# Math Physics Seminar | Michael Aizenman, Princeton | Geometric analysis of frustration in a class of SU(2S+1) invariant quantum spin chains’’ | Jadwin A06

Tue, Oct 22, 2019, 4:30 pm

PLEASE NOTE THIS TALK FROM 10/8 HAS BEEN RESCHEDLED TO 10/22/2019 -- THANK YOU!

Unlike their classical counterparts, quantum antiferromagnetic systems exhibit ground state frustration effects even in one dimension.  A case in point is the SU(2S+1) invariant spin chain, with the interaction between pairs of neighboring S-spins given by a one dimensional projection on the pair’s total spin zero state .

We show that in the infinite volume limit for any S>1/2 the system has a pair of distinct ground states, each gapped and exhibiting spatial energy oscillations.  The  analysis utilizes a stochastic geometric representation of the system’s thermal states, which allows to apply to this quantum system methods which were originally developed in the context of the  classical Q-state Potts model.

(Talk based on a joint work with Hugo Dumnil-Copin.)

Location: