Prof. Dr. Martin Greiter

Theoretische Physik I
Julius-Maximilians-Universität Würzburg
Am Hubland

97074 Würzburg

Deutschland

Gebäude: M1 Informatik/Physik

Raum: 03.023

Telefon: +49 931 31-81739

E-Mail: greiter@physik.uni-wuerzburg.de

Research Interests

Spin liquids and exact parent Hamiltonians
Fractionally quantized Hall states
Topological Insulators
Spin chains and integrable models
Conformal field theory
Itinerant antiferromagnetism and CuO superconductivity
Synthetic topological matter

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 (Springer, Berlin, 2011)
M. Greiter, Is electromagnetic gauge invariance spontaneously violated in superconductors?, Annals of Physics 319, 217-249 (2005)

S. Weidemann, M. Kremer, T. Helbig, T. Hofmann, A. Stegmaier, M. Greiter, R. Thomale, and A. Szameit, Topological Funneling of Light, published in Science 2020/3/26
D. Di Sante, J. Erdmenger, M. Greiter, I. Matthaiakakis, R. Meyer, D. Rodriguez Fernandez, R. Thomale, E. van Loon, and T. Wehling, Turbulent hydrodynamics in
strongly correlated Kagome metals, submitted to Nature Physics.
T. Hofmann, T. Helbig, F. Schindler, N. Salgo, M. Brzezińska, M. Greiter, T. Kiessling, D. Wolf, A. Vollhardt, A. Kabaši, C.H. Lee, A. Bilušić, R. Thomale, and T. Neupert,
Reciprocal skin effect and its realization in a topolectrical circuit, submitted to Phys. Rev. X.
T. Helbig, T. Hofmann, S. Imhof, M. Abdelghany, T. Kiessling, L.W. Molenkamp, C. Hua Lee, A. Szameit, M. Greiter, and R. Thomale, Observation of the non-Hermitian
skin effect, submitted to Nature Physics.
C.H. Lee, T. Hofmann, T. Helbig, Y. Liu, X. Zhang, M. Greiter, and R. Thomale, Imaging nodal knots in momentum space through topolectrical circuits, submitted to
Nature Communications.
M. Greiter, F.D.M. Haldane, and R. Thomale, Non-Abelian Statistics in one dimension: topological momentum spacings and SU(2) level k fusion rules, Phys. Rev. B 100,
115107 (2019).
T. Hofmann, T. Helbig, C.H. Lee, M. Greiter, and R. Thomale, Chiral Voltage Propagation and Calibration in a Topolectrical Chern Circuit, Phys. Rev. Lett. 122, 247702
(2019).
M. Greiter and R. Thomale, Landau level quantization of Dirac electrons on the sphere, Ann. Phys. 394, 33 (2018).
M. Greiter, V. Schnells, and R. Thomale, Method to identify parent Hamiltonians for trial states, Phys. Rev. B 98, 081113(R) (2018).
S. Imhof, C. Berger, F. Bayer, J. Brehm, L. Molenkamp, T. Kiessling, F. Schindler, C.H. Lee, M. Greiter, T. Neupert, and R. Thomale, Topolectrical circuit realization of
topological corner modes, Nature Physics 14, 925 (2018).
M. Sekania, S. Plugge, M. Greiter, R. Thomale, and P. Schmitteckert, Braiding errors in interacting Majorana quantum wires , Phys. Rev. B 96, 094307 (2017).
P. Sessi, D. Di Sante, A. Szczerbakow, F. Glott, S. Wilfert, H. Schmidt, T. Bathon, P. Dziawa, M. Greiter, T. Neupert, G. Sangiovanni, T. Story, R. Thomale, and M. Bode,
Robust spin-polarized midgap states at step edges of topological crystalline insulators, Science 354, 1269 (2016).
R. Lundgren, J. Blair, P. Laurell, N. Regnault, G.A. Fiete, M. Greiter, and R. Thomale, Universal entanglement spectra in critical spin chains, Phys. Rev. B 94, 081112(R)
(2016).
Y. Iqbal, H.O. Jeschke, J. Reuther, R. Valentí, I.I. Mazin, M. Greiter, and R. Thomale, Paramagnetism in the kagome compounds (Zn,Mg,Cd)Cu3(OH)6Cl, Phys. Rev. B 92,
220404(R) (2015).
T. Meng, T. Neupert, M. Greiter, and R. Thomale, Coupled-wire construction of chiral spin liquids, Phys. Rev. B 91, 241106(R) (2015).
T. Neupert, S. Rachel, R. Thomale, and M. Greiter, Interacting Surface States of Three-Dimensional Topological Insulators, Phys. Rev. Lett. 115, 017001 (2015)
M. Greiter, V. Schnells, and R. Thomale, Laughlin states and their quasiparticle excitations on the torus , Phys. Rev. B 93, 245156 (2016).
R. Lundgren, J. Blair, M. Greiter, A. Läuchli, G.A. Fiete, and R. Thomale, Momentum-Space Entanglement Spectrum of Bosons and Fermions with Interactions, Phys. Rev.
Lett. 113, 256404 (2014).
M. Greiter, V. Schnells, and R. Thomale, The 1D Ising model and topological order in the Kitaev chain, Ann. Phys. 351, 1026 (2014).
B. Scharfenberger and M. Greiter, Momentum classification of SU(n) spin chains using extended Young tableaux, J. Phys. A 45, 455202 (2012).
M. Greiter and R. Thomale, Generalizations of Perelomov’s identity on the completeness of coherent states, Phys. Rev. B 85, 155145 (2012).
M. Greiter, D.F. Schroeter, and R. Thomale, Parent Hamiltonian for the non-Abelian chiral spin liquid , Phys. Rev. B 89, 165125 (2014).
R. Thomale, S. Rachel, P. Schmitteckert, and M. Greiter, A family of spin-S chain representations of SU(2)_k Wess-Zumino-Witten models, Phys. Rev. B 85, 195149 2012.
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).