%0 Journal Article
%T Analytical results for a coagulation/decoagulation model on an inhomogeneous lattice
%+ Laboratoire Charles Coulomb (L2C)
%A Campré, Nicolas
%Z . Réf Journal: SciPost Phys. 2, 006 (2017)
%< avec comité de lecture
%Z L2C:17-014
%@ 2542-4653
%J SciPost Physics
%I SciPost Foundation
%V 2
%P 006
%8 2017
%D 2017
%Z 1612.07036
%R 10.21468/SciPostPhys.2.1.006
%Z Physics [physics]/Mathematical Physics [math-ph]
%Z Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]
%Z Mathematics [math]/Mathematical Physics [math-ph]Journal articles
%X We show that an inhomogeneous coagulation/decoagulation model can be mapped to a quadratic fermionic model via a Jordan-Wigner transformation. The spectrum for this inhomogeneous model is computed exactly and the spectral gap is described for some examples. We construct our inhomogeneous model from two different homogeneous models joined by one special bond (impurity). The homogeneous models we started with are the coagulation/decoagulation models studied previously using the Jordan-Wigner transformation.
%G English
%2 https://hal.science/hal-01480834/document
%2 https://hal.science/hal-01480834/file/SciPostPhys_2_1_006.pdf
%L hal-01480834
%U https://hal.science/hal-01480834
%~ CNRS
%~ L2C
%~ TDS-MACS
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021