Abstract
In recent years, inelastic Raman scattering has been proven to be a valuable tool for probing collective excitations in strongly correlated electron systems because its polarization dependence allows to probe different regions of the Brollouin zone, see Devereaux and Hackl (2007) for a review. Inelastic Raman scattering is a photon-in photon-out process. Light couples to electronic charges in solids and the transferred energy can excite different types of excitations. For example, optical phonons lead to sharp lines at well-known positions and orientations of the incoming and outgoing photon polarizations, whereas at higher energies a much broader signal can be attributed to two-magnon scattering occurring in materials with antiferromagnetic correlations (Devereaux and Hackl 2007). In Mott insulators, the Raman excitation process couples the induced electron–hole pair exactly to the two-magnon states which are relevant for magnetism (Shastry and Shraiman 1990). Thereby, Raman scattering has been successfully used for understanding the dynamics and interactions of magnons in various antiferromagnetically ordered 3d transition metal oxides, especially in the high-Tc superconductor parent compounds (Chubukov and Frenkel 1995a,b; Blumberg et al. 1996, 1997).
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References
G. Baskaran, S. Mandal, R. Shankar, Exact results for spin dynamics and fractionalization in the Kitaev model. Phys. Rev. Lett. 98(24), 247201 (2007)
G. Blumberg, P. Abbamonte, M.V. Klein, W.C. Lee, D.M. Ginsberg, L.L. Miller, A. Zibold, Resonant two-magnon Raman scattering in cuprate antiferromagnetic insulators. Phys. Rev. B 53(18), R11930–R11933 (1996)
G. Blumberg, M. Kang, M.V. Klein, K. Kadowaki, C. Kendziora, Evolution of magnetic and superconducting fluctuations with doping of high-tc superconductors. Science 278(5342), 1427–1432 (1997)
O. Cépas, J.O. Haerter, C. Lhuillier, Detection of weak emergent brokensymmetries of the kagome antiferromagnet by Raman spectroscopy. Phys. Rev. B 77(17), 172406 (2008)
J. Chaloupka, G. Jackeli, G. Khaliullin, Kitaev-Heisenberg model on a honeycomb lattice: possible exotic phases in iridium oxides. Phys. Rev. Lett. 105(2), 027204 (2010)
A.V. Chubukov, D.M. Frenkel, Resonant two-magnon Raman scattering in antiferromagnetic insulators. Phys. Rev. Lett. 74(15), 3057–3060 (1995)
A.V. Chubukov, D.M. Frenkel, Resonant two-magnon Raman scattering in parent compounds of high-T c superconductors. Phys. Rev. B 52(13), 9760–9783 (1995)
T.P. Devereaux, R. Hackl, Inelastic light scattering from correlated electrons. Rev. Mod. Phys. 79(1), 175–233 (2007)
P.A. Fleury, R. Loudon, Scattering of light by one- and two-magnon excitations. Phys. Rev. 166(2), 514–530 (1968)
G. Jackeli, G. Khaliullin, Mott insulators in the strong spin-orbit coupling limit: from Heisenberg to a quantum compass and Kitaev models. Phys. Rev. Lett. 102(1), 017205 (2009)
W.-H. Ko, Z.-X. Liu, T.-K. Ng, P.A. Lee, Raman signature of the U(1) Dirac spin-liquid state in the spin-\(\frac{1} {2}\) kagome system. Phys. Rev. B 81(2), 024414 (2010)
V.N. Kotov, B. Uchoa, V.M. Pereira, F. Guinea, A.H. Castro Neto, Electron-electron interactions in graphene: current status and perspectives. Rev. Mod. Phys. 84(3), 1067–1125 (2012)
J. Reuther, R. Thomale, S. Trebst, Finite-temperature phase diagram of the Heisenberg-Kitaev model. Phys. Rev. B 84(10), 100406 (2011)
R. Schaffer, S. Bhattacharjee, Y.B. Kim, Quantum phase transition in Heisenberg-Kitaev model. Phys. Rev. B 86(22), 224417 (2012)
B.S. Shastry, B.I. Shraiman, Theory of Raman scattering in Mott-Hubbard systems. Phys. Rev. Lett. 65(8), 1068–1071 (1990)
Y. Singh, S. Manni, J. Reuther, T. Berlijn, R. Thomale, W. Ku, S. Trebst, P. Gegenwart. Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates. Phys. Rev. Lett. 108(12), 127203 (2012)
K. Tikhonov, M. Feigelman, A. Kitaev, Power-law spin correlations in a perturbed spin model on a honeycomb lattice. Phys. Rev. Lett. 106(6), 067203 (2011)
D. Wulferding, P. Lemmens, P. Scheib, J. Röder, P. Mendels, S. Chu, T. Han, Y. S. Lee, Interplay of thermal and quantum spin fluctuations in the kagome lattice compound herbertsmithite. Phys. Rev. B 82(14), 144412 (2010)
H. Yao, S.-C. Zhang, S.A. Kivelson algebraic spin liquid in an exactly solvable spin model. Phys. Rev. Lett. 102(21), 217202 (2009)
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Knolle, J. (2016). Raman Scattering. In: Dynamics of a Quantum Spin Liquid. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-23953-8_6
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