Regensburg 2019 – wissenschaftliches Programm
DY 51.10: Poster
Donnerstag, 4. April 2019, 15:00–18:00, Poster B2
Critical properties of long-range ferromagnetic quantum Ising chains — •Stephan Humeniuk — Institut für Theoretische Physik III, Universität Stuttgart — Current address: Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
The ferromagnetic Ising chain is of great historical value, being one of the first models for which a Kosterlitz- Thouless (KT) transition was found and due to its important role in the creation of renormalization group theory [1,2]. In this work some gaps are filled in in the understanding of this well-studied model in the presence of a transverse field, notably the role of a diverging kink size for observing the KT transition in finite-size simulations. The quantum critical point of the inverse-square ferromagnet is highly anisotropic in real space and imaginary time, with a dynamical critical exponent z=1/2.
 Anderson et al., PRB 1, 4464 (1970); Kosterlitz, PRL 37, 1577 (1976).  Bhattacharjee et al., PRB 24, 3862 (1981).