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Chiral Central Charge from a Single Bulk Wave Function.

Phys Rev Lett

April 2022

Joint Center for Quantum Information and Computer Science, National Institute of Standards and Technology and University of Maryland, College Park 20899, Maryland, USA.

A (2+1)-dimensional gapped quantum many-body system can have a topologically protected energy current at its edge. The magnitude of this current is determined entirely by the temperature and the chiral central charge, a quantity associated with the effective field theory of the edge. We derive a formula for the chiral central charge that, akin to the topological entanglement entropy, is completely determined by the many-body ground state wave function in the bulk.

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