Condensed Matter Seminar Series

Exact and Simple Results for the XYZ and Strongly Interacting Fermion Chains

Paul Fendley

University of Virginia

Friday October 18,  1:30 pm,  Room 298,  Physics Building
NOTE IRREGULAR DAY AND TIME!

Abstract: Long ago, Onsager, Kaufman and Yang computed the spontaneous magnetization in the Ising model. Their result is remarkable not only in that it can be computed exactly, but in that the resulting formula is extremely simple. I will explain how similar results occur in models without free-fermion structure as well, for example in the XYZ spin chain when the couplings obey J_xJ_y + J_yJ_z + J_x J_z=0. I will also explain how (a potentially hidden) supersymmetry plays a crucial role.