Residual conductance of correlated one-dimensional nanosystems: A numerical approach
arXiv:cond-mat/0402250 · doi:10.1140/epjb/e2004-00176-y
Abstract
We study a method to determine the residual conductance of a correlated system by means of the ground-state properties of a large ring composed of the system itself and a long non-interacting lead. The transmission probability through the interacting region and thus its residual conductance is deduced from the persistent current induced by a flux threading the ring. Density Matrix Renormalization Group techniques are employed to obtain numerical results for one-dimensional systems of interacting spinless fermions. As the flux dependence of the persistent current for such a system demonstrates, the interacting system coupled to an infinite non-interacting lead behaves as a non-interacting scatterer, but with an interaction dependent elastic transmission coefficient. The scaling to large lead sizes is discussed in detail as it constitutes a crucial step in determining the conductance. Furthermore, the method, which so far had been used at half filling, is extended to arbitrary filling and also applied to disordered interacting systems, where it is found that repulsive interaction can favor transport.
arXiv comment14 pages, 10 EPS figures
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- Applying Adaptive Time-Dependent DMRG to Calculate the Conductance of Strongly Correlated Nanostructures
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- Strong enhancement of transport by interaction on contact links
- Interacting electron systems between Fermi leads: effective one-body transmissions and correlation clouds
- Mesoscopic behavior of the transmission phase through confined correlated electronic systems
- Coulomb blockade without potential barriers
- Detection of interaction-induced nonlocal effects using perfectly transmitting nanostructures
- Reducing entanglement with symmetries: application to persistent currents in impurity problems
- Conductance of nano-systems with interactions coupled via conduction electrons: Effect of indirect exchange interactions
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- The embedding method beyond the single-channel case: Two-mode and Hubbard chains
- Inverse Mean Field Theory
- Universal Scaling of the Quantum Conductance of an Inversion-Symmetric Interacting Model
- Embedding method for the scattering phase in strongly correlated quantum dots