A $${{\mathbb {Z}}}_2$$-Index of Symmetry Protected Topological Phases with Time Reversal Symmetry for Quantum Spin Chains

Yoshiko Ogata

Type: Article

Publication Date: 2019-07-22

Citations: 24

DOI: https://doi.org/10.1007/s00220-019-03521-5

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Communications in Mathematical Physics - View
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Works Cited by This (28)

Action	Title	Year	Authors
+	Theory of Operator Algebras II	2003	Masamichi Takesaki
+	Endomorphisms of B(H)	1994	Ola Bratteli Palle E. T. Jørgensen Geoffrey L. Price
+ PDF Chat	A Class of Asymmetric Gapped Hamiltonians on Quantum Spin Chains and its Characterization III	2017	Yoshiko Ogata
+	The Split Property and the Symmetry Breaking¶of the Quantum Spin Chain	2001	Taku Matsui
+	Continuous analogues of Fock space	1989	William Arveson
+ PDF Chat	Symmetry protection of topological phases in one-dimensional quantum spin systems	2012	Frank Pollmann Erez Berg Ari M. Turner Masaki Oshikawa
+	Endomorphisms of B(H). II. Finitely Correlated States on On	1997	Ola Bratteli Palle E. T. Jørgensen
+ PDF Chat	An area law for one-dimensional quantum systems	2007	M. B. Hastings
+	Hidden<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>×<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>symmetry breaking in Haldane-gap …	1992	Tom Kennedy Hal Tasaki
+	Standard and split inclusions of von Neumann algebras	1984	Sergio Doplicher Roberto Longo