Scaling of entanglement entropy at the quantum critical point in random spin-1 chain

ORAL

Abstract

We study the scaling properties of entanglement entropy (EE) near the disorder-induced topological phase transition between Haldane and Random Singlet phases in a spin-1 chain using the density-matrix renormalization group scheme. The EE is found to diverge logarithmically in system size with an effective central charge ceff=1.17(4) at the quantum critical point (QCP) and exhibits scaling behavior with a correlation length exponent ν=2.28(5). Our unbiased method establishes that the QCP is in universality class of the infinite-randomness fixed point predicted by previous studies based on strong disorder renormalization group.

* PK was supported by the Leo P. Kadanoff Fellowship at the University of Chicago, NSF through the Princeton University (PCCM) Materials Research Science and Engineering Center DMR2011750 with additional funding received from DOE BES Grant No. DE-SC0002140 at the initial stages of the project. RNB acknowledges support from Princeton University's UK foundation, and hospitality of the Aspen Center for Physics where this project was conceived.

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Publication: arXiv:2307.00062

Presenters

  • Prashant Kumar

    University of Chicago

Authors

  • Prashant Kumar

    University of Chicago

  • Ravindra N Bhatt

    Princeton University