Dresden 2020 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 71: Correlated Electrons: Other Theoretical Topics

TT 71.3: Talk

Friday, March 20, 2020, 10:00–10:15, HSZ 304

Nonergodic Observables in the Hubbard Model at finite temperatures — •Clemens Watzenböck, Anna Kauch, Alessandro Toschi, and Karsten Held — Institute of Solid State Physics, Vienna University of Technology, 1040 Vienna, Austria

We show the appearance of nonergodic observables in specific regions of the phase-diagram for the Hubbard-Model. The nonergodicity can be quantified by the difference between the static isolated susceptibility and the isothermal suszeptibility. This is equivalent to the infinite time limit of <A(t) B> - <A><B> [1,2]. We present various ways to extract the nonergodic term from numerical data (e.g. quantum Monte Carlo simulations performed in imaginary time [3,4]). Our results are relevant for numerical analytic continuation of susceptibilities, and also give insight into symmetry broken phases.

[1] Wilcox et al. (1968) Phys. Rev., 174, 624-629

[2] Suzuki (1971) Physica, 51(2), 277 - 291

[3] Georges et al. (1996) Rev. Mod. Phys., 68, 13-125

[4] Wallerberger et al. (2019) Comput. Phys. Commun., 235, 388 - 399