Infinitely improvable upper bounds in the theory of polarons

• Main Author: A.V. Soldatov
• Format: Article
• Language: English
• Published: Institute for Condensed Matter Physics 2010-01-01
• Series: Condensed Matter Physics
• Subjects: Fro"hlich polaron model; upper bound estimates; variational method; ground state energy
• Online Access: http://dx.doi.org/10.5488/CMP.13.43701

An infinite convergent sequence of improving non-increasing upper bounds to the low-lying branch of the slow-moving "physical" Fröhlich polaron ground-state energy spectral curve, adjacent to the ground state energy of the polaron at rest, was obtained by means of generalized variational method. The proposed approach is especially well-suited for massive analytical and numerical computations of experimentally measurable properties of realistic polarons, such as inverse effective mass tensor and excitation gap, and can be elaborated even further, without major alterations, to allow for treatment of multitudinous polaron-like models, those describing polarons of various sorts placed in external magnetic and electric fields among them.