The one-dimensional Ising model with a transverse field is solved exactly by transforming the set of Pauli operators to a new set of Fermi operators. The elementary excitations, the ground-state energy and the free energy are found. The instantaneous correlation function between any two spins is calculated and this model shows a finite long-range order in the ground state when the transverse field is less than a critical value.
%0 Journal Article
%1 Pfeuty1970Onedimensional
%A Pfeuty, Pierre
%D 1970
%J Annals of Physics
%K ising
%N 1
%P 79--90
%R 10.1016/0003-4916(70)90270-8
%T The one-dimensional Ising model with a transverse field
%U http://dx.doi.org/10.1016/0003-4916(70)90270-8
%V 57
%X The one-dimensional Ising model with a transverse field is solved exactly by transforming the set of Pauli operators to a new set of Fermi operators. The elementary excitations, the ground-state energy and the free energy are found. The instantaneous correlation function between any two spins is calculated and this model shows a finite long-range order in the ground state when the transverse field is less than a critical value.
@article{Pfeuty1970Onedimensional,
abstract = {The one-dimensional Ising model with a transverse field is solved exactly by transforming the set of Pauli operators to a new set of Fermi operators. The elementary excitations, the ground-state energy and the free energy are found. The instantaneous correlation function between any two spins is calculated and this model shows a finite long-range order in the ground state when the transverse field is less than a critical value.},
added-at = {2014-01-09T15:14:33.000+0100},
author = {Pfeuty, Pierre},
biburl = {https://www.bibsonomy.org/bibtex/283190f73015cf6e8e848d33daa076d5f/jaspervh},
citeulike-article-id = {9752856},
citeulike-linkout-0 = {http://dx.doi.org/10.1016/0003-4916(70)90270-8},
doi = {10.1016/0003-4916(70)90270-8},
interhash = {dce9393c20d3f64a91a3f9b628312105},
intrahash = {83190f73015cf6e8e848d33daa076d5f},
issn = {00034916},
journal = {Annals of Physics},
keywords = {ising},
month = mar,
number = 1,
pages = {79--90},
posted-at = {2013-11-19 14:27:16},
priority = {2},
timestamp = {2014-01-09T15:14:33.000+0100},
title = {The one-dimensional Ising model with a transverse field},
url = {http://dx.doi.org/10.1016/0003-4916(70)90270-8},
volume = 57,
year = 1970
}