Chiral Central Charge from a Single Bulk Wave Function

Kim, Isaac H.; Shi, Bowen; Kato, Kohtaro; Albert, Victor V.

doi:10.1103/PhysRevLett.128.176402

Chiral Central Charge from a Single Bulk Wave Function

Isaac H. Kim
(
- UC, Davis (main) and
- Sydney U.
)
,
Bowen Shi
(
- UC, San Diego
)
,
Kohtaro Kato
(
- Osaka U. (main) and
- Nagoya U. (main)
)
,
Victor V. Albert
(
- Joint Quantum Inst., College Park
)

Oct 13, 2021

10 pages

Published in:

Phys.Rev.Lett. 128 (2022) 17, 176402

Published: Apr 28, 2022

e-Print:

2110.06932 [quant-ph]

DOI:

10.1103/PhysRevLett.128.176402 (publication)

View in:

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Abstract: (APS)

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. According to our formula, nonzero chiral central charge gives rise to a topological obstruction that prevents the ground state wave function from being real valued in any local product basis.

Note:

4+6 pages, 6 figures, added references, minor changes

ground state: wave function
energy: current
entropy: entanglement
many-body problem: ground state
chiral
central charge
topological
temperature
effective field theory

References(61)

Figures(0)

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