Magnetic polarons in weakly doped high-Tc superconductors

Details Magnetic polarons in weakly doped high-Tc superconductors Magnetic polarons in weakly doped high-Tc superconductors

2001-05-13

arxiv.org/abs/cond-mat/0105254v3

Phys. Rev. B 66, 064521 (2002)

Physics

Condensed Matter

Superconductivity

revised, revtex-4, 12 pages 8 eps figures

Scientific paper

10.1103/PhysRevB.66.064521

We consider a spin Hamiltonian describing $d$-$d$ exchange interactions between localized spins $d$ of a finite antiferromagnet as well as $p$-$d$ interactions between a conducting hole ($p$) and localized spins. The spin Hamiltonian is solved numerically with use of Lanczos method of diagonalization. We conclude that $p$-$d$ exchange interaction leads to localization of magnetic polarons. Quantum fluctuations of the antiferromagnet strengthen this effect and make the formation of polarons localized in one site possible even for weak $p$-$d$ coupling. Total energy calculations, including the kinetic energy, do not change essentially the phase diagram of magnetic polarons formation. For parameters reasonable for high-$T_c$ superconductors either a polaron localized on one lattice cell or a small ferron can form. For reasonable values of the dielectric function and $p$-$d$ coupling, the contributions of magnetic and phonon terms in the formation of a polaron in weakly doped high-$T_c$ materials are comparable.

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