Voids in the Hall Effect; Excitons in HiT<sub>c</sub>
- 1 UHRL, San Jose, CA, USA
Abstract
The outstanding difference between high temperature superconductors and low temperature superconductors is the sign of the Hall coefficient, properly understood. Since the Lorentz force acts on particles, not voids nor immobile ions, we propose that the experimental positive coefficient is due to dispersion dynamics in valence bands, i.e. on electrons with positive charge/mass ratio, but with negative charge and negative effective mass. In Hi T c compounds, anionic and cationic doping creates holes that substitute for the lattice distortions that bind Cooper pairs in metallic superconductors such as Nb . In both types of superconductor, the conventional notion of antiparallel spins S = 0, with paired wave vectors k and -k , is maintained; but in the ceramics “holes” h , produced by chemical doping and measured in the normal state, are available to bond super-conducting Boson pairs via h − or h<sup>0</sup><sub style="margin-left:-6px;">2</sub> excitons.
- Bourdillon, A. and Tan Bourdillon, N.X. (1994) High Temperature Superconductors, Processing and Science. Academic Press, Cambridge.
- LeBoeuf, D., Doiron-Leyraud, N., Levallois, J., Daou, R., Bonnemaison, J.B., Hussey, N.E., Balicas, L., Ramshaw, B.J., Liang, R., Bonn, D.A., Hardy, W.N., Adachi, S., Proust, C. and Taillefer, L. (2007) Nature, 450, 533-536. https://doi.org/10.1038/nature06332
- Bourdillon, A.J. (2015) Journal of Modern Physics, 6, 2011-2020. https://doi.org/10.4236/jmp.2015.614407
- Bourdillon, A.J. (2015) Journal of Modern Physics, 6, 463-471. https://doi.org/10.4236/jmp.2015.64050
- Maple, M.B. (1998) High Temperature Superconductivity. https://arxiv.org/pdf/cond-mat/9802202
- Bardeen, J., Cooper, L.N. and Schrieffer, J.R. (1957) Physical Review, 108, 1175. https://doi.org/10.1103/PhysRev.108.1175
- Batlogg, B., Cava, R.J., Jayaraman, A., van Dover, R.B., Kourouklis, G.A., Sunshine, S., Murphy, D.W., Rupp, L.W., Chen, H.S., White, A., Short, K.T., Mujsce, A.M. and Rietman, E.A. (1987) Physical Review Letters, 58, 2333. https://doi.org/10.1103/PhysRevLett.58.2333
- Anderson, P.W. (1987) Science, 235, 1196-1198.
- Lee, P.A., Nagaosa, N. and Wen, X.-G. (2006) Reviews of Modern Physics, 78, 17-86. https://doi.org/10.1103/RevModPhys.78.17
- Dagotto, E. (1994) Reviews of Modern Physics, 66, 763-840. https://doi.org/10.1103/RevModPhys.66.763
- Hoffman, J.E. (2003) A Search for Alternative Electronic Order in the High Temperature Superconductor Bi2Sr2Ca2Cu2O8+d by Scanning Tunneling Microscopy. PhD Thesis, University of California, Berkeley.
- Tan, N.X. and Bourdillon, A.J. (1990) International Journal of Modern Physics B, 4, 517-524. https://doi.org/10.1142/S0217979290000255
- Bourdillon, A.J., Beaumont, J.H. and Bordas, J. (1977) Journal of Physics C, 10, 333-341.
- Acrivos, J.V., Chen, L., Burch, C.M., Metcalf, P., Honig, J.M., Liu, R.S. and Singh, K.K. (1994) Physical Review B, 50, 13710-13723. https://doi.org/10.1103/PhysRevB.50.13710
- Bourdillon, A.J. (1976) Spectroscopy of Ionic Materials Using Synchrotron Radiation. PHD Thesis, Oxford University, Oxford.
- Kondo, T., Khasanov, R., Karpinski, S., Zhigadlo, N.D., Ohta, H., Fretwell, A.D., Palczewski, A.D., Koll, J.D., Mesot, J., Rotenberg, E., Keller, H. and Kaminski, A. (2006) Physical Review Letters, 98, Article ID: 157002.