The Experts below are selected from a list of 9 Experts worldwide ranked by ideXlab platform

Johnson, Steven G. - One of the best experts on this subject based on the ideXlab platform.

  • Computation and visualization of photonic quasicrystal spectra via Blochs Theorem
    'American Physical Society (APS)', 2008
    Co-Authors: Rodriguez, Alejandro W., Mccauley, Alexander P., Avniel Yehuda, Johnson, Steven G.
    Abstract:

    Previous methods for determining photonic quasicrystal (PQC) spectra have relied on the use of large supercells to compute the eigenfrequencies and/or local density of states (LDOS). In this manuscript, we present a method by which the energy spectrum and the eigenstates of a PQC can be obtained by solving Maxwells equations in higher dimensions for any PQC defined by the standard cut-and-project construction, to which a generalization of Blochs Theorem applies. In addition, we demonstrate how one can compute band structures with defect states in the higher-dimensional superspace with no additional computational cost. As a proof of concept, these general ideas are demonstrated for the simple case of one-dimensional quasicrystals, which can also be solved by simple transfer-matrix techniques.Comment: Published in Physical Review B, 77 104201, 200

Rodriguez, Alejandro W. - One of the best experts on this subject based on the ideXlab platform.

  • Computation and visualization of photonic quasicrystal spectra via Blochs Theorem
    'American Physical Society (APS)', 2008
    Co-Authors: Rodriguez, Alejandro W., Mccauley, Alexander P., Avniel Yehuda, Johnson, Steven G.
    Abstract:

    Previous methods for determining photonic quasicrystal (PQC) spectra have relied on the use of large supercells to compute the eigenfrequencies and/or local density of states (LDOS). In this manuscript, we present a method by which the energy spectrum and the eigenstates of a PQC can be obtained by solving Maxwells equations in higher dimensions for any PQC defined by the standard cut-and-project construction, to which a generalization of Blochs Theorem applies. In addition, we demonstrate how one can compute band structures with defect states in the higher-dimensional superspace with no additional computational cost. As a proof of concept, these general ideas are demonstrated for the simple case of one-dimensional quasicrystals, which can also be solved by simple transfer-matrix techniques.Comment: Published in Physical Review B, 77 104201, 200

Mccauley, Alexander P. - One of the best experts on this subject based on the ideXlab platform.

  • Computation and visualization of photonic quasicrystal spectra via Blochs Theorem
    'American Physical Society (APS)', 2008
    Co-Authors: Rodriguez, Alejandro W., Mccauley, Alexander P., Avniel Yehuda, Johnson, Steven G.
    Abstract:

    Previous methods for determining photonic quasicrystal (PQC) spectra have relied on the use of large supercells to compute the eigenfrequencies and/or local density of states (LDOS). In this manuscript, we present a method by which the energy spectrum and the eigenstates of a PQC can be obtained by solving Maxwells equations in higher dimensions for any PQC defined by the standard cut-and-project construction, to which a generalization of Blochs Theorem applies. In addition, we demonstrate how one can compute band structures with defect states in the higher-dimensional superspace with no additional computational cost. As a proof of concept, these general ideas are demonstrated for the simple case of one-dimensional quasicrystals, which can also be solved by simple transfer-matrix techniques.Comment: Published in Physical Review B, 77 104201, 200

Avniel Yehuda - One of the best experts on this subject based on the ideXlab platform.

  • Computation and visualization of photonic quasicrystal spectra via Blochs Theorem
    'American Physical Society (APS)', 2008
    Co-Authors: Rodriguez, Alejandro W., Mccauley, Alexander P., Avniel Yehuda, Johnson, Steven G.
    Abstract:

    Previous methods for determining photonic quasicrystal (PQC) spectra have relied on the use of large supercells to compute the eigenfrequencies and/or local density of states (LDOS). In this manuscript, we present a method by which the energy spectrum and the eigenstates of a PQC can be obtained by solving Maxwells equations in higher dimensions for any PQC defined by the standard cut-and-project construction, to which a generalization of Blochs Theorem applies. In addition, we demonstrate how one can compute band structures with defect states in the higher-dimensional superspace with no additional computational cost. As a proof of concept, these general ideas are demonstrated for the simple case of one-dimensional quasicrystals, which can also be solved by simple transfer-matrix techniques.Comment: Published in Physical Review B, 77 104201, 200

Ferrer J. - One of the best experts on this subject based on the ideXlab platform.

  • First principles simulation of the magnetic and structural properties of iron.
    'Springer Science and Business Media LLC', 2004
    Co-Authors: Garcia-suarez Victor, Newman C. M., Lambert, Colin J., Pruneda J. M., Ferrer J.
    Abstract:

    We have implemented non-collinear GGA and a generalized Blochs Theorem to simulate unconmensurate spiral arrangements of spins in a Density Functional Theory code based on localized wave functions. We have subsequently performed a thorough study of the different states of bulk Iron. We determine the minimal basis set required to obtain reliable orderings of ground and excited states. We find that the most stable fcc phase is a spiral with an equilibrium lattice constant 3.56 Å