Kavli Affiliate: Shenghan Jiang
| First 5 Authors: Yixin Ma, Shenghan Jiang, Chao Xu, ,
| Summary:
The quantum spin hall (QSH) phase, also known as the 2D topological
insulator, is characterized by protected helical edge modes arising from time
reversal symmetry. While initially proposed for band insulators, this phase can
also manifest in strongly-correlated systems where conventional band theory
fails. To overcome the challenge of simulating this phase in realistic
correlated models, we propose a novel framework utilizing fermionic tensor
network states. Our approach involves constructing a tensor representation of
the fixed-point wavefunction based on an exact solvable model, enabling us to
derive a set of tensor equations governing the transformation rules of local
tensors under symmetry operations. These tensor equations lead to the anomalous
edge theory, which provides a comprehensive description of the QSH phase. By
solving these tensor equations, we obtain variational ansatz for the QSH phase,
which we subsequently verify through numerical calculations. This method serves
as an initial step towards employing tensor algorithms to simulate the QSH
phase in strongly-correlated systems, opening new avenues for investigating and
understanding topological phenomena in complex materials.
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