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η-pairing states as true scars in an extended Hubbard model

Mark, Daniel K. and Motrunich, Olexei I. (2020) η-pairing states as true scars in an extended Hubbard model. Physical Review B, 102 (7). Art. No. 075132. ISSN 2469-9950. doi:10.1103/PhysRevB.102.075132.

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The η-pairing states are a set of exactly known eigenstates of the Hubbard model on hypercubic lattices, first discovered by Yang [C. N. Yang, Phys. Rev. Lett. 63, 2144 (1989)]. These states are not many-body scar states in the Hubbard model because they occupy unique symmetry sectors defined by the so-called η-pairing SU(2) symmetry. We study an extended Hubbard model with bond-charge interactions, popularized by Hirsch [J. E. Hirsch, Physica C 158, 326 (1989)], where the η-pairing states survive without the η-pairing symmetry and become true scar states. We also discuss similarities between the η-pairing states and exact scar towers in the spin-1 XY model found by Schecter and Iadecola [M. Schecter and T. Iadecola, Phys. Rev. Lett. 123, 147201 (2019)], and systematically arrive at all nearest-neighbor terms that preserve such scar towers in one dimension. We also generalize these terms to arbitrary bipartite lattices. Our study of the spin-1 XY model also leads us to several scarred models, including a spin-1/2 J₁−J₂ model with Dzyaloshinskii-Moriya interaction, in realistic quantum magnet settings in one and two dimensions.

Item Type:Article
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URLURL TypeDescription Paper
Mark, Daniel K.0000-0002-5017-5218
Motrunich, Olexei I.0000-0001-8031-0022
Alternate Title:Eta-pairing states as true scars in an extended Hubbard Model
Additional Information:© 2020 American Physical Society. Received 8 June 2020; accepted 31 July 2020; published 24 August 2020. We thank B. Andrei Bernevig, Anushya Chandran, Matthew Fisher, Jim Garrison, Vedika Khemani, Ryan Mishmash, Sanjay Moudgalya, and Nicolas Regnault for valuable discussions, and in particular Cheng-Ju Lin for many discussions and collaborations on related topics. We thank Hosho Katsura for valuable discussions and comments on the paper. D.K.M. acknowledges funding from the James C. Whitney SURF Fellowship, Caltech Student-Faculty Programs. This work was also supported by National Science Foundation Grant No. DMR-1619696.
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Caltech Summer Undergraduate Research Fellowship (SURF)UNSPECIFIED
Issue or Number:7
Record Number:CaltechAUTHORS:20200609-072308647
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103782
Deposited By: Tony Diaz
Deposited On:09 Jun 2020 14:34
Last Modified:16 Nov 2021 18:25

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