Dresden 2020 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 5: Frustrated Magnets - General 1 (joint session TT/MA)

TT 5.11: Vortrag

Montag, 16. März 2020, 12:15–12:30, HSZ 304

Quantum criticality of an extended XY-chain with long-range interactions in a transverse field — •Patrick Adelhardt and Kai Phillip Schmidt — Friedrich-Alexander Universität, Erlangen, Germany

The critical breakdown of a one-dimensional quantum magnet with long-range interactions is studied by investigating an extended XY-model in a transverse field for the ferro- and antiferromagnetic case. While for the the limiting case of the pure long-range XY-model we can extract the elementary one-particle excitation analytically, for the long-range Ising limit as well as in the intermediate regime we use perturbative continuous unitary transformations on white graphs in combination with classical Monte Carlo simulations [1] for the graph embedding on the chain to extract high-order series expansions. This allows us to determine the quantum-critical regime including critical exponents.

[1] S. Fey, S.C. Kapfer, K.P. Schmidt, Phys. Rev. Lett. 122, 017203 (2019)