Journal
PHYSICAL REVIEW B
Volume 102, Issue 8, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.102.085140
Keywords
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Funding
- Department of Energy [de-sc0016239]
- Schmidt Fund for Innovative Research
- Simons Investigator Grant [404513]
- Packard Foundation
- National Science Foundation EAGER Grant [DMR 1643312]
- NSF-MRSEC [DMR-1420541]
- BSF Israel US foundation [2018226]
- ONR [N00014-20-1-2303]
- Gordon and Betty Moore Foundation [GBMF8685]
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We revisit the eta-pairing states in Hubbard models and explore their connections to quantum many-body scars to discover a universal scars mechanism. eta-pairing occurs due to an algebraic structure known as a spectrum generating algebra (SGA), giving rise to equally spaced towers of eigenstates in the spectrum. We generalize the original eta-pairing construction and show that several Hubbard-like models on arbitrary graphs exhibit SGAs, including ones with disorder and spin-orbit coupling. We further define a restricted spectrum generating algebra (RSGA) and give examples of perturbations to the Hubbard-like models that preserve an equally spaced tower of the original model as eigenstates. The states of the surviving tower exhibit a subthermal entanglement entropy, and we analytically obtain parameter regimes for which they lie in the bulk of the spectrum, showing that they are exact quantum many-body scars. The RSGA framework also explains the equally spaced towers of eigenstates in several well-known models of quantum scars, including the Affleck-Kennedy-Lieb-Tasaki model.
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