Research paperTheoreticalSolvable Two-dimensional Dirac Equation with Matrix Potential: Graphene in External Electromagnetic Field.M. V. Ioffe, D. N. NishnianidzearXiv·2024·10.3390/sym16010126·arXiv:2401.11526AbstractIt is known that the excitations in graphene-like materials in external electromagnetic field are described by solutions of massless two-dimensional Dirac equation which includes both Hermitian off-diagonal matrix and scalar potentials. Up to now, such two-component wave functions were calculated for different forms of external potentials but, as a rule, depending on one spatial variable only. Here, the authors find analytically the solutions for a wide class of combinations of matrix and scalar external potentials corresponding to mutually orthogonal magnetic and longitudinal electrostatic fields depending on two spatial variables, using asymmetric supersymmetric intertwining relations in two steps.Read more
Research paperTheoreticalSolvable Two-dimensional Dirac Equation with Matrix Potential: Graphene in External Electromagnetic Field.M. V. Ioffe, D. N. NishnianidzearXiv·2024·10.3390/sym16010126·arXiv:2401.11526AbstractIt is known that the excitations in graphene-like materials in external electromagnetic field are described by solutions of massless two-dimensional Dirac equation which includes both Hermitian off-diagonal matrix and scalar potentials. Up to now, such two-component wave functions were calculated for different forms of external potentials but, as a rule, depending on one spatial variable only. Here, the authors find analytically the solutions for a wide class of combinations of matrix and scalar external potentials corresponding to mutually orthogonal magnetic and longitudinal electrostatic fields depending on two spatial variables, using asymmetric supersymmetric intertwining relations in two steps.Read more
Research paperTheoreticalSolvable Two-dimensional Dirac Equation with Matrix Potential: Graphene in External Electromagnetic Field.M. V. Ioffe, D. N. NishnianidzearXiv·2024·10.3390/sym16010126·arXiv:2401.11526AbstractIt is known that the excitations in graphene-like materials in external electromagnetic field are described by solutions of massless two-dimensional Dirac equation which includes both Hermitian off-diagonal matrix and scalar potentials. Up to now, such two-component wave functions were calculated for different forms of external potentials but, as a rule, depending on one spatial variable only. Here, the authors find analytically the solutions for a wide class of combinations of matrix and scalar external potentials corresponding to mutually orthogonal magnetic and longitudinal electrostatic fields depending on two spatial variables, using asymmetric supersymmetric intertwining relations in two steps.Read more
Research paperTheoreticalSolvable Two-dimensional Dirac Equation with Matrix Potential: Graphene in External Electromagnetic Field.M. V. Ioffe, D. N. NishnianidzearXiv·2024·10.3390/sym16010126·arXiv:2401.11526AbstractIt is known that the excitations in graphene-like materials in external electromagnetic field are described by solutions of massless two-dimensional Dirac equation which includes both Hermitian off-diagonal matrix and scalar potentials. Up to now, such two-component wave functions were calculated for different forms of external potentials but, as a rule, depending on one spatial variable only. Here, the authors find analytically the solutions for a wide class of combinations of matrix and scalar external potentials corresponding to mutually orthogonal magnetic and longitudinal electrostatic fields depending on two spatial variables, using asymmetric supersymmetric intertwining relations in two steps.Read more
