TY - JOUR
T1 - Quantum Criticality in the 2D Quasiperiodic Potts Model
AU - Agrawal, Utkarsh
AU - Gopalakrishnan, Sarang
AU - Vasseur, Romain
N1 - Funding Information:
The authors thank Snir Gazit, Sid Parameswaran, and Jed Pixley for useful discussions. This work was supported by the National Science Foundation under NSF Grant No. DMR-1653271 (S. G.), the U.S. Department of Energy, Office of Science, Basic Energy Sciences, under Early Career Award No. DE-SC0019168 (U. A. and R. V.), and the Alfred P. Sloan Foundation through a Sloan Research Fellowship (R. V.)
Publisher Copyright:
© 2020 American Physical Society.
PY - 2020/12/23
Y1 - 2020/12/23
N2 - 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. The correlation length exponent is found to be ν=1, saturating a modified version of the Harris-Luck criterion.
AB - 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. The correlation length exponent is found to be ν=1, saturating a modified version of the Harris-Luck criterion.
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U2 - 10.1103/PhysRevLett.125.265702
DO - 10.1103/PhysRevLett.125.265702
M3 - Article
C2 - 33449710
AN - SCOPUS:85099133741
SN - 0031-9007
VL - 125
JO - Physical review letters
JF - Physical review letters
IS - 26
M1 - 265702
ER -