Construction of a well-defined free energy from the harmonic approximation for Josephson junctions
R. S. Fishman
DOI 10.1103/PhysRevB.38.11996 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
The trial free energy of the harmonic approximation, which has been widely used to study Josephson junctions, diverges to negative infinity in the normal state for any finite temperature because a nonperiodic, harmonic Hamiltonian is used to describe a periodic system. In this paper, I employ a periodic, scalloped potential to construct a well-defined free energy, which is then minimized to obtain self-consistent solutions that are close to the harmonic solutions when phase fluctuations are small.
Similar papers
Mesoscopic theory of the Josephson junction
similarity 0.88Thomas J. Maldonado et al.
Source status unknown — claims are unverified
Josephson Junction with a Magnetic-Field Tunable Ground State
similarity 0.87E. Goldobin et al.
Source status unknown — claims are unverified
Theory of coherent quantum phase slips in Josephson junction chains with periodic spatial modulations
similarity 0.87Aleksandr E. Svetogorov et al.
Source status unknown — claims are unverified
Josephson radiation patterns in underdamped topological Josephson junctions
similarity 0.87Yuejian Zhang et al.
Source status unknown — claims are unverified
Pure 2nd harmonic current phase relation in Spin filter Josephson junctions
similarity 0.86Avradeep Pal et al. · 2014 · arXiv:1401.5253
Source status unknown — claims are unverified
Method for reliable realization of a φ Josephson junction
similarity 0.86N. G. Pugach et al.
Source status unknown — claims are unverified