mriselMagnetic Resonance in SolidsMagnetic Resonance in Solids2072-5981Kazan Federal Universitymrisel-144Research ArticleСтатьиSpin response in HTSC cuprates: generalized RPA approach with projection operators methodEreminE. V.

Kremlevskaya, 18, Kazan 420008

meremin@kpfu.ruShigapovI. M.

Kremlevskaya, 18, Kazan 420008

EreminI. M.

Kremlevskaya, 18, Kazan 420008; D-44801 Bochum, Germany

Kazan Federal UniversityRussian FederationKazan Federal University; Institut fur Theoretische Physik III, Ruhr-Universit at BochumRussian Federation201419042014162SPECIAL ISSUE dedicated to Boris I. Kochelaev's 80th birthday14206 (21 pp.)Copyright © Eremin E.V., Shigapov I.M., Eremin I.M., 20242024Eremin E.V., Shigapov I.M., Eremin I.M.Eremin E.V., Shigapov I.M., Eremin I.M.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.mrsej.ru/jour/article/view/144

We derive the dynamical spin susceptibility in the t-J-G model combining the random phase approximation (RPA) and projection operator method, which allows describing the mutual interplay between the local and the itinerant components of susceptibility. Near the antiferromagnetic wave vector the calculated dispersion of the spin excitations reproduces well the so-called hour-glass dispersion, characteristic for several layered cuprates. It is formed as a result of competition between the original spin-gap in magnon-like excitations spectrum and the superconducting gap, which affects the itinerant component of the susceptibility. Furthermore, the calculated collective spin excitations along (0,0)-(0,π) are in agreement with the positions of the absorption peaks in the inelastic X-ray scattering spectra. They refer to the paramagnon-like modes, characteristic to the itinerant spin system, rather than magnon-like excitations that originate from short range order effect in the system of local spins at Cu sites.

HTSCcupratesdynamical spin susceptibilitycollective spin excitationsThis work is supported by RFBR Grant 13-02-00492 aReferencesEremin M.V., Aleev A.A., Eremin I.M. JETP 106, 752 (2008) [Zh. Eksp. Teor. Fiz. 133, 862 (2008), in Russian]Eremin M.V., Aleev A.A., Eremin I.M. JETP 106, 752 (2008) [Zh. Eksp. Teor. Fiz. 133, 862 (2008), in Russian]Eremin M.V., Shigapov I.M., Eremin I.M. Eur. Phys. J. B 85, 131 (2012)Eremin M.V., Shigapov I.M., Eremin I.M. Eur. Phys. J. B 85, 131 (2012)Zhang F.C. Rice T.M. Phys. Rev. B 37, R3759 (1988)Zhang F.C. Rice T.M. Phys. Rev. B 37, R3759 (1988)Eremin M.V., Solov’yanov S.G., Varlamov S.V., Brinkman D., Mali M., Markendorf R., Roos J. JETP Lett. 60, 125 (1994) [Pisma Zh. Eksp. Teor. Fiz. 60, 118 (1994), in Russian]Eremin M.V., Solov’yanov S.G., Varlamov S.V., Brinkman D., Mali M., Markendorf R., Roos J. JETP Lett. 60, 125 (1994) [Pisma Zh. Eksp. Teor. Fiz. 60, 118 (1994), in Russian]Eremin M.V., Solovjanov S.G., Varlamov S.V. J. Phys. Chem. Solids 56, 1713 (1995)Eremin M.V., Solovjanov S.G., Varlamov S.V. J. Phys. Chem. Solids 56, 1713 (1995)Plakida N.M., Hayn R., Richard J.-L. Phys. Rev. B 51, 16599 (1995)Plakida N.M., Hayn R., Richard J.-L. Phys. Rev. B 51, 16599 (1995)Anderson P.W. Science 235, 1196 (1987)Anderson P.W. Science 235, 1196 (1987)Shimahara H., Takada S. J. Phys. Soc. Jpn. 61, 989 (1992)Shimahara H., Takada S. J. Phys. Soc. Jpn. 61, 989 (1992)Kondo J., Yamaji K. Prog. Theor. Phys. 47, 807 (1972)Kondo J., Yamaji K. Prog. Theor. Phys. 47, 807 (1972)Zavidonov A.Yu., Brinkmann D. Phys. Rev. B 58, 12486 (1998)Zavidonov A.Yu., Brinkmann D. Phys. Rev. B 58, 12486 (1998)Jackeli G., Plakida N.M. Theor. Math. Phys. 114, 335 (1998) [TMF 114, 426 (1998), in Russian]Jackeli G., Plakida N.M. Theor. Math. Phys. 114, 335 (1998) [TMF 114, 426 (1998), in Russian]Winterfeldt S., Ihle D. Phys. Rev. B 58, 9402 (1998)Winterfeldt S., Ihle D. Phys. Rev. B 58, 9402 (1998)Winterfeldt S., Ihle D. Phys. Rev. B 59, 6010 (1999)Winterfeldt S., Ihle D. Phys. Rev. B 59, 6010 (1999)Sherman A., Schreiber M. Phys. Rev. B 68, 094519 (2003)Sherman A., Schreiber M. Phys. Rev. B 68, 094519 (2003)Sherman A., Schreiber M. Eur. Phys. J. B 32, 203 (2003)Sherman A., Schreiber M. Eur. Phys. J. B 32, 203 (2003)Kuz’min E.V. Low Temp. Phys. 31, 143 (2005)Kuz’min E.V. Low Temp. Phys. 31, 143 (2005)Vladimirov A., Ihle D., Plakida N. Theor. Mat. Phys. 152, 1331 (2007) [TMF 152, 538 (2007), in Russian]Vladimirov A., Ihle D., Plakida N. Theor. Mat. Phys. 152, 1331 (2007) [TMF 152, 538 (2007), in Russian]Mikheenkov A.V., Barabanov A.F. JETP 105, 347 (2007) [Zh. Eksp. Teor. Fiz. 132, 392 (2007), in Russian]Mikheenkov A.V., Barabanov A.F. JETP 105, 347 (2007) [Zh. Eksp. Teor. Fiz. 132, 392 (2007), in Russian]Anderson P.W., Lee P.A., Randeria M., Rice T.M., Trivedi N., Zhang F.C. J. Phys.: Condens. Matter 16, R755 (2004)Anderson P.W., Lee P.A., Randeria M., Rice T.M., Trivedi N., Zhang F.C. J. Phys.: Condens. Matter 16, R755 (2004)Eremin M.V., Shigapov I.M., Thuy H.T.D. J. Phys.: Condens. Matter, 25, 345701 (2013)Eremin M.V., Shigapov I.M., Thuy H.T.D. J. Phys.: Condens. Matter, 25, 345701 (2013)Field J.J. J. Phys. C: Solid State Phys. 5, 664 (1972)Field J.J. J. Phys. C: Solid State Phys. 5, 664 (1972)Auslender M.I., Irkhin V.Yu., Katsnelson M.I. J. Phys. C: Solid State Phys. 21, 5521 (1988)Auslender M.I., Irkhin V.Yu., Katsnelson M.I. J. Phys. C: Solid State Phys. 21, 5521 (1988)Mayer T., Eremin M., Eremin I., Meier P.F. J. Phys.: Condens. Matter 19, 116209 (2007)Mayer T., Eremin M., Eremin I., Meier P.F. J. Phys.: Condens. Matter 19, 116209 (2007)Eremin M.V., Solov’yanov S.G., Varlamov S.V. JETP 85, 963 (1997) [Zh. Eksp. Teor. Fiz. 112, 1763 (1997), in Russian]Eremin M.V., Solov’yanov S.G., Varlamov S.V. JETP 85, 963 (1997) [Zh. Eksp. Teor. Fiz. 112, 1763 (1997), in Russian]Norman M.R. Phys. Rev. B 63, 092509 (2000)Norman M.R. Phys. Rev. B 63, 092509 (2000)Eremin M.V., Larionov I.A., Lyubin I.E. J. Phys.: Condens. Matter 22, 165704 (2007)Eremin M.V., Larionov I.A., Lyubin I.E. J. Phys.: Condens. Matter 22, 165704 (2007)Bourges P., in The Gap Symmetry and Fluctuations in High Temperature Superconductors, ed. by J. Bok, G. Deutscher, D. Pavuna, and S. A. Wolf, Plenum, New York, pp. 349-371 (1998)Bourges P., in The Gap Symmetry and Fluctuations in High Temperature Superconductors, ed. by J. Bok, G. Deutscher, D. Pavuna, and S. A. Wolf, Plenum, New York, pp. 349-371 (1998)Reznik D., Bourges P., Pintschovius L., Endoh Y., Sidis Y., Masui T., Tajima S. Phys. Rev. Lett. 93, 207003 (2004)Reznik D., Bourges P., Pintschovius L., Endoh Y., Sidis Y., Masui T., Tajima S. Phys. Rev. Lett. 93, 207003 (2004)Reznik D., Ismer J.-P., Eremin I., Pintschovius L., Wolf T., Arai M., Endoh Y., Masui T., Tajima S. Phys. Rev. Lett. 78, 132503 (2008)Reznik D., Ismer J.-P., Eremin I., Pintschovius L., Wolf T., Arai M., Endoh Y., Masui T., Tajima S. Phys. Rev. Lett. 78, 132503 (2008)Pailh`es S., Sidis Y., Bourges P., Hinkov V., Ivanov A., Ulrich C., Regnault L.P., Keimer B. Phys. Rev. Lett. 93, 167001 (2004)Pailh`es S., Sidis Y., Bourges P., Hinkov V., Ivanov A., Ulrich C., Regnault L.P., Keimer B. Phys. Rev. Lett. 93, 167001 (2004)Arai M., Nishijima T., Endoh Y., Egami T., Tajima S., Tomimoto K., Shiohara Y., Takahashi M., Garrett A., Bennington S.M. Phys. Rev. Lett. 83, 608 (1999)Arai M., Nishijima T., Endoh Y., Egami T., Tajima S., Tomimoto K., Shiohara Y., Takahashi M., Garrett A., Bennington S.M. Phys. Rev. Lett. 83, 608 (1999)Dai P., Mook H.A., Hunt R.D., Do˘gan F. Phys. Rev. B 63, 054525 (2001)Dai P., Mook H.A., Hunt R.D., Do˘gan F. Phys. Rev. B 63, 054525 (2001)Bourges P., Sidis Y., Fong H.F., Regnault L.P., Bossy J., Ivanov A., Keimer B. Science 288, 1234 (2000)Bourges P., Sidis Y., Fong H.F., Regnault L.P., Bossy J., Ivanov A., Keimer B. Science 288, 1234 (2000)Le Tacon M., Ghiringhelli G., Chaloupka J., Moretti Sala M., Hinkov V., Haverkort M.W., Minola M., Bakr M., Zhou K.J., Blanco-Canosa S., Monney C., Song Y.T., Sun G.L., Lin C.T., De Luca G.M., Salluzzo M., Khaliullin G., Schmitt T., Braicovich L., Keimer B. Nat. Phys. 7, 725 (2011)Le Tacon M., Ghiringhelli G., Chaloupka J., Moretti Sala M., Hinkov V., Haverkort M.W., Minola M., Bakr M., Zhou K.J., Blanco-Canosa S., Monney C., Song Y.T., Sun G.L., Lin C.T., De Luca G.M., Salluzzo M., Khaliullin G., Schmitt T., Braicovich L., Keimer B. Nat. Phys. 7, 725 (2011)Le Tacon M., Minola M., Peets D.C., Moretti Sala M., Blanco-Canosa S., Hinkov V., Liang R., Bonn D.A., Hardy W.N., Lin C.T., Schmitt T., Braicovich L., Ghiringhelli G., Keimer B. Phys. Rev. B 88, 020501(R) (2013)Le Tacon M., Minola M., Peets D.C., Moretti Sala M., Blanco-Canosa S., Hinkov V., Liang R., Bonn D.A., Hardy W.N., Lin C.T., Schmitt T., Braicovich L., Ghiringhelli G., Keimer B. Phys. Rev. B 88, 020501(R) (2013)Braicovich L., van den Brink J., Bisogni V., Moretti Sala M., Ament L.J.P., Brookes N.B., De Luca G.M., Salluzzo M., Schmitt T., Strocov V.N., Ghiringhelli G. Phys. Rev. Lett. 104, 077002 (2010)Braicovich L., van den Brink J., Bisogni V., Moretti Sala M., Ament L.J.P., Brookes N.B., De Luca G.M., Salluzzo M., Schmitt T., Strocov V.N., Ghiringhelli G. Phys. Rev. Lett. 104, 077002 (2010)Dean M.P.M., James A.J.A., Springell R.S., Liu X., Monney C., Zhou K.J., Konik R.M., Wen J.S., Xu Z.J., Gu G.D., Strocov V.N., Schmitt T., Hill J.P. Phys. Rev. Lett. 110, 147001 (2013)Dean M.P.M., James A.J.A., Springell R.S., Liu X., Monney C., Zhou K.J., Konik R.M., Wen J.S., Xu Z.J., Gu G.D., Strocov V.N., Schmitt T., Hill J.P. Phys. Rev. Lett. 110, 147001 (2013)Dean M.P.M., Dellea G., Springell R.S., Yakhou-Harris F., Kummer K., Brookes N.B., Liu X., Sun Y-J., Strle J., Schmitt T., Braicovich L., Ghiringhelli G., Bo˘zovi´c I., Hill J.P. Nat. Mater. 12, 1019 (2013)Dean M.P.M., Dellea G., Springell R.S., Yakhou-Harris F., Kummer K., Brookes N.B., Liu X., Sun Y-J., Strle J., Schmitt T., Braicovich L., Ghiringhelli G., Bo˘zovi´c I., Hill J.P. Nat. Mater. 12, 1019 (2013)

The authors declare that there are no conflicts of interest present.