Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2001-10-17
Phys. Rev. B 64, 245338 (2001)
Physics
Condensed Matter
Strongly Correlated Electrons
21 pages, 16 figures
Scientific paper
10.1103/PhysRevB.64.245338
The noncrossing approximation (NCA) is generalized to the multi-channel Kondo-spin Hamiltonian with arbitrary anisotropic exchange couplings and an external magnetic field, and applied -- in the framework of Matveev's mapping -- to the charge fluctuations in a single-electron box at the Coulomb blockade. The temperature dependences of the charge step and the capacitance are calculated for a narrow point contact. At low temperatures and close to the degeneracy point, the capacitance line shape exhibits an approximate scaling with U/\sqrt{T}, where U is the deviation in gate voltage from the degeneracy point. This scaling relation is proposed as a sharp experimental diagnostic for the non-Fermi-liquid physics of the system at low temperatures. Both the reliability and shortcomings of the Kondo NCA are discussed in detail. Through comparison with poor-man's scaling, we are able to pinpoint the omission of particle-particle processes as the origin of the NCA flaws. An extended diagrammatic scheme is devised to amend the NCA flaws.
Lebanon Eran
Schiller Avraham
Zevin Vilen
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