RT Journal Article
T1 A nonvanishing spectral gap for AKLT models on generalized decorated graphs
A1 Young, Amanda
A1 Lucia, Angelo
AB We consider the spectral gap question for Affleck, Kennedy, Lieb, and Tasaki models defined on decorated versions of simple, connected graphs G. This class of decorated graphs, which are defined by replacing all edges of G with a chain of n sites, in particular includes any decorated multi-dimensional lattice. Using the Tensor Network States approach from [Abdul-Rahman et al., Analytic Trends in Mathematical Physics, Contemporary Mathematics (American Mathematical Society, 2020), Vol. 741, p. 1.], we prove that if the decoration parameter is larger than a linear function of the maximal vertex degree, then the decorated model has a nonvanishing spectral gap above the ground state energy.
PB AIP Publishing
SN 0022-2488
SN 1089-7658
YR 2023
FD 2023
LK https://hdl.handle.net/20.500.14352/96130
UL https://hdl.handle.net/20.500.14352/96130
LA eng
NO A. Lucia, and A. Young, “A nonvanishing spectral gap for AKLT models on generalized decorated graphs,” Journal of Mathematical Physics 64(4), 041902 (2023).
NO DFG
NO Agencia Estatal de Investigación (España)
NO Comunidad de Madrid
DS Docta Complutense
RD 21 abr 2025