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arXiv · 2309.00212

Pseudo-magnetic fields in square lattices

Junsong Sun·Xingchuan Zhu·Tianyu Liu·Shiping Feng·Huaiming Guo
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Abstract

We have investigated the effects of strain on two-dimensional square lattices and examined the methods for inducing pseudo-magnetic fields. In both the columnar and staggered $\pi$-flux square lattices, we have found that strain only modulates Fermi velocities rather than inducing pseudo-magnetic fields. However, spatially non-uniform on-site potentials (anisotropic hoppings) can create pseudo-magnetic fields in columnar (staggered) $\pi$-flux square lattices. On the other hand, we demonstrate that strain does induce pseudo-magnetic fields in staggered zero-flux square lattices. By breaking a quarter of the bonds, we clarify that a staggered zero-flux square lattice is topologically equivalent to a honeycomb lattice and displays pseudo-vector potentials and pseudo-Landau levels at the Dirac points.

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Junsong Sun, Xingchuan Zhu, Tianyu Liu, Shiping Feng, Huaiming Guo. 2023-09-01. Pseudo-magnetic fields in square lattices. https://doi.org/10.1103/physrevb.108.205149

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