Nematic valley ordering in quantum Hall systems
Physical Review B American Physical Society (APS) 82:3 (2010) 035428
AKLT models with quantum spin glass ground states
Physical Review B American Physical Society (APS) 81:17 (2010) 174204
Absence of Goldstone bosons on the Bethe lattice
Physical Review B American Physical Society (APS) 80:14 (2009) 144415
Charge 2e skyrmions in bilayer graphene.
Physical review letters 103:7 (2009) 076802
Abstract:
Quantum Hall states that result from interaction induced lifting of the eightfold degeneracy of the zeroth Landau level in bilayer graphene are considered. We show that at even filling factors electric charge is injected into the system in the form of charge 2e Skyrmions. This is a rare example of binding of charges in a system with purely repulsive interactions. We calculate the Skyrmion energy and size as a function of the effective Zeeman interaction and discuss the signatures of the charge 2e Skyrmions in the scanning probe experiments.Order and disorder in AKLT antiferromagnets in three dimensions
Physical Review B American Physical Society (APS) 79:2 (2009) 024408