By Johannes Knolle
ISBN-10: 3319239511
ISBN-13: 9783319239514
ISBN-10: 3319239538
ISBN-13: 9783319239538
Nominated by means of the Max Planck Institute for the Physics of complicated structures, Dresden, as a good Thesis
Presents for the 1st time a precise calculation for experimental signatures of fractionalized quasiparticles for a two-dimensional strongly-correlated topological magnetic phase
Relevant to theorists and experimentalists alike with connections to different fields in condensed topic and many-body physics
Technical advances coated intimately, permitting researchers to learn from the methodological growth underpinning the provided results
This thesis offers an actual theoretical research of dynamical correlation services in several stages of a two-dimensional quantum spin liquid. via calculating the dynamical spin constitution issue and the Raman scattering move part, this thesis indicates that there are salient signatures—qualitative and quantitative—of the Majorana fermions and the gauge fluxes rising as potent levels of freedom within the precisely solvable Kitaev honeycomb lattice version. The version is a consultant of a category of spin beverages with Majorana fermions coupled to Z2 gauge fields. The qualitative positive aspects of the reaction capabilities should still for this reason be attribute for this huge classification of topological states.
Topics
Strongly Correlated structures, Superconductivity
Magnetism, Magnetic Materials
Quantum box Theories, String conception
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Laughlin, Anomalous quantum hall effect: an incompressible quantum fluid with fractionally charged excitations. Phys. Rev. Lett. A. Lee, N. -G. Wen, Doping a Mott insulator: physics of high-temperature superconductivity. Rev. Mod. Phys. 78(1), 17–85 (2006) X. Liu, T. -G. Yin, W. Ku, A. -J. Kim, H. Gretarsson, Y. Singh, P. P. Hill, Long-range magnetic ordering in Na2 IrO3 . Phys. Rev. B 83(22), 220403 (2011) S. Lovesey, Theory of Neutron Scattering from Condensed Matter. W. McElhinny, The Earth’s Magnetic Field : Its History, Origin, and Planetary Perspective.
1 The action of various spin operators on the flux free ground state is shown schematically. A spin operator ia flips the sign of the link variable uhijia (with j defined by the bond direction a) which changes the number of fluxes neighboring the bond hijia , see (i). A two spin operator is only nonzero if it conserves the number of fluxes.
First phenomenological calculations point to a strong influence of vizon excitations on the structure factor of a Z2 QSL in addition to spinon excitations (Punk et al. 2014). a K M K Γ K M K b M 2 M Γ* 1 M M Γ 0 −2 0 1 (H, H, 0) K Γ −1 M (H, 0, 0) equivalent (H ,H ,0 )e qu iva len t (–K, K, 0) 3 K 0 1 2 (H, H, 0) Fig. 8 The dynamic structure factor as measured by INS is shown for the kagome lattice antiferromagnet Herbertsmithite, which shows no sign of magnetic ordering down to T D 50 mK; figure adapted from Han et al.
Dynamics of a Quantum Spin Liquid by Johannes Knolle
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