between generalization Mermin-Wagner-Coleman bounds and dynamics is further reported. We suggest a link between a generalized Mermin-Wagner-Coleman theorem to divergent decoherence (or bandwidth) time scale in the quantum context. A generalization of the Peierls bound for commensurate systems with long range interactions is also discussed. We conclude with a discussion of O(n) spin dynamics in the general case. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0105253 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0105253 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/17727 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Commensurate and Incommensurate O(n) Spin Systems: Novel Even-Odd Effects, A Generalized Mermin-Wagner-Coleman Theorem, and Ground States | |
| dc.type | text |