Dhar, Abhishek and Sen, Diptiman (2006) Nonequilibrium Greens function formalism and the problem of bound states. In: Physical Review B, 73 (8). 085119-1-085119-14.
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The nonequilibrium 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 nonequilibrium case.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to American Physical Society.|
|Keywords:||mesoscopic systems;Green's function methods;bound states;tight-binding calculations.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Centre for High Energy Physics|
|Date Deposited:||02 Apr 2009 05:58|
|Last Modified:||19 Sep 2010 04:59|
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