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arXiv · 1204.5660

Multipolarons in a Constant Magnetic Field

Ioannis Anapolitanos·Marcel Griesemer
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Abstract

The binding of a system of $N$ polarons subject to a constant magnetic field of strength $B$ is investigated within the Pekar-Tomasevich approximation. In this approximation the energy of $N$ polarons is described in terms of a non-quadratic functional with a quartic term that accounts for the electron-electron self-interaction mediated by phonons. The size of a coupling constant, denoted by $α$, in front of the quartic is determined by the electronic properties of the crystal under consideration, but in any case it is constrained by $0<α<1$. For all values of $N$ and $B$ we find an interval $α_{N,B}<α<1$ where the $N$ polarons bind in a single cluster described by a minimizer of the Pekar-Tomasevich functional. This minimizer is exponentially localized in the $N$-particle configuration space $\R^{3N}$.

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Ioannis Anapolitanos, Marcel Griesemer. 2013-01-25. Multipolarons in a Constant Magnetic Field. https://arxiv.org/abs/1204.5660

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