Dr. Martin Greiter

Martin Greiter

Ph.D., M.A., M.Phil.

Karlsruhe Institute of Technology (KIT)

Institut für Theorie der Kondensierten Materie

Postfach 3640, 76021 Karlsruhe, Germany

email: greiter (at) tkm.uni-karlsruhe.de

phone: +49 721 6084 3371

fax: +49 721 6084 7779

Visitor Address:

Physikhochhaus (Geb.Nr. 30.23), 10. OG/floor, room 10-13

Wolfgang-Gaede-Str. 1, 76131 Karlsruhe, Germany

Research Interests
- Fractional quantization in quantized Hall states and (itinerant) low-dimensional antiferromagnets
- High-T_c superconductivity
- Novel states of matter which may be realized by cold atoms in optical lattices
Books
- M. Greiter, Mapping of Parent Hamiltonians: from Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains , Springer Tracts of Modern Physics, Vol 244 (2011).
Recent Publications
- R. Thomale, S. Rachel, P. Schmitteckert, and M. Greiter, A family of spin-S chain representations of SU(2)_k Wess-Zumino-Witten models, arXiv:1110.5956.
- B. Scharfenberger, R. Thomale, and M. Greiter, Fractional Spin Liquid Hierarchy for Spin S Antiferromagnets, Phys. Rev. B 84, 140404(R) (2011).
- M. Greiter and Holger Schmidt, Magnetic Excitations in the Site-Centered Stripe Phase: Spin Wave Theory of Coupled Three-Leg Ladders , Phys. Rev. B 83, 144422 (2011).
- M. Greiter, Landau Level Quantization on the Sphere., Phys. Rev. B 83, 115129 (2011).
- M. Greiter and Holger Schmidt, Evidence for Site-Centered Stripes from Magnetic Excitations in CuO Superconductors , Phys. Rev. B 82, 144509 (2010).
- M. Greiter, On the linear dispersion--linear potential quantum oscillator , Annals of Physics 325, 1349 (2010).
- M. Greiter, Confinement in a Quantum Magnet , Nature Physics 6, 5 (2010).
- S. Rachel, D. Schuricht, B. Scharfenberger, R. Thomale, and M. Greiter, Spontaneous Parity Violation in a Quantum Spin Chain, J. Phys.: Conf. Ser. 200, 022049 (2010).
- R. Thomale, E. Kapit, D.F. Schroeter, and M. Greiter, Parent Hamiltonian for the Chiral Spin Liquid, Phys. Rev. B 80, 104406 (2009).
- S. Rachel, R. Thomale, M. Führinger, P. Schmitteckert, and M. Greiter, Spinon confinement and the Haldane gap in SU(N) spin chains, Phys. Rev. B 80, 180420(R) (2009).
- M. Greiter and R. Thomale, Non-Abelian Statistics in a Quantum Antiferromagnet, Phys. Rev. Lett. 102, 207203 (2009).
- M. Greiter, Statistical Phases and Momentum Spacings for One-Dimensional Anyons, Phys. Rev. B 79, 064409 (2009)
- S. Rachel and M. Greiter, Exact models for trimerization and tetramerization in spin chains, Phys. Rev. B 78, 134415 (2008).
- M. Führinger, S. Rachel, R. Thomale, M. Greiter, and P. Schmitteckert, DMRG studies of critical models of SU(N) spin chains, Ann. Phys. (Berlin) 17, 922 (2008).
- R. Thomale and M. Greiter, Numerical analysis of three-band models for CuO planes as candidates for a spontaneous T violating orbital current phase, Phys. Rev. B 77, 094511 (2008)
- D.F. Schroeter, E. Kapit, R. Thomale, and M. Greiter, Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State, Phys. Rev. Lett. 99, 097202 (2007).
- M. Greiter and R. Thomale, No Evidence for Spontaneous Orbital Currents in Numerical Studies of Three-Band Models for the CuO Planes of High Temperature Superconductors, Phys. Rev. Lett. 99, 027005 (2007).
- M. Greiter and D. Schuricht, Many-Spinon States and the Secret Significance of Young Tableaux, Phys. Rev. Lett. 98, 237202 (2007).
- M. Greiter and S. Rachel, Valence bond solids for SU(n) spin chains: Exact models, spinon confinement, and the Haldane gap, Phys. Rev. B 75, 184441 (2007).
- M. Greiter, S. Rachel, and D. Schuricht, Exact results for SU(3) spin chains: Trimer states, valence bond solids, and their parent Hamiltonians, Phys. Rev. B 75, 060401(R) (2007).
- R. Thomale, D. Schuricht, and M. Greiter, Charge excitations in SU(n) spin chains: Exact results for the 1/r² model, Phys. Rev. B 75, 024405 (2007).
- Links to arXiv, to google scholar, and to the APS online archive
Reviews
- M. Greiter, Is electromagnetic gauge invariance spontaneously violated in superconductors?, Annals of Physics 319, 217-249 (2005).
Long Term Favorites
- M. Greiter, S=1 spin liquids: broken discrete symmetries restored, J. Low Temp. Phys. 126, 1029 (2002).
- M. Greiter, Fictitious flux confinement: magnetic pairing in coupled spin chains or planes, Phys. Rev. B 66, 054505 (2002).
- M. Greiter, The two-leg t-J ladder: a spin liquid generated by Gutzwiller projection of magnetic bands, Phys. Rev. B 65, 134443 (2002).
- M. Greiter, Quantum Hall Quarks, Physica E 1, 1 (1997).
- M. Greiter, Microscopic formulation of the hierarchy of quantized Hall states, Phys. Lett. B 336, 48 (1994).
- M. Greiter, Root configurations and many body interactions for fractionally quantized Hall states, Bull. Am. Phys. Soc. 38, 137 (1993).
- M. Greiter, X.G. Wen, and F. Wilczek, Paired Hall states, Nucl. Phys. B 374, 567, (1992).
- M. Greiter and F. Wilczek, Exact solutions and the adiabatic heuristic for quantum Hall states , Nucl. Phys. B 370, 577 (1992).
- M. Greiter and F. Wilczek, Heuristic principle for quantized Hall states, Mod. Phys. Lett. B 4, 1063 (1990).
- M. Greiter, F. Wilczek, and E. Witten, Hydrodynamic relations in superconductivity, Mod. Phys. Lett. B 3, 903 (1989).
Former Teaching
- Topological order: from quantized Hall states to magnetic systems, ws 2009/10
- Antiferromagnetism und high-T_c superconductivity, ws 2008/09
- Theoretische Physik F: Statistische Physik, ss 2008
- Introduction to fractional quantization: quantum Hall liquids, spin chains, and high-Tc superconductivity, ws 2007/08
- Quantum theory of many particle systems, ss 2007
- Macroscopic quantum phenomena in metals and ultra cold gases, ws 2006/07
Former Ph.D. and Diploma Students
- Dr. Dirk Schuricht (2006-2008 University of Oxford, since 2008 Universtät Aachen)
- Dr. Stephan Rachel (since 2009 Yale University)
- Dr. Ronny Thomale (since 2009 Princeton University)
- Dr. Burkhard Scharfenberger (phone: 7006)

Former Diploma Students
- Dr. Holger Schmidt
- Max Führinger

Webmaster, Friday, 01-Feb-2007 17:05:05 METDST