Nonlinear Coherent States for Anisotropic 2D Dirac Materials
325
Fig. 4 (a, b) Probability density ρ α (x) in Eq. (19b) for |α| = 6 and different values of the
parameter ζ . For ϕ = (2m + 1)π/2, m = 0, 1, . . . , ρ α (x) is placed in the position x 0 (horizontal
red lines). (σ ξ ) α (σ p ) α as function of α. As ϕ changes, the HUR shows variations. In all these cases,
we set B 0 = 1/2, k = ω B = 1 and δ = 0
extended to the symmetric gauge for the background field [21], in order to describe
the bidimensional effects of the anisotropy on these materials. This formalism can
also be extended to the situation where the velocities v ij can depend on the spatial
coordinates [22].
Acknowledgments YCS acknowledges support from CIC-UMSNH under grant 3820801. AR
acknowledges support from Consejo Nacional de Ciencia y Tecnología (México) under grant
256494. EDB acknowledges support from UPIIH of the National Polytechnic Institute (IPN,
México) under grant 20201196.
References
1. K.S. Novoselov, et al., Nat. Phys. 2, 177 (2006). https://doi.org/10.1038/nphys245
2. K.S. Novoselov, et al., Science 315, 1379 (2007). https://doi.org/10.1126/science.1137201
3. A.K. Geim, K.S. Novoselov, Nat. Mater. 6, 183 (2007). https://doi.org/10.1038/nmat1849
325
Fig. 4 (a, b) Probability density ρ α (x) in Eq. (19b) for |α| = 6 and different values of the
parameter ζ . For ϕ = (2m + 1)π/2, m = 0, 1, . . . , ρ α (x) is placed in the position x 0 (horizontal
red lines). (σ ξ ) α (σ p ) α as function of α. As ϕ changes, the HUR shows variations. In all these cases,
we set B 0 = 1/2, k = ω B = 1 and δ = 0
extended to the symmetric gauge for the background field [21], in order to describe
the bidimensional effects of the anisotropy on these materials. This formalism can
also be extended to the situation where the velocities v ij can depend on the spatial
coordinates [22].
Acknowledgments YCS acknowledges support from CIC-UMSNH under grant 3820801. AR
acknowledges support from Consejo Nacional de Ciencia y Tecnología (México) under grant
256494. EDB acknowledges support from UPIIH of the National Polytechnic Institute (IPN,
México) under grant 20201196.
References
1. K.S. Novoselov, et al., Nat. Phys. 2, 177 (2006). https://doi.org/10.1038/nphys245
2. K.S. Novoselov, et al., Science 315, 1379 (2007). https://doi.org/10.1126/science.1137201
3. A.K. Geim, K.S. Novoselov, Nat. Mater. 6, 183 (2007). https://doi.org/10.1038/nmat1849