Time-Dependent Real-Space Renormalization Group Method
In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is th...
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| Format: | Article |
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| Language: | English |
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University of Tehran
2005-09-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31659_111da569f7d511b2470b9eb381ddf265.pdf |
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| collection | DOAJ |
| description | In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quantum wire with time-dependent random potential. Specifically, we study the electronic densities of states of a single and chains of quantum dots connected to two noisy leads. |
| format | Article |
| id | doaj-art-8deb1269d54c4ab28e0e80c7e591d13a |
| institution | Kabale University |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2005-09-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-8deb1269d54c4ab28e0e80c7e591d13a2025-08-20T03:54:07ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142005-09-0116331659Time-Dependent Real-Space Renormalization Group MethodIn this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quantum wire with time-dependent random potential. Specifically, we study the electronic densities of states of a single and chains of quantum dots connected to two noisy leads.https://jsciences.ut.ac.ir/article_31659_111da569f7d511b2470b9eb381ddf265.pdf |
| spellingShingle | Time-Dependent Real-Space Renormalization Group Method Journal of Sciences, Islamic Republic of Iran |
| title | Time-Dependent Real-Space Renormalization Group Method |
| title_full | Time-Dependent Real-Space Renormalization Group Method |
| title_fullStr | Time-Dependent Real-Space Renormalization Group Method |
| title_full_unstemmed | Time-Dependent Real-Space Renormalization Group Method |
| title_short | Time-Dependent Real-Space Renormalization Group Method |
| title_sort | time dependent real space renormalization group method |
| url | https://jsciences.ut.ac.ir/article_31659_111da569f7d511b2470b9eb381ddf265.pdf |