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Application of Advanced Techniques in Computational Materials Research and Education

Explore cutting-edge density matrix renormalization group (DMRG) and transport codes for large electron systems, uncovering quantum phase diagrams and topological orders in materials. Engage students in vital condensed matter theory research projects, preparing them for future PhD studies. Supported by NSF-PREM DMR 0611562.

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Application of Advanced Techniques in Computational Materials Research and Education

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  1. PREM Multidisciplinary Research and Education in Computational Materials Charge and Spin Transport and quantum Hall effect in 2D Systems Jize Zhao, Donna Sheng (CSUN), F. D. M. Haldane (PCCM) We have developed new state of the art density matrix renormalization group (DMRG) and transport codes, which can deal with large electron systems with interaction. Right two figures represent some results we obtained with our collaborators. On the right side, top panel shows our quantum phase diagram for Haldane honeycomb model with spin orbit interaction. It shows that using gate voltage V one can tune into quantum Hall effect (QAHE) by splitting quantum spin Hall effect (QSHE) for system without time reversal symmetry. Bottom panel shows the entanglement gap extrapolates to finite value at thermodynamic limit demonstrating topological order of the 5/2 system. A group of students have been studying condensed matter theory through research projects. Such activities are important in training students for their future PhD studies. The research is supported by NSF-PREM DMR 0611562

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