Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 51: Poster: Stat. Phys., Comp. Meth

DY 51.10: Poster

Thursday, April 4, 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.

[1] Anderson et al., PRB 1, 4464 (1970); Kosterlitz, PRL 37, 1577 (1976). [2] Bhattacharjee et al., PRB 24, 3862 (1981).