The Mott-Anderson transition in the disordered one-dimensional Hubbard model
We use the density matrix renormalization group to study the quantum transitions that occur in the half-filled one-dimensional fermionic Hubbard model with onsite potential disorder. We find a transition from the gapped Mott phase with algebraic spin correlations to a gapless spin-disordered phase b...
| Main Authors: | , , |
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| Language: | English |
| Published: |
Technische Universität Chemnitz
1998
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| Subjects: | |
| Online Access: | http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801405 https://monarch.qucosa.de/id/qucosa%3A17517 https://monarch.qucosa.de/api/qucosa%3A17517/attachment/ATT-0/ https://monarch.qucosa.de/api/qucosa%3A17517/attachment/ATT-1/ https://monarch.qucosa.de/api/qucosa%3A17517/attachment/ATT-2/ |
| Summary: | We use the density matrix renormalization group to study the quantum
transitions that occur in the half-filled one-dimensional fermionic Hubbard
model with onsite potential disorder. We find a transition from the gapped
Mott phase with algebraic spin correlations to a gapless spin-disordered phase
beyond a critical strength of the disorder 1 c ss U= 2. Both the transitions in
the charge and spin sectors are shown to be coincident. We also establish the
finite-size corrections to the charge gap and the spin-spin correlation length
in the presence of disorder and using a finite-size-scaling analysis we obtain
the zero temperature phase diagram of the various quantum phase transitions
that occur in the disorder-interaction plane. |
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