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Seminar on Theoretical and Computational Physics:
TitleYang-Baxter Integrability in 2-d Classical and 1-d Quantum Models
SpeakerProf. Paul A. Pearce
AffiliationSchool of Mathematics and Statistics, University of Melbourne, Australia
DateTuesday, 12-09-2017
Time10:00 AM
LocationMeeting room, first floor, Institute of physics, 10 Dao Tan, Ba Dinh, Hanoi
AbstractThis will be a gentle introduction to Yang-Baxter methods for the exact solution of 2-d classical lattice models and their associated 1-d quantum Hamiltonians. The emphasis will be on using local algebraic relations to establish commutation of transfer matrices. The exact solution of the spectra is then achieved by solving functional equations. Although there will not be time to discuss details in this talk, these methods can be applied to (i) spin and height models such as the Ising model and hard hexagon models, (ii) vertex models such as the 6- and 8-vertex models and associated Heisenberg and XYZ quantum chains and (iii) models with non-local interactions including dimers and percolation.
Host personTrịnh Xuân Hoàng