Abstract
Starting from the three-band p — d Hubbard Hamiltonian we derive the effective single-correlated model Hamiltonian including electron-phonon interaction of quasiparticles with optical phonons and strong electron correlations. Within an effective Hamiltonian we analyze their influence on the dynamical spin susceptibility in layered cuprates. We find an isotope effect on resonance peak in the magnetic spin susceptibility, Im ϰ(q, ω), seen by inelastic neutron scattering. It results from both the electron-phonon coupling and the electronic correlation effects taken into account beyond random phase approximation(RPA) scheme.
Keywords
- High-Tc cuprates
- spin susceptibility
- electron-phonon interaction
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Chubukov A.V., Pines D., and Schmalian J., (2003). “A Spin Fluctuation Model for d-wave Superconductivity” in The Physics of Conventional and Unconventional Superconductors eds. by Bennemann K.H. and Ketterson J.B., Vol. 1 (Springer-Verlag).
He H., Bourges P., Sidis Y., Ulrich C., Regnault L.P., Pailhes S., Berzigiarova N.S., Kolesnikov N.N., and Keimer B., (2002). Magnetic Resonant Mode in the Single-Layer High-Temperature Superconductor Tl2Ba2CuO6+δ. Science 295:1045–1047.
See for review Bourges P., (1998). “From Magnons to the Resonance Peak: Spin Dynamics in High-Tc Superconducting Cuprates by Inelastic Neutron Scattering” in The Gap Symmetry and Fluctuations in High Temperature Superconductors edited by Bok J., Deutscher G., Pavuna D., and Wolf S.A. (Plenum Press), pp.349–371.
Khasanov R., Eshchenko D.G., Luetkens H., Morenzoni E., Prokscha T., Suter A., Garifianov N., Mali M., Roos J., Conder K., and Keller H., (2003). The oxygen-isotope effect on the in-plane penetration depth in underdoped Y1−x PrxBa2Cu3O7−δ as revealed by muon-spin rotation. J. Phys.: Condens. Matter 15:L17–L24.
McQueeney R.J., Sarrao J.L., Pagliuso P.G., Stephens P.W., and Osborn R., (2001). Mixed Lattice and Electronic States in High-Temperature Superconductors. Phys. Rev. Lett., 87:077001.
Pintschovius L., Endoh Y., Reznik D., Hiraka H., Tranquada J.M., Reichardt W., Uchiyama H., Masui T., Tajima S., (2003). Evidence for Dynamic Charge Stripes in the Phonons of Optimally Doped YBCO. cond-mat/0308357 (unpublished).
For review of earlier results see Kulic M., (2000). Interplay of electron-phonon interaction and strong correlations: the possible way to high-temperature superconductivity. Phys. Rep. 338:1–264.
Lanzara A., private communication.
Schrieffer J.R., and Wolf P.A., (1966). Relation between the Anderson and Kondo Hamiltonians. Phys. Rev. 149:491–492.
Kugel K.I., and Khomskii D.L., (1980). Polaron effects and exchange interaction in magnetic insulators with Jahn-Teller ions. Zh. Eksp. Teor. Fiz. 79:987–1005 [Sov. Phys. JETP 52:501–515].
Eremin I., Kamaev O., and Eremin M.V., (2004). Possible isotope effect on the resonance peak formation in high-Tc cupraes. Phys. Rev. B 69:094517.
Zhang F.C., and Rice T.M., (1988). Effective Hamiltonian for the superconducting Cu oxides. Phys. Rev. B 37:3759–3761.
Zhao G.-M., Hunt M.B., Keller H., and Mueller K.A., (1997). Evidence for polaronic supercarriers in the copper oxide superconductors La2−x SrxCuO4. Nature 385:236–239.
Zhao G.-M., Keller H., and Conder K., (2001). Unconventional isotope effects in the hightemperature cuprate superconductors. J. Phys.: Condens. Matter 13:R569–R587.
Hubbard J., and Jain K.P., (1968). Generalized spin susceptibility in the correlated narrowenergy-band model. J. Phys. C (Proc. Phys. Soc.), Ser. 21:1650–1657.
Plakida N.M., Hayn R., and Richard J.L., (1995). Two-band singlet-hole model for the copper oxide plane. Phys. Rev. B 51:16599–16607.
Zavidonov A.Yu., and Brinkmann D., (1998). Evolution of antiferromagnetic short-range order with doping in high-Tc superconductors. Phys. Rev. B 58:12486–12494.
Eremin M., Eremin I., and Varlamov S., (2001). Dynamical charge susceptibility in layered cuprates: Beyond the conventional random-phase-approximation scheme. Phys. Rev. B 64:214512. Eremin I., (1997), Physica (Amsterdam) B, 234–236, 792.
Onufrieva F., and Pfeuty P., (2002). Spin dynamics of a two-dimensional metal in a superconducting state: Application to the high-Tc cuprates Phys. Rev. B 65:054515; Manske D., Eremin I., and Bennemann K.H., (2001). Analysis of the resonance peak and magnetic coherence seen in inelastic neutron scattering of cuprate superconductors: A consistent picture with tunneling and conductivity data. Phys. Rev. B 63:054517.
Norman M.R. (2001). Magnetic collective mode dispersion in high-temperature superconductors. Phys. Rev. B 63:092509.
Arai M., Nishijima T., Endoh Y., Egami T., Tajima S., Tomimoto T., Shiohara Y., Takahashi M., Garrett A., and Bennington S.M., (1999). Incommensurate Spin Dynamics of Underdoped Superconductor YBa2Cu3O6.7. Phys. Rev. Lett. 83:608–612.
Reznik D., Bourges P., Pintschovius L., Endoh Y., Sidis Y., Shiokara Y., and Tajima S., (2003). Dispersion of Magnetic Excitations in Superconducting Optimally Doped YBa2Cu3O6.95. cond-mat/0307591 (unpublished).
Eremin M.V., Eremin I.M., Larionov I.A., and Terzi A. V., (2002). Polaron Effects on Superexchange Interaction: Isotope Shifts of TN, Tc, and T* in Layered Copper Oxides. Pis’ma Zh. Eksp. Teor. Fiz. 75:467–470 [JETP Lett. 75:395–398].
Zhao G.-M., Singh K.K., and Morris D.E., (1994). Oxygen isotope effect on Neel temperature in various antiferromagnetic cuprates. Phys. Rev. B 50:4112–4117.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer
About this paper
Cite this paper
Eremin, M., Eremin, I. (2005). Dynamical Spin Susceptibility in Singlet-Correlated Band Model. In: Ashkenazi, J., et al. New Challenges in Superconductivity: Experimental Advances and Emerging Theories. NATO Science Series II: Mathematics, Physics and Chemistry, vol 183. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3085-1_28
Download citation
DOI: https://doi.org/10.1007/1-4020-3085-1_28
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3083-3
Online ISBN: 978-1-4020-3085-7
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)
