Scalable tight-binding model for strained graphene
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arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911722355294208 |
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| author | Liu, Ming-Hao De Beule, Christophe Mreńca-Kolasińska, Alina Wu, Hsin-You Garcia-Ruiz, Aitor Kochan, Denis Richter, Klaus |
| author_facet | Liu, Ming-Hao De Beule, Christophe Mreńca-Kolasińska, Alina Wu, Hsin-You Garcia-Ruiz, Aitor Kochan, Denis Richter, Klaus |
| contents | We generalize the scalable tight-binding model for graphene, which allows for efficient quantum transport simulations in the Dirac regime, to account for elastic strain. We show that the original scalable model with scaling factor $s$ is readily applicable to strained graphene, provided that the displacement fields corresponding to the deformed graphene lattice are properly scaled. In particular, we show that the long-wavelength theory remains invariant when the strain tensor is scaled by $s$. This is achieved in practice by scaling the in-plane displacement fields by $s$ while the out-of-plane displacements have to be scaled by $\sqrt{s}$. We confirm these scaling laws by extensive numerical simulations, starting with the pseudomagnetic field and the local density of states for different scaled lattices. The latter allows us to study pseudo-Landau levels as well as hybrid Landau levels in the presence of an external magnetic field. Finally, we consider quantum transport simulations motivated by a recent experiment, where a uniaxial strain barrier is engineered in monolayer graphene by vertically misaligned gates. Our work generalizes the scalable tight-binding model to allow for efficient modeling of quantum transport in large-scale strained graphene devices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_02077 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Scalable tight-binding model for strained graphene Liu, Ming-Hao De Beule, Christophe Mreńca-Kolasińska, Alina Wu, Hsin-You Garcia-Ruiz, Aitor Kochan, Denis Richter, Klaus Mesoscale and Nanoscale Physics We generalize the scalable tight-binding model for graphene, which allows for efficient quantum transport simulations in the Dirac regime, to account for elastic strain. We show that the original scalable model with scaling factor $s$ is readily applicable to strained graphene, provided that the displacement fields corresponding to the deformed graphene lattice are properly scaled. In particular, we show that the long-wavelength theory remains invariant when the strain tensor is scaled by $s$. This is achieved in practice by scaling the in-plane displacement fields by $s$ while the out-of-plane displacements have to be scaled by $\sqrt{s}$. We confirm these scaling laws by extensive numerical simulations, starting with the pseudomagnetic field and the local density of states for different scaled lattices. The latter allows us to study pseudo-Landau levels as well as hybrid Landau levels in the presence of an external magnetic field. Finally, we consider quantum transport simulations motivated by a recent experiment, where a uniaxial strain barrier is engineered in monolayer graphene by vertically misaligned gates. Our work generalizes the scalable tight-binding model to allow for efficient modeling of quantum transport in large-scale strained graphene devices. |
| title | Scalable tight-binding model for strained graphene |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2603.02077 |