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The Coulomb Blockade in Quantum Boxes Eran Lebanon, 1 Avraham Schiller, 1 and Frithjof B. Anders 2

Summary: The Coulomb Blockade in Quantum Boxes
Eran Lebanon, 1 Avraham Schiller, 1 and Frithjof B. Anders 2
1 Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel
2 Institut fur Festkorperphysik, TU Darmstadt, 64289 Darmstadt, Germany
The charging of a quantum box connected to a lead by a single-mode point contact is solved
for arbitrary temperatures, tunneling amplitudes, and gate voltages, using a variant of Wilson's
numerical renormalization group. The charge inside the box and the capacitance of the junction
are calculated on equal footing for all physical regimes, including weak tunneling, near perfect
transmission, and the crossover regime in between. At the charge plateaus, perturbation theory is
found to break down at fairly weak tunneling amplitudes. Near perfect transmission, we con rm
Matveev's scenario for the smearing of the Coulomb-blockade staircase. A surprising reentrance of
the Coulomb-blockade staircase is found for strong tunneling amplitudes. At the degeneracy points,
we obtain two-channel Kondo behavior directly from the Coulomb-blockade Hamiltonian, without
the restriction to two charge con gurations, or the introduction of an e ective cuto .
PACS numbers: 73.23.Hk, 72.15.Qm, 73.40.Gk
The Coulomb blockade [1, 2] is one of the fundamen-
tal phenomena in mesoscopic physics. When a quantum
box, either a small metallic grain or a large semiconduct-
ing quantum dot, is connected by weak tunneling to a
lead, its charging is governed by the nite energy barrier


Source: Anders, Frithjof - Institute for Theoretical Physics, Universitšt Bremen


Collections: Physics