engleski

Exact solution of the magnetic breakdown problem in the quasi 1-D systems with transverse dimerization

We present the exact solution of one-electron problem of quasi 1-dimensional band with an inter-band gap due to transverse lattice dimerization in the presence of finite magnetic field. We obtained the one-electron spectrum and wave functions as the solutions of generalized Hill's problem with simple periodic coefficients. Classically observed, our solutions are valid to describe electrons spending as much time in the "junctions" around the gap, where magnetic breakdown dominates, as on their quasi-classical orbits. We confront these results to the well known Slutskin-Kadigrobov solution2 valid in the limit of strong magnetic breakdown along the "junctions". Such configuration is analogous to Stark interferometer producing rapid oscillations in electronic properties1. This model can be applied to Bachgaard salt (TMTSF)2ClO4 with anion ordering where such oscillations were observed3. Furthermore, introducing a finite displacement of chains into transverse direction, one encounters the qualitatively more complex Hill's problem with two-periodic coefficients. New physical properties emerging from such approach and the possibility of measuring the geometric displacement from the period of rapid oscillations modulation remains opened.

magnetic breakdown; kvasi-one-dimensional; Stark interferometer; oscillations; dimerization; anion gap

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