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Title: Probing strong correlations with light scattering: Example of the quantum Ising model

Abstract

In this article we calculate the nonlinear susceptibility and the resonant Raman cross section for the paramagnetic phase of the ferromagnetic quantum Ising model in one dimension. In this region the spectrum of the Ising model has a gap m. The Raman cross section has a strong singularity when the energy of the outgoing photon is at the spectral gap ω f ≈ m and a square root threshold when the frequency difference between the incident and outgoing photons ω i₋ω f≈2m. Finally, the latter feature reflects the fermionic nature of the Ising model excitations.

Authors:
 [1];  [2];  [3]
  1. Yerevan Physics Inst., Yerevan (Armenia); Federal University of Rio Grande do Norte, Natal, Rio Grande do Norte (Brazil)
  2. Free University of Berlin, Berlin (Germany). Inst. for Theoretical Physics
  3. Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Dept.
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1336169
Alternate Identifier(s):
OSTI ID: 1330485
Report Number(s):
BNL-113143-2016-JA
Journal ID: ISSN 2469-9950; PRBMDO; R&D Project: PO015
Grant/Contract Number:  
SC0012704; AC02-98CH10886
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 94; Journal Issue: 15; 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

Citation Formats

Babujian, H. M., Karowski, M., and Tsvelik, A. M. Probing strong correlations with light scattering: Example of the quantum Ising model. United States: N. p., 2016. Web. doi:10.1103/PhysRevB.94.155156.
Babujian, H. M., Karowski, M., & Tsvelik, A. M. Probing strong correlations with light scattering: Example of the quantum Ising model. United States. doi:10.1103/PhysRevB.94.155156.
Babujian, H. M., Karowski, M., and Tsvelik, A. M. Sat . "Probing strong correlations with light scattering: Example of the quantum Ising model". United States. doi:10.1103/PhysRevB.94.155156. https://www.osti.gov/servlets/purl/1336169.
@article{osti_1336169,
title = {Probing strong correlations with light scattering: Example of the quantum Ising model},
author = {Babujian, H. M. and Karowski, M. and Tsvelik, A. M.},
abstractNote = {In this article we calculate the nonlinear susceptibility and the resonant Raman cross section for the paramagnetic phase of the ferromagnetic quantum Ising model in one dimension. In this region the spectrum of the Ising model has a gap m. The Raman cross section has a strong singularity when the energy of the outgoing photon is at the spectral gap ωf ≈ m and a square root threshold when the frequency difference between the incident and outgoing photons ωi₋ωf≈2m. Finally, the latter feature reflects the fermionic nature of the Ising model excitations.},
doi = {10.1103/PhysRevB.94.155156},
journal = {Physical Review B},
number = 15,
volume = 94,
place = {United States},
year = {2016},
month = {10}
}

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Works referenced in this record:

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