Tunneling transport and spectroscopy in carbon nanotube quantum dots
J. Chem. Phys. 130, 224503 (2009); doi:10.1063/1.3148035
Published 11 June 2009
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This paper provides a theoretical description of sequential tunneling transport and spectroscopy, in carbon nanotube quantum dots weakly tunnel coupled to metallic leads under a voltage bias. The effects of Coulomb blockade charging, spin-orbit fine structure, and orbital- and spin-Zeeman effects arising from coupling to applied magnetic fields are considered; and the dependence of the conductance upon applied gate voltage, bias voltage, and magnetic fields is determined. The work is motivated by recent experiments on ultraclean carbon nanotube dots [Kuemmeth et al., Nature (London) 452, 448 (2008)], to which comparison is made.
©2009 American Institute of Physics
| History: | Received 28 February 2009; accepted 11 May 2009; published 11 June 2009 |
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http://link.aip.org/link/?JCPSA6/130/224503/1 |
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0021-9606 (print)
1089-7690 (online)
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Formally, this reflects the invariance of
so+
B
, under the following canonical transformation: d
d2
(with
=±, for
/
, spins). By contrast,
so+
B is not invariant. -
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Additional many-body spectral broadening can, in fact, be captured approximately on replacing
>, in Eq. (34) by an effective N-dependent
eff which mimics the so-called blocking effects. This would, however, be overelaboration in the context of the present work, since the resulant
eff's remain small compared to the typical spacing between the states of the isolated dot. -
Although readily included, addition excitations to the Ng=N+1 ground state are of order Ec=U above this ground state and, in consequence, lie well in excess of the eVsd “window” considered in the vicinity of the Ng=N
N+1 border. Directly analogous comments naturally apply to removal excitations from the Ng=N ground state.







