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Persistent current and Drude weight for the one-dimensional Hubbard model from current lattice density functional
1School of Physics and CRANN, Trinity College, Dublin 2, Ireland. akandea@tcd.ie
Summary
The Bethe ansatz local density approximation (LDA) to lattice density functional theory (LDFT) was extended to current-LDFT (CLDFT). This method accurately captures transport properties in one-dimensional Hubbard rings, showing promise for correlated electron systems.
Area of Science:
- Condensed Matter Physics
- Quantum Chemistry
- Materials Science
Background:
- Lattice density functional theory (LDFT) is a powerful tool for studying interacting electron systems.
- The Bethe ansatz local density approximation (LDA) has been successful for the Hubbard model.
- Extending LDFT to include transport properties is crucial for understanding electronic devices.
Purpose of the Study:
- To extend the Bethe ansatz LDA to current-LDFT (CLDFT).
- To investigate the transport properties of mesoscopic Hubbard rings.
- To evaluate the accuracy of CLDFT for correlated electron systems.
Main Methods:
- Extension of Bethe ansatz LDA to CLDFT.
- Systematic investigation of Hubbard rings under magnetic flux.
- Calculation of ground state energies, persistent currents, and Drude weights.
Main Results:
- CLDFT results for ground state energies agree well with accurate many-body techniques in the metallic phase.
- CLDFT accurately captures the dependence of persistent currents on interaction strength and ring size.
- The method shows good performance for both homogeneous and impurity-containing Hubbard models.
Conclusions:
- CLDFT is a valuable method for describing transport properties of 1D correlated electron systems.
- The method's modest computational cost makes it suitable for studying systems with disorder and interactions.
- CLDFT offers a promising computational tool for future research in condensed matter physics.
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