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removed the term "Open boundary conditions" since there was disagreement about what it means in this context.
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taciteloquence
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Here's another approach for strongly correlated systems: Al-Hassanieh et al. Phys. Rev. B 73 195304 2006.

In this case, they use time-dependent DMRG. They treat the wire as a chain of sites occupied by spinless Fermions and the junction as an impurity in the wire. It has OBC, so theyThey can't observe a steady state current, but they can observe the because their system has hard boundaries (the wires just end). The current sloshingtherefore 'bounces off' the boundary and goes back the other way and forththen sloshes back and inforth. With long enough leads, the middle of a slosh, it looks like the steady state result.

Here's another approach for strongly correlated systems: Al-Hassanieh et al. Phys. Rev. B 73 195304 2006.

In this case, they use time-dependent DMRG. They treat the wire as a chain of sites occupied by spinless Fermions and the junction as an impurity in the wire. It has OBC, so they can't observe a steady state current, but they can observe the current sloshing back and forth and in the middle of a slosh, it looks like the steady state result.

Here's another approach for strongly correlated systems: Al-Hassanieh et al. Phys. Rev. B 73 195304 2006.

In this case, they use time-dependent DMRG. They treat the wire as a chain of sites occupied by spinless Fermions and the junction as an impurity in the wire. They can't observe a steady state current because their system has hard boundaries (the wires just end). The current therefore 'bounces off' the boundary and goes back the other way and then sloshes back and forth. With long enough leads, the middle of a slosh looks like the steady state result.

Source Link
taciteloquence
taciteloquence
  • 6.8k
  • 1
  • 15
  • 50

Here's another approach for strongly correlated systems: Al-Hassanieh et al. Phys. Rev. B 73 195304 2006.

In this case, they use time-dependent DMRG. They treat the wire as a chain of sites occupied by spinless Fermions and the junction as an impurity in the wire. It has OBC, so they can't observe a steady state current, but they can observe the current sloshing back and forth and in the middle of a slosh, it looks like the steady state result.