Nonequilibrium electron transport using the density matrix renormalization group method
By P. Schmitteckert. 2004
165 citations recorded by the source corpus.
We extended the Density Matrix Renormalization Group method to study the real time dynamics of interacting one dimensional spinless Fermi systems by applying the full time evolution operator to an initial state. As an example we describe the propagation of a density excitation in an interacting clean system and the transport through an interacting nano structure.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/b9aa90fecf2460cadddcf15f3afc282b269cc614
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In Atomic and Molecular Physics, and Optics
- Ulrich Schollwoeck
- Christine Tobler
- Andrew J. Daley
- E. Stoudenmire
- Daniel Kressner
- André Uschmajew
- Pasquale Calabrese
- Thomas Schulte-Herbrüggen
In Condensed Matter Physics
- Ulrich Schollwoeck
- Christine Tobler
- Andrew J. Daley
- E. Stoudenmire
- Daniel Kressner
- André Uschmajew
- Pasquale Calabrese
- Thomas K. Huckle
Citations in the corpus
- Time-evolution methods for matrix-product states (2019, unknown): “The local Krylov approach[21, 23–27] (Sec.”
- The density-matrix renormalization group (2004, background): “4). Instead of considering time evolution as a differential equation, one may also consider the time-evolution operator exp(−iHtˆ ), which avoids the numerical delicacies of the Schr¨odinger equation. Schmitteckert (2004) computes the transport through a small interacting nanostructure using this app”