Nonuniform strain applied to graphene's honeycomb lattice can induce pseudo-Landau levels in the single-particle spectrum. Various generalizations have been put forward, including a particular family of hopping models in d space dimensions. Here we show that the key ingredient for sharp pseudo-Landau levels in higher dimensions is dimensional reduction. We consider particles moving on a d-dimensional hyperdiamond lattice which displays a semimetallic band structure, with a (d−2)-dimensional nodal manifold. By applying a suitable strain pattern, the single-particle spectrum evolves into a sequence of relativistic Landau levels. We develop and solve the corresponding field theory: Each nodal point effectively generates a Landau-level problem which is strictly two dimensional to leading order in the applied strain. While the effective pseudovector potential varies across the nodal manifold, the Landau-level spacing does not. Our theory paves the way for strain engineering of single-particle states via dimensional reduction and beyond global minimal coupling.
%0 Journal Article
%1 PhysRevB.109.075123
%A Köhler, Fabian
%A Vojta, Matthias
%D 2024
%I American Physical Society
%J Phys. Rev. B
%K a
%N 7
%P 075123
%R 10.1103/PhysRevB.109.075123
%T Nodal semimetals in d$\ge$3 to sharp pseudo-Landau levels by dimensional reduction
%U https://link.aps.org/doi/10.1103/PhysRevB.109.075123
%V 109
%X Nonuniform strain applied to graphene's honeycomb lattice can induce pseudo-Landau levels in the single-particle spectrum. Various generalizations have been put forward, including a particular family of hopping models in d space dimensions. Here we show that the key ingredient for sharp pseudo-Landau levels in higher dimensions is dimensional reduction. We consider particles moving on a d-dimensional hyperdiamond lattice which displays a semimetallic band structure, with a (d−2)-dimensional nodal manifold. By applying a suitable strain pattern, the single-particle spectrum evolves into a sequence of relativistic Landau levels. We develop and solve the corresponding field theory: Each nodal point effectively generates a Landau-level problem which is strictly two dimensional to leading order in the applied strain. While the effective pseudovector potential varies across the nodal manifold, the Landau-level spacing does not. Our theory paves the way for strain engineering of single-particle states via dimensional reduction and beyond global minimal coupling.
@article{PhysRevB.109.075123,
abstract = {Nonuniform strain applied to graphene's honeycomb lattice can induce pseudo-Landau levels in the single-particle spectrum. Various generalizations have been put forward, including a particular family of hopping models in d space dimensions. Here we show that the key ingredient for sharp pseudo-Landau levels in higher dimensions is dimensional reduction. We consider particles moving on a d-dimensional hyperdiamond lattice which displays a semimetallic band structure, with a (d−2)-dimensional nodal manifold. By applying a suitable strain pattern, the single-particle spectrum evolves into a sequence of relativistic Landau levels. We develop and solve the corresponding field theory: Each nodal point effectively generates a Landau-level problem which is strictly two dimensional to leading order in the applied strain. While the effective pseudovector potential varies across the nodal manifold, the Landau-level spacing does not. Our theory paves the way for strain engineering of single-particle states via dimensional reduction and beyond global minimal coupling.},
added-at = {2024-02-27T20:50:41.000+0100},
author = {K\"ohler, Fabian and Vojta, Matthias},
biburl = {https://www.bibsonomy.org/bibtex/28169d58173b5f9e98770028d88388844/ctqmat},
day = 12,
doi = {10.1103/PhysRevB.109.075123},
interhash = {079b2507ddfd237d774f5628c7d67c65},
intrahash = {8169d58173b5f9e98770028d88388844},
journal = {Phys. Rev. B},
keywords = {a},
month = {02},
number = 7,
numpages = {6},
pages = 075123,
publisher = {American Physical Society},
timestamp = {2024-02-27T20:50:41.000+0100},
title = {Nodal semimetals in d$\ensuremath{\ge}$3 to sharp pseudo-Landau levels by dimensional reduction},
url = {https://link.aps.org/doi/10.1103/PhysRevB.109.075123},
volume = 109,
year = 2024
}