The noncommutative geometry of wire networks from triply periodic sufaces

Journal of Physics: Conference Series

Volumn 343, Issue , 2012, Pages

  Kaufmann, Ralph M ^a   Khlebnikov, Sergei ^b   Wehefritz Kaufmann, Birgit ^a  

^a PURDUE UNIVERSITY   (United States)

^b PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HAMILTONIANS; QUANTUM THEORY;

CONSTANT MAGNETIC FIELDS; NON-COMMUTATIVE GEOMETRY; SELF-DUAL; TRIPLY PERIODIC MINIMAL SURFACES;

GEOMETRY;

EID: 84858194933     PISSN: 17426588     EISSN: 17426596     Source Type: Conference Proceeding    
DOI: 10.1088/1742-6596/343/1/012054     Document Type: Conference Paper

References (15)

1. J. Bellissard, Gap labelling theorems for Schrödinger operators, in: From number theory to physics (1992) 538-630
2. J. Bellissard, A. van Elst, H. Schulz-Baldes, J. Math. Phys. 35 (1994),10, 5373-5451
3. R.M. Kaufmann, S. Khlebnikov, and B. Wehefritz-Kaufmann, accepted for publication in Journal of Noncommutative Geometry, preprint arXiv:1010.1709
4. D.M. Anderson, H.T. Davis, J.C.C. Nitsche and L.E. Scriven, Adv. Chem. Phys. 77, 337-396 (1990)
5. H. A. Schwarz, Gesammelte Mathematische Abhandlungen, Band I, Springer, Berlin, 1890.
6. A.H. Schoen, NASA TN-D5541 (1970).
7. V.N. Urade, T.C. Wei, M.P. Tate and H.W. Hillhouse. Chem. Mat. 19, 4 (2007) 768-777
8. S. Khlebnikov and H. W. Hillhouse, Phys. Rev. B 80, 115316 (2009)
9. D. R. Hofstadter, Physical Review B 14 (1976) 2239-2249
10. M. Marcolli and V. Mathai, Towards the fractional quantum Hall effect: a noncommutative geometry perspective, in: Noncommutative geometry and number theory: where arithmetic meets geometry, Caterina Consani, Matilde Marcolli (Eds.), Vieweg, Wiesbaden (2006) 235-263
11. A. Connes, Noncommutative Geometry. Academic Press, Inc., San Diego, CA, 1994.
12. P.G. Harper. Proc. Phys. Soc. London A68 (1955), 874-878
13. G. Panati, H. Spohn and S. Teufel, Comm. Math. Phys. 242 (2003) 547-578
14. C. A. Lambert, L. H. Radzilowski, E. L. Thomas, Philos. Transactions: Mathematical, Physical and Engineering Sciences, Vol. 354, No 1715, Curved Surfaces in Chemical Structure (1996) 2009-2023
15. R.M. Kaufmann, S. Khlebnikov, and B. Wehefritz-Kaufmann, in preparation