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Tuesday, March 31st 2015

4:30 pm:

Fractionalization is a property of both topological phases and spin liquids. Moreover, in many cases it may be the easiest characteristic to use to identify these systems in experiments. I will talk about recent work in classifying the way that symmetry acts on fractional quasiparticles [1]. I will introduce the classification scheme and discuss the measurable signatures in relation to exactly solvable examples such as Kitaev’s Toric Code model [2]. (Recent applications are [3] and [4]).

[1] “Classifying fractionalization,” Essin and Hermele, PRB 87, 104406 (2013)

[2] “Spectroscopic signatures of crystal momentum fractionalization,” Essin and Hermele, PRB 90, 121102(R) (2014)

[3] “Numerical detection of symmetry-enriched topological phases with space-group symmetry,“ Wang, Essin, Hermele, and Motrunich: PRB 91, 121103(R) (2015)

[4] “Detecting crystal symmetry fractionalization from the ground state: Application to Z2 spin liquids on the kagome lattice,“ Qi and Fu, PRB 91, 100401(R) (2015)

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