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

Babujian, H. M.; Karowski, M.; Tsvelik, A. M.

doi:10.1103/PhysRevB.94.155156

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

Journal Article · Sat Oct 01 00:00:00 EDT 2016 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.94.155156· OSTI ID:1336169

Babujian, H. M. ^[1]; Karowski, M. ^[2]; Tsvelik, A. M. ^[3]

Yerevan Physics Inst., Yerevan (Armenia); Federal University of Rio Grande do Norte, Natal, Rio Grande do Norte (Brazil)
Free University of Berlin, Berlin (Germany). Inst. for Theoretical Physics
Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Dept.

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.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0012704; AC02-98CH10886

OSTI ID:: 1336169

Alternate ID(s):: OSTI ID: 1330485

Report Number(s):: BNL-113143-2016-JA; PRBMDO; R&D Project: PO015

Journal Information:: Physical Review B, Vol. 94, Issue 15; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 3 works

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Resolving continua of fractional excitations by spinon echo in THz 2D coherent spectroscopy Wan, Yuan; Armitage, N. P. arXiv https://doi.org/10.48550/arxiv.1905.11420	text	January 2019

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