Fillman, Jake; Liu, Wencai; Matos, Rodrigo Algebraic properties of the Fermi variety for periodic graph operators. (English) Zbl 07796923 J. Funct. Anal. 286, No. 4, Article ID 110286, 24 p. (2024). MSC: 81Qxx 47Bxx 39Axx PDFBibTeX XMLCite \textit{J. Fillman} et al., J. Funct. Anal. 286, No. 4, Article ID 110286, 24 p. (2024; Zbl 07796923) Full Text: DOI arXiv
Liu, Wencai Fermi isospectrality for discrete periodic Schrödinger operators. (English) Zbl 07793222 Commun. Pure Appl. Math. 77, No. 2, 1126-1146 (2024). MSC: 81-XX 35-XX PDFBibTeX XMLCite \textit{W. Liu}, Commun. Pure Appl. Math. 77, No. 2, 1126--1146 (2024; Zbl 07793222) Full Text: DOI arXiv
Shipman, Stephen P.; Villalobos, Jorge Stable defect states in the continuous spectrum of bilayer graphene with magnetic field. (English) Zbl 07767782 Physica D 455, Article ID 133891, 7 p. (2023). MSC: 82-XX 81-XX PDFBibTeX XMLCite \textit{S. P. Shipman} and \textit{J. Villalobos}, Physica D 455, Article ID 133891, 7 p. (2023; Zbl 07767782) Full Text: DOI arXiv
Sabri, Mostafa; Youssef, Pierre Flat bands of periodic graphs. (English) Zbl 1521.05107 J. Math. Phys. 64, No. 9, Article ID 092101, 23 p. (2023). MSC: 05C50 81Q10 35J10 47A10 47B37 PDFBibTeX XMLCite \textit{M. Sabri} and \textit{P. Youssef}, J. Math. Phys. 64, No. 9, Article ID 092101, 23 p. (2023; Zbl 1521.05107) Full Text: DOI arXiv
Liu, Wencai Fermi isospectrality of discrete periodic Schrödinger operators with separable potentials on \(\mathbb{Z}^2\). (English) Zbl 07678866 Commun. Math. Phys. 399, No. 2, 1139-1149 (2023). MSC: 81Q10 35P15 39A12 35J91 58J53 PDFBibTeX XMLCite \textit{W. Liu}, Commun. Math. Phys. 399, No. 2, 1139--1149 (2023; Zbl 07678866) Full Text: DOI arXiv
Liu, Wencai Topics on Fermi varieties of discrete periodic Schrödinger operators. (English) Zbl 1507.35003 J. Math. Phys. 63, No. 2, Article ID 023503, 13 p. (2022). MSC: 35-02 35P05 34L40 81Q10 39A70 PDFBibTeX XMLCite \textit{W. Liu}, J. Math. Phys. 63, No. 2, Article ID 023503, 13 p. (2022; Zbl 1507.35003) Full Text: DOI arXiv
Fillman, Jake; Liu, Wencai; Matos, Rodrigo Irreducibility of the Bloch variety for finite-range Schrödinger operators. (English) Zbl 1507.81093 J. Funct. Anal. 283, No. 10, Article ID 109670, 22 p. (2022). MSC: 81Q10 35J10 30H30 33E15 39A23 52B20 PDFBibTeX XMLCite \textit{J. Fillman} et al., J. Funct. Anal. 283, No. 10, Article ID 109670, 22 p. (2022; Zbl 1507.81093) Full Text: DOI arXiv
Liu, Wencai Irreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvalues. (English) Zbl 1484.35169 Geom. Funct. Anal. 32, No. 1, 1-30 (2022). MSC: 35J10 14N05 32B15 47A75 14H10 PDFBibTeX XMLCite \textit{W. Liu}, Geom. Funct. Anal. 32, No. 1, 1--30 (2022; Zbl 1484.35169) Full Text: DOI arXiv
Fisher, Lee; Li, Wei; Shipman, Stephen P. Reducible Fermi surface for multi-layer quantum graphs including stacked graphene. (English) Zbl 1468.81052 Commun. Math. Phys. 385, No. 3, 1499-1534 (2021). MSC: 81Q35 81Q10 05C12 81U30 81V74 82D80 35P05 80A21 PDFBibTeX XMLCite \textit{L. Fisher} et al., Commun. Math. Phys. 385, No. 3, 1499--1534 (2021; Zbl 1468.81052) Full Text: DOI arXiv