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A new class of solvable two-dimensional scalar potentials for graphene. / Ioffe, Mikhail; Nishnianidze, David.

In: European Physical Journal Plus, Vol. 137, No. 10, 1195, 29.10.2022.

Research output: Contribution to journal › Article › peer-review

Harvard

Ioffe, M & Nishnianidze, D 2022, 'A new class of solvable two-dimensional scalar potentials for graphene', European Physical Journal Plus, vol. 137, no. 10, 1195. https://doi.org/10.1140/epjp/s13360-022-03326-x

APA

Ioffe, M., & Nishnianidze, D. (2022). A new class of solvable two-dimensional scalar potentials for graphene. European Physical Journal Plus, 137(10), [1195]. https://doi.org/10.1140/epjp/s13360-022-03326-x

Vancouver

Ioffe M, Nishnianidze D. A new class of solvable two-dimensional scalar potentials for graphene. European Physical Journal Plus. 2022 Oct 29;137(10). 1195. https://doi.org/10.1140/epjp/s13360-022-03326-x

Author

Ioffe, Mikhail ; Nishnianidze, David. / A new class of solvable two-dimensional scalar potentials for graphene. In: European Physical Journal Plus. 2022 ; Vol. 137, No. 10.

BibTeX

@article{4a501a431770478ab5099c471884dc43,
title = "A new class of solvable two-dimensional scalar potentials for graphene",
abstract = "In the present paper, a systematic approach is presented for solution of two-dimensional massless Dirac equation with external electrostatic potential applied. This approach is based on the new—asymmetric—form of SUSY-like intertwining relations. It allows to build a wide variety of pairs of SUSY-partner external scalar potentials. If one of them is simple enough to be solvable, its partner is also solvable although it may have a non-trivial dependency on both coordinates. Physically, this kind of problems is related to the description of graphene and some other materials with external potential. Solvability obtained by means of asymmetric form of SUSY intertwining relations allows to extend the class of analytically solvable two-dimensional models.",
author = "Mikhail Ioffe and David Nishnianidze",
note = "Ioffe, M.V., Nishnianidze, D.N. A new class of solvable two-dimensional scalar potentials for graphene. Eur. Phys. J. Plus 137, 1195 (2022). https://doi.org/10.1140/epjp/s13360-022-03326-x",
year = "2022",
month = oct,
day = "29",
doi = "10.1140/epjp/s13360-022-03326-x",
language = "English",
volume = "137",
journal = "European Physical Journal Plus",
issn = "2190-5444",
publisher = "Springer Nature",
number = "10",

}

RIS

TY - JOUR

T1 - A new class of solvable two-dimensional scalar potentials for graphene

AU - Ioffe, Mikhail

AU - Nishnianidze, David

N1 - Ioffe, M.V., Nishnianidze, D.N. A new class of solvable two-dimensional scalar potentials for graphene. Eur. Phys. J. Plus 137, 1195 (2022). https://doi.org/10.1140/epjp/s13360-022-03326-x

PY - 2022/10/29

Y1 - 2022/10/29

N2 - In the present paper, a systematic approach is presented for solution of two-dimensional massless Dirac equation with external electrostatic potential applied. This approach is based on the new—asymmetric—form of SUSY-like intertwining relations. It allows to build a wide variety of pairs of SUSY-partner external scalar potentials. If one of them is simple enough to be solvable, its partner is also solvable although it may have a non-trivial dependency on both coordinates. Physically, this kind of problems is related to the description of graphene and some other materials with external potential. Solvability obtained by means of asymmetric form of SUSY intertwining relations allows to extend the class of analytically solvable two-dimensional models.

AB - In the present paper, a systematic approach is presented for solution of two-dimensional massless Dirac equation with external electrostatic potential applied. This approach is based on the new—asymmetric—form of SUSY-like intertwining relations. It allows to build a wide variety of pairs of SUSY-partner external scalar potentials. If one of them is simple enough to be solvable, its partner is also solvable although it may have a non-trivial dependency on both coordinates. Physically, this kind of problems is related to the description of graphene and some other materials with external potential. Solvability obtained by means of asymmetric form of SUSY intertwining relations allows to extend the class of analytically solvable two-dimensional models.

UR - https://link.springer.com/article/10.1140/epjp/s13360-022-03326-x

UR - http://www.scopus.com/inward/record.url?scp=85140895931&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/65604713-c673-3349-b48b-a8eca49e578d/

U2 - 10.1140/epjp/s13360-022-03326-x

DO - 10.1140/epjp/s13360-022-03326-x

M3 - Article

VL - 137

JO - European Physical Journal Plus

JF - European Physical Journal Plus

SN - 2190-5444

IS - 10

M1 - 1195

ER -

ID: 100305882