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Coexistence of two components in magnetic excitations of La$$_{2-x}$$Sr$$_{x}$$CuO$$_{4}$$ ($$x$$ = 0.10 and 0.16)

Sato, Kentaro*; Ikeuchi, Kazuhiko*; Kajimoto, Ryoichi  ; Wakimoto, Shuichi; Arai, Masatoshi*; Fujita, Masaki*

To elucidate the spin dynamics of La$$_{2-x}$$Sr$$_{x}$$CuO$$_{4}$$, which couples with the charge degree of freedom, the spin excitations spanning the characteristic energy ($$E_mathrm{cross}$$ $$sim$$ 35--40 meV) are investigated for underdoped $$x$$ = 0.10 and optimally doped (OP) $$x$$ = 0.16 through inelastic neutron scattering measurements. Analysis based on a two-component picture of high-quality data clarified the possible coexistence of upright standing incommensurate (IC) excitations with gapless commensurate (C) excitations in the energy-momentum space. The IC component weakens the intensity toward $$E_mathrm{cross}$$ with increasing energy transfer ($$hbaromega$$), whereas the C component strengthens at high-$$hbaromega$$ regions. The analysis results imply that the superposition of two components with a particular intensity balance forms an hourglass-shaped excitation in appearance. Furthermore, the temperature dependence of the intensity of each component exhibits different behaviors; the IC component disappears near the pseudo-gap temperature ($$T^*$$) upon warming, whereas the C component is robust against temperature. These results suggest the itinerant electron spin nature and the localized magnetism of the parent La$$_{2}$$CuO$$_{4}$$ in IC and C excitations, respectively, similar to the spin excitations in the OP YBa$$_{2}$$Cu$$_{3}$$O$$_{6+delta}$$ and HgBa$$_{2}$$CuO$$_{4+delta}$$ with higher superconducting-transition temperatures.



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