Quantum Criticality in the 2D Quasiperiodic Potts Model

Agrawal, Utkarsh; Gopalakrishnan, Sarang; Vasseur, Romain

doi:10.1103/physrevlett.125.265702

Quantum Criticality in the 2D Quasiperiodic Potts Model

Journal Article · Wed Dec 23 00:00:00 EST 2020 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.125.265702· OSTI ID:1749843

Agrawal, Utkarsh ^[1]; Gopalakrishnan, Sarang ^[2]; Vasseur, Romain ^[3]

Univ. of Massachusetts, Amherst, MA (United States); UMass Amherst
City Univ. of New York, NY (United States)
Univ. of Massachusetts, Amherst, MA (United States)

Quantum critical points in quasiperiodic magnets can realize new universality classes, with critical properties distinct from those of clean or disordered systems. Here, we study quantum phase transitions separating ferromagnetic and paramagnetic phases in the quasiperiodic q-state Potts model in 2+1D. Using a controlled real-space renormalization group approach, we find that the critical behavior is largely independent of q, and is controlled by an infinite-quasiperiodicity fixed point. In conclusion, the correlation length exponent is found to be ν = 1, saturating a modified version of the Harris-Luck criterion.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Massachusetts, Amherst, MA (United States)

Sponsoring Organization:: National Science Foundation; USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0019168

OSTI ID:: 1749843

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 26 Vol. 125; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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