Non-equilibrium Green's function formalism and the problem of bound states

Details Non-equilibrium Green's function formalism and the problem of bound states Non-equilibrium Green's function formalism and the problem of bound states

2005-10-12

arxiv.org/abs/cond-mat/0510303v2

Phys. Rev. B 73 (2006) 085119

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revtex4, 32 pages including 5 figures; some corrections made, this is the version published in Phys Rev B

Scientific paper

10.1103/PhysRevB.73.085119

The non-equilibrium Green's function formalism for infinitely extended reservoirs coupled to a finite system can be derived by solving the equations of motion for a tight-binding Hamiltonian. While this approach gives the correct density for the continuum states, we find that it does not lead, in the absence of any additional mechanisms for equilibration, to a unique expression for the density matrix of any bound states which may be present. Introducing some auxiliary reservoirs which are very weakly coupled to the system leads to a density matrix which is unique in the equilibrium situation, but which depends on the details of the auxiliary reservoirs in the non-equilibrium case.

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