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Title: Dynamical signature of fractionalization at a deconfined quantum critical point

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [4];  [5];  [6];  [7]
  1. Chinese Academy of Sciences, Beijing (China). Beijing National Lab. for Condensed Matter Physics and Inst. of Physics
  2. 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
  3. Harvard Univ, Cambridge, MA (United States). Dept. of Physics; Univ. of California, San Diego, CA (United States). Dept. of Physics
  4. Univ. of California, Santa Barbara, CA (United States). Dept. of Physics
  5. Harvard Univ, Cambridge, MA (United States). Dept. of Physics
  6. 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
  7. 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)
+ Show Author Affiliations

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.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1570229
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 17 Vol. 98; ISSN 2469-9950; ISSN PRBMDO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Gapped spin-1/2 spinon excitations in a new kagome quantum spin liquid compound Cu$_3$Zn(OH)$_6$FBr text January 2017
Intertwining topological order and broken symmetry in a theory of fluctuating spin density waves text January 2017
Duality between the deconfined quantum-critical point and the bosonic topological transition text January 2017
Continuous easy-plane deconfined phase transition on the kagome lattice text January 2017
Dynamics of Topological Excitations in a Model Quantum Spin Ice text January 2017
Intrinsic and emergent anomalies at deconfined critical points text January 2017
Dynamical Signature of Symmetry Fractionalization in Frustrated Magnets text January 2018
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Theoretical constraints for the magnetic-dimer transition in two-dimensional spin models text January 2005
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Cited By (11)

Revealing fermionic quantum criticality from new Monte Carlo techniques journal August 2019
Fidelity as a probe for a deconfined quantum critical point journal August 2019
Dynamics of compact quantum electrodynamics at large fermion flavor journal August 2019
Emergent symmetry and conserved current at a one-dimensional incarnation of deconfined quantum critical point journal September 2019
Fermion-induced quantum critical point in Dirac semimetals: A sign-problem-free quantum Monte Carlo study journal February 2020
Deconfined quantum critical point in one dimension journal April 2019
Role of Noether’s Theorem at the Deconfined Quantum Critical Point journal May 2019
Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: The Parent State of Quantum Phases journal May 2019
Signatures of a Deconfined Phase Transition on the Shastry-Sutherland Lattice: Applications to Quantum Critical SrCu 2 ( BO 3 ) 2 journal November 2019
Emergent Symmetry and Conserved Current at a One Dimensional Incarnation of Deconfined Quantum Critical Point text January 2019
Dynamics of Compact Quantum Electrodynamics at Large Fermion Flavor text January 2019

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