A magnetic field induced two-dimensional stripping of the polaron

Peeters, F. M.; Devreese, J. T.

doi:10.1007/3-540-11996-5_59

Cited by 1 publication

(1 citation statement)

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“…However, our proof shows that the true physical quantities are smooth and that the discontinuities, found in several variational calculations, are artifacts of the approximation made. Concerning these calculations, we mention Peeters and Devreese, who calculate the ground state energy, free energy [3, 51, the polaron mass [3, 61, the polaron radius [4] as well as the number of virtual phonons in the ground state [4] and the magnetoabsorption spectrum [7] within the anisotropic Feynman approximation for a three-dimensional Frohlich magnetopolaron. A similar non-analytical behaviour is found for a two-dimensional polaron (see the work of Wu Xiaoguang, Peeters and Devreese [SI).…”

Section: Introduction To the Phase Transition Problemmentioning

confidence: 99%

Mode Stabilization by an Axial Magnetic Field for Long Resonator Cases of a He–Ne Laser

Nishiyama

Shimauchi

Kikuchi

1976

Jpn. J. Appl. Phys.

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In the recent literature it was frequently claimed, that a polaron system, described by the parameters a (electron-phonon coupling), B (magnetic field) and T (temperature) should undergo a phase transition for certain values of (z, B, T ) . As usual, such a transition would lead to a discontinuity in the free energy F = F(a, 5, T ) or its derivatives. We prove that no such transition exists. F = F(a, B, T ) is a real analytical function in z and E for all T (including T = 0). The shortcoming of all previous "proofs" is, that they all use variational procedures, which may cause artificial discontinuities. In fact, some authors have mentioned themselves, that their results are variational, so that the discontinuities which they encounter could be artifacts of their approximation. Our results can readily be transferred to the case of lower spatial dimensions. Further extensions to related systems like quantum well structures are possible.

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Section: Introduction To the Phase Transition Problemmentioning

confidence: 99%