University of Minnesota
School of Physics & Astronomy

Physics and Astronomy Calendar

Wednesday, October 14th 2015
1:25 pm:
Speaker: Oleg Tchernyashov, Johns Hopkins
Subject: Anyons in solvable models of quantum magnets

Following Anderson's 1973 conjecture of a resonating valence-bond (RVB) state, theorists have been actively exploring quantum spin liquids – states of magnets without long-range order. In the last 15 years we have progressed from knowing what quantum spin liquids are not (states with local order) to understanding what they are. Several solvable models of spin liquids have been shown to be instances of lattice gauge theories (Kitaev). An alternative perspective is a picture of fluctuating closed strings (Wen). An open string contains two "fundamental" particles on its ends, which can be bosons, fermions, or anyons, depending on the model. Although these models, featuring multi-spin interactions, look contrived, more realistic models (e.g., Kitaev's honeycomb) share many of their exotic features. I will show how certain lattice defects of Kitaev's honeycomb model can bind Majorana zero modes.

Faculty Host: Natalia Perkins

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