Sample interview questions: Have you used any computational techniques to study topological phases of matter?
Sample answer:
In my research, I have employed various computational techniques to delve into the captivating realm of topological phases of matter. One of the key techniques has been real-space density matrix renormalization group (DMRG), particularly suitable for studying one- and two-dimensional lattice systems. DMRG enables me to obtain ground-state wavefunctions and calculate topological invariants to characterize topological phases.
Additionally, I have utilized quantum Monte Carlo (QMC) simulations to investigate topological phases in larger and more complex systems. QMC techniques, such as auxiliary field QMC or loop cluster QMC, allow me to sample the ground-state wavefunction and calculate observables of interest. This approach has been instrumental in studying topological phenomena in strongly correlated systems, where conventional mean-field theories may fail.
Furthermore, I have implemented ab initio density functional theory (DFT) calculations to explore topological properties of materials. DFT provides a framework to determine … Read full answer
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