Quantum Criticality in the 2D Quasiperiodic Potts Model
Abstract
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.
- Authors:
-
- Univ. of Massachusetts, Amherst, MA (United States)
- City Univ. of New York, NY (United States)
- Publication Date:
- Research Org.:
- Univ. of Massachusetts, Amherst, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
- OSTI Identifier:
- 1749843
- Grant/Contract Number:
- SC0019168; DMR-1653271
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 125; Journal Issue: 26; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Critical phenomena; Phase transitions; Quantum phase transitions; Ferromagnets; Quantum spin models; Renormalization group
Citation Formats
Agrawal, Utkarsh, Gopalakrishnan, Sarang, and Vasseur, Romain. Quantum Criticality in the 2D Quasiperiodic Potts Model. United States: N. p., 2020.
Web. doi:10.1103/physrevlett.125.265702.
Agrawal, Utkarsh, Gopalakrishnan, Sarang, & Vasseur, Romain. Quantum Criticality in the 2D Quasiperiodic Potts Model. United States. https://doi.org/10.1103/physrevlett.125.265702
Agrawal, Utkarsh, Gopalakrishnan, Sarang, and Vasseur, Romain. Wed .
"Quantum Criticality in the 2D Quasiperiodic Potts Model". United States. https://doi.org/10.1103/physrevlett.125.265702. https://www.osti.gov/servlets/purl/1749843.
@article{osti_1749843,
title = {Quantum Criticality in the 2D Quasiperiodic Potts Model},
author = {Agrawal, Utkarsh and Gopalakrishnan, Sarang and Vasseur, Romain},
abstractNote = {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.},
doi = {10.1103/physrevlett.125.265702},
journal = {Physical Review Letters},
number = 26,
volume = 125,
place = {United States},
year = {Wed Dec 23 00:00:00 EST 2020},
month = {Wed Dec 23 00:00:00 EST 2020}
}
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