TY - JOUR
T1 - Pfaffian Correlation Functions of Planar Dimer Covers
AU - Aizenman, Michael
AU - Valcázar, Manuel Laínz
AU - Warzel, Simone
N1 - Publisher Copyright:
© 2016, Springer Science+Business Media New York.
PY - 2017/2/1
Y1 - 2017/2/1
N2 - The Pfaffian structure of the boundary monomer correlation functions in the dimer-covering planar graph models is rederived through a combinatorial/topological argument. These functions are then extended into a larger family of order–disorder correlation functions which are shown to exhibit Pfaffian structure throughout the bulk. Key tools involve combinatorial switching symmetries which are identified through the loop-gas representation of the double dimer model, and topological implications of planarity.
AB - The Pfaffian structure of the boundary monomer correlation functions in the dimer-covering planar graph models is rederived through a combinatorial/topological argument. These functions are then extended into a larger family of order–disorder correlation functions which are shown to exhibit Pfaffian structure throughout the bulk. Key tools involve combinatorial switching symmetries which are identified through the loop-gas representation of the double dimer model, and topological implications of planarity.
UR - http://www.scopus.com/inward/record.url?scp=85008194300&partnerID=8YFLogxK
U2 - 10.1007/s10955-016-1684-8
DO - 10.1007/s10955-016-1684-8
M3 - Article
AN - SCOPUS:85008194300
SN - 0022-4715
VL - 166
SP - 1078
EP - 1091
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 3-4
ER -