Chiral Central Charge from a Single Bulk Wave Function

Autor:	Isaac H. Kim, Bowen Shi, Kohtaro Kato, Victor V. Albert
Rok vydání:	2021
Předmět:	High Energy Physics - Theory Quantum Physics Condensed Matter - Strongly Correlated Electrons Strongly Correlated Electrons (cond-mat.str-el) High Energy Physics - Theory (hep-th) FOS: Physical sciences General Physics and Astronomy Quantum Physics (quant-ph)
Zdroj:	Physical review letters. 128(17)
ISSN:	1079-7114
Popis:	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. Comment: 4+6 pages, 6 figures, added references, minor changes
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c17fd00bfd5a38d472239caeb3b29387 https://pubmed.ncbi.nlm.nih.gov/35570463 Zobrazit plný text záznamu