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Bipartite Sachdev-Ye models with Read-Saleur symmetries

Mar 22, 2024

14 pages

Published in:

Phys.Rev.B 110 (2024) 12, 125140

Published: Sep 15, 2024

e-Print:

2403.15270 [cond-mat.stat-mech]

DOI:

10.1103/PhysRevB.110.125140 (publication)

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Abstract: (APS)

We introduce an

SU (M)

-symmetric disordered bipartite spin model with unusual characteristics. Although superficially similar to the Sachdev-Ye (SY) model, it has several markedly different properties for

M \geq 3

. In particular, it has a large nontrivial nullspace whose dimension grows exponentially with system size. The states in this nullspace are frustration-free and are ground states when the interactions are ferromagnetic. The exponential growth of the nullspace leads to Hilbert-space fragmentation and a violation of the eigenstate thermalization hypothesis. We demonstrate that the commutant algebra responsible for this fragmentation is a nontrivial subalgebra of the Read-Saleur commutant algebra of certain nearest-neighbor models such as the spin-1 biquadratic spin chain. We also discuss the low-energy behavior of correlations for the disordered version of this model in the limit of a large number of spins and large

M

, using techniques similar to those applied to the SY model. We conclude by generalizing the Shiraishi-Mori embedding formalism to nonlocal models, and apply it to turn some of our nullspace states into quantum many-body scars.

Note:

14 pages

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