Superuniversality from disorder at two-dimensional topological phase transitions
Abstract
We investigate the effects of quenched randomness on topological quantum phase transitions in strongly interacting two-dimensional systems. We focus first on transitions driven by the condensation of a subset of fractionalized quasiparticles (“anyons”) identified with “electric charge” excitations of a phase with intrinsic topological order. All other anyons have nontrivial mutual statistics with the condensed subset and hence become confined at the anyon condensation transition. Furthermore, using a combination of microscopically exact duality transformations and asymptotically exact real-space renormalization group techniques applied to these two-dimensional disordered gauge theories, we argue that the resulting critical scaling behavior is “superuniversal” across a wide range of such condensation transitions and is controlled by the same infinite-randomness fixed point as that of the 2D random transverse-field Ising model. We validate this claim using large-scale quantum Monte Carlo simulations that allow us to extract zero-temperature critical exponents and correlation functions in (2+1)D disordered interacting systems. We discuss generalizations of these results to a large class of ground-state and excited-state topological transitions in systems with intrinsic topological order as well as those where topological order is either protected or enriched by global symmetries. When the underlying topological order and the symmetry group are Abelian, our resultsmore »
- Authors:
-
[5]
- Korea Inst. for Advanced Study, Seoul (Korea)
- Clarendon Lab., Oxford (United Kingdom)
- Univ. of Texas, Austin, TX (United States)
- Univ. of Massachusetts, Amherst, MA (United States)
- Hebrew Univ. of Jerusalem (Israel)
- Publication Date:
- Research Org.:
- Univ. of Massachusetts, Amherst, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1749929
- Grant/Contract Number:
- SC0019168
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 102; Journal Issue: 22; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Anyons; Dualities in field theory; Gauge theories; Lattice gauge theory; Many-body localization; Quantum criticality; Symmetry protected topological states; Topological field theories; Topological phase transition; Topological phases of matter; Duality; Quantum Monte Carlo; Renormalization group
Citation Formats
Kang, Byungmin, Parameswaran, S. A., Potter, Andrew C., Vasseur, Romain, and Gazit, Snir. Superuniversality from disorder at two-dimensional topological phase transitions. United States: N. p., 2020.
Web. doi:10.1103/physrevb.102.224204.
Kang, Byungmin, Parameswaran, S. A., Potter, Andrew C., Vasseur, Romain, & Gazit, Snir. Superuniversality from disorder at two-dimensional topological phase transitions. United States. https://doi.org/10.1103/physrevb.102.224204
Kang, Byungmin, Parameswaran, S. A., Potter, Andrew C., Vasseur, Romain, and Gazit, Snir. Mon .
"Superuniversality from disorder at two-dimensional topological phase transitions". United States. https://doi.org/10.1103/physrevb.102.224204. https://www.osti.gov/servlets/purl/1749929.
@article{osti_1749929,
title = {Superuniversality from disorder at two-dimensional topological phase transitions},
author = {Kang, Byungmin and Parameswaran, S. A. and Potter, Andrew C. and Vasseur, Romain and Gazit, Snir},
abstractNote = {We investigate the effects of quenched randomness on topological quantum phase transitions in strongly interacting two-dimensional systems. We focus first on transitions driven by the condensation of a subset of fractionalized quasiparticles (“anyons”) identified with “electric charge” excitations of a phase with intrinsic topological order. All other anyons have nontrivial mutual statistics with the condensed subset and hence become confined at the anyon condensation transition. Furthermore, using a combination of microscopically exact duality transformations and asymptotically exact real-space renormalization group techniques applied to these two-dimensional disordered gauge theories, we argue that the resulting critical scaling behavior is “superuniversal” across a wide range of such condensation transitions and is controlled by the same infinite-randomness fixed point as that of the 2D random transverse-field Ising model. We validate this claim using large-scale quantum Monte Carlo simulations that allow us to extract zero-temperature critical exponents and correlation functions in (2+1)D disordered interacting systems. We discuss generalizations of these results to a large class of ground-state and excited-state topological transitions in systems with intrinsic topological order as well as those where topological order is either protected or enriched by global symmetries. When the underlying topological order and the symmetry group are Abelian, our results provide prototypes for topological phase transitions between distinct many-body localized phases.},
doi = {10.1103/physrevb.102.224204},
journal = {Physical Review B},
number = 22,
volume = 102,
place = {United States},
year = {Mon Dec 28 00:00:00 EST 2020},
month = {Mon Dec 28 00:00:00 EST 2020}
}
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