A Note on the Spectrum of a Two-particle Rashba Hamiltonian

DOI10.5506/APHYSPOLB.45.877zbMATH Open1371.81112arXiv1404.1316OpenAlexW2327410828MaRDI QIDQ5359966

Rytis Juršėnas

Publication date: 27 September 2017

Published in: Acta Physica Polonica B (Search for Journal in Brave)

Abstract: In a series of recent papers it was shown that, when the attractive s-wave interaction is dominant, the spin-orbit coupled fermions form a bound state. Attributed to a convenient momentum representation, it became a common condition of agreement to express the bound state as a function of the center-of-mass momentum Q. In this letter we prove that the bound state of Rashba fermions does not depend on the chosen representation. That is, all the states characterized by nonzero Q fail to obey the translation symmetry.

Full work available at URL: https://arxiv.org/abs/1404.1316

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (2)

Spectral properties of a two-particle hamiltonian on a d-dimensional lattice ⋮ Spectral properties at a threshold for two-channel Hamiltonians. I: Abstract theory

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