Journal article
Anomalous thermal relaxation and pump-probe spectroscopy of two-dimensional topologically ordered systems
- Abstract:
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We study the behavior of linear and nonlinear spectroscopic quantities in two-dimensional topologically ordered systems, which host anyonic excitations exhibiting fractional statistics. We highlight the role that braiding phases between anyons have on the dynamics of such quasiparticles, which as we show dictates the behavior of both linear response coefficients at finite temperatures, as well as nonlinear pump-probe response coefficients. These quantities, which act as probes of temporal correlations in the system, are shown to obey distinctive universal forms at sufficiently long timescales. As well as providing an experimentally measurable fingerprint of anyonic statistics, the universal behavior that we find also demonstrates anomalously fast thermal relaxation: correlation functions decay as a “squished exponential” 𝐶(𝑡)∼exp(−[𝑡/𝜏]3/2) at long times. We attribute this unusual asymptotic form to the nonlocal nature of interactions between anyons, which allows relaxation to occur much faster than in systems with quasiparticles interacting via local, nonstatistical interactions. While our results apply to any Abelian or non-Abelian topological phase in two-dimensions, we discuss in particular the implications for candidate quantum spin liquid materials, wherein the relevant quantities can be measured using pre-existing time-resolved terahertz-domain spectroscopic techniques.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 626.9KB, Terms of use)
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- Publisher copy:
- 10.1103/physrevb.109.075108
Authors
- Funder identifier:
- https://ror.org/0472cxd90
- Grant:
- 804213
- Funder identifier:
- https://ror.org/0439y7842
- Grant:
- EP/S020527/1
- Publisher:
- American Physical Society
- Journal:
- Physical Review B More from this journal
- Volume:
- 109
- Issue:
- 7
- Article number:
- 075108
- Publication date:
- 2024-02-06
- Acceptance date:
- 2024-01-05
- DOI:
- EISSN:
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2469-9969
- ISSN:
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2469-9950
- Language:
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English
- Keywords:
- Pubs id:
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1716134
- Local pid:
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pubs:1716134
- Deposit date:
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2024-09-05
Terms of use
- Copyright holder:
- McGinley et al.
- Copyright date:
- 2024
- Rights statement:
- Copyright © 2024 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
- Licence:
- CC Attribution (CC BY)
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