Dynamical signature of fractionalization at a deconfined quantum critical point
Abstract
Deconfined quantum critical points govern continuous quantum phase transitions at which fractionalized (deconfined) degrees of freedom emerge. Here we study dynamical signatures of the fractionalized excitations in a quantum magnet (the easy-plane J-Q model) that realize a deconfined quantum critical point with emergent O(4) symmetry. By means of large-scale quantum Monte Carlo simulations and stochastic analytic continuation of imaginary-time correlation functions, we obtain the dynamic spin-structure factors in the $S^x$ and $S^z$ channels. In both channels, we observe broad continua that originate from the deconfined excitations. We further identify several distinct spectral features of the deconfined quantum critical point, including the lower edge of the continuum and its form factor on moving through the Brillouin zone. We provide field-theoretical and lattice model calculations that explain the overall shapes of the computed spectra, which highlight the importance of interactions and gauge fluctuations to explain the spectral-weight distribution. We make further comparisons with the conventional Landau O(2) transition in a different quantum magnet, at which no signatures of fractionalization are observed. The distinctive spectral signatures of the deconfined quantum critical point suggest the feasibility of its experimental detection in neutron scattering and nuclear magnetic resonance experiments.
- Authors:
-
- Chinese Academy of Sciences, Beijing (China). Beijing National Lab. for Condensed Matter Physics and Inst. of Physics
- Chinese Academy of Sciences, Beijing (China). Beijing National Lab. for Condensed Matter Physics and Inst. of Physics; Univ. of Chinese Academy of Sciences, Beijing (China). School of Physical Sciences
- Harvard Univ, Cambridge, MA (United States). Dept. of Physics; Univ. of California, San Diego, CA (United States). Dept. of Physics
- Univ. of California, Santa Barbara, CA (United States). Dept. of Physics
- Harvard Univ, Cambridge, MA (United States). Dept. of Physics
- Chinese Academy of Sciences, Beijing (China). Beijing National Lab. for Condensed Matter Physics and Inst. of Physics; Boston Univ., Boston, MA (United States). Dept. of Physics
- Chinese Academy of Sciences, Beijing (China). Beijing National Lab. for Condensed Matter Physics and Inst. of Physics; University of Chinese Academy of Sciences, Beijing (China). CAS Center of Excellence in Topological Quantum Computation and School of Physical Sciences; Songshan Lake Materials Lab., Dongguan, Guangdong (China)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1570229
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 98; Journal Issue: 17; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Ma, Nvsen, Sun, Guang-Yu, You, Yi-Zhuang, Xu, Cenke, Vishwanath, Ashvin, Sandvik, Anders W., and Meng, Zi Yang. Dynamical signature of fractionalization at a deconfined quantum critical point. United States: N. p., 2018.
Web. doi:10.1103/physrevb.98.174421.
Ma, Nvsen, Sun, Guang-Yu, You, Yi-Zhuang, Xu, Cenke, Vishwanath, Ashvin, Sandvik, Anders W., & Meng, Zi Yang. Dynamical signature of fractionalization at a deconfined quantum critical point. United States. https://doi.org/10.1103/physrevb.98.174421
Ma, Nvsen, Sun, Guang-Yu, You, Yi-Zhuang, Xu, Cenke, Vishwanath, Ashvin, Sandvik, Anders W., and Meng, Zi Yang. Fri .
"Dynamical signature of fractionalization at a deconfined quantum critical point". United States. https://doi.org/10.1103/physrevb.98.174421. https://www.osti.gov/servlets/purl/1570229.
@article{osti_1570229,
title = {Dynamical signature of fractionalization at a deconfined quantum critical point},
author = {Ma, Nvsen and Sun, Guang-Yu and You, Yi-Zhuang and Xu, Cenke and Vishwanath, Ashvin and Sandvik, Anders W. and Meng, Zi Yang},
abstractNote = {Deconfined quantum critical points govern continuous quantum phase transitions at which fractionalized (deconfined) degrees of freedom emerge. Here we study dynamical signatures of the fractionalized excitations in a quantum magnet (the easy-plane J-Q model) that realize a deconfined quantum critical point with emergent O(4) symmetry. By means of large-scale quantum Monte Carlo simulations and stochastic analytic continuation of imaginary-time correlation functions, we obtain the dynamic spin-structure factors in the $S^x$ and $S^z$ channels. In both channels, we observe broad continua that originate from the deconfined excitations. We further identify several distinct spectral features of the deconfined quantum critical point, including the lower edge of the continuum and its form factor on moving through the Brillouin zone. We provide field-theoretical and lattice model calculations that explain the overall shapes of the computed spectra, which highlight the importance of interactions and gauge fluctuations to explain the spectral-weight distribution. We make further comparisons with the conventional Landau O(2) transition in a different quantum magnet, at which no signatures of fractionalization are observed. The distinctive spectral signatures of the deconfined quantum critical point suggest the feasibility of its experimental detection in neutron scattering and nuclear magnetic resonance experiments.},
doi = {10.1103/physrevb.98.174421},
journal = {Physical Review. B},
number = 17,
volume = 98,
place = {United States},
year = {Fri Nov 16 00:00:00 EST 2018},
month = {Fri Nov 16 00:00:00 EST 2018}
}
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