Amplitude Mode in Three-Dimensional Dimerized Antiferromagnets

Amplitude Mode in Three-Dimensional Dimerized Antiferromagnets

The amplitude ("Higgs") mode is a ubiquitous collective excitation related to spontaneous breaking of a continuous symmetry. We combine quantum Monte Carlo (QMC) simulations with stochastic analytic continuation to investigate the dynamics of the amplitude mode in a three-dimensional dimer...

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Published in:Physical review letters Vol. 118; no. 14; p. 147207
Main Authors: Qin, Yan Qi, Normand, B, Sandvik, Anders W, Meng, Zi Yang
Format: Journal Article
Language:English
Published: United States 07-04-2017
Subjects:
Amplitudes
Computer simulation
Dimers
Dynamical systems
Excitation
Mathematical analysis
Monte Carlo methods
Scaling
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Abstract The amplitude ("Higgs") mode is a ubiquitous collective excitation related to spontaneous breaking of a continuous symmetry. We combine quantum Monte Carlo (QMC) simulations with stochastic analytic continuation to investigate the dynamics of the amplitude mode in a three-dimensional dimerized quantum spin system. We characterize this mode by calculating the spin and dimer spectral functions on both sides of the quantum critical point, finding that both the energies and the intrinsic widths of the excitations satisfy field-theoretical scaling predictions. While the line width of the spin response is close to that observed in neutron scattering experiments on TlCuCl_{3}, the dimer response is significantly broader. Our results demonstrate that highly nontrivial dynamical properties are accessible by modern QMC and analytic continuation methods.
AbstractList The amplitude ("Higgs") mode is a ubiquitous collective excitation related to spontaneous breaking of a continuous symmetry. We combine quantum Monte Carlo (QMC) simulations with stochastic analytic continuation to investigate the dynamics of the amplitude mode in a three-dimensional dimerized quantum spin system. We characterize this mode by calculating the spin and dimer spectral functions on both sides of the quantum critical point, finding that both the energies and the intrinsic widths of the excitations satisfy field-theoretical scaling predictions. While the line width of the spin response is close to that observed in neutron scattering experiments on TlCuCl_{3}, the dimer response is significantly broader. Our results demonstrate that highly nontrivial dynamical properties are accessible by modern QMC and analytic continuation methods.
The amplitude ("Higgs") mode is a ubiquitous collective excitation related to spontaneous breaking of a continuous symmetry. We combine quantum Monte Carlo (QMC) simulations with stochastic analytic continuation to investigate the dynamics of the amplitude mode in a three-dimensional dimerized quantum spin system. We characterize this mode by calculating the spin and dimer spectral functions on both sides of the quantum critical point, finding that both the energies and the intrinsic widths of the excitations satisfy field-theoretical scaling predictions. While the line width of the spin response is close to that observed in neutron scattering experiments on TlCuCl sub(3), the dimer response is significantly broader. Our results demonstrate that highly nontrivial dynamical properties are accessible by modern QMC and analytic continuation methods.
ArticleNumber 147207
Author Qin, Yan Qi
Sandvik, Anders W
Meng, Zi Yang
Normand, B
Author_xml – sequence: 1
  givenname: Yan Qi
  surname: Qin
  fullname: Qin, Yan Qi
  organization: Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
– sequence: 2
  givenname: B
  surname: Normand
  fullname: Normand, B
  organization: Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland
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  givenname: Anders W
  surname: Sandvik
  fullname: Sandvik, Anders W
  organization: Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, USA
– sequence: 4
  givenname: Zi Yang
  surname: Meng
  fullname: Meng, Zi Yang
  organization: Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
BackLink https://www.ncbi.nlm.nih.gov/pubmed/28430475$$D View this record in MEDLINE/PubMed
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Snippet The amplitude ("Higgs") mode is a ubiquitous collective excitation related to spontaneous breaking of a continuous symmetry. We combine quantum Monte Carlo...
The amplitude ("Higgs") mode is a ubiquitous collective excitation related to spontaneous breaking of a continuous symmetry. We combine quantum Monte Carlo...
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SubjectTerms Amplitudes
Computer simulation
Dimers
Dynamical systems
Excitation
Mathematical analysis
Monte Carlo methods
Scaling
Title Amplitude Mode in Three-Dimensional Dimerized Antiferromagnets
URI https://www.ncbi.nlm.nih.gov/pubmed/28430475
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