Current browse context:
cond-mat.mes-hall
Change to browse by:
References & Citations
Condensed Matter > Mesoscale and Nanoscale Physics
Title: Footprints of impurity quantum phase transitions in quantum Monte Carlo statistics
(Submitted on 29 Dec 2020 (v1), last revised 6 Apr 2021 (this version, v2))
Abstract: Interacting single-level quantum dot connected to BCS superconducting leads represents a well-controllable system to study the interplay between the correlation effects and the electron pairing that can result in a $0-\pi$ (singlet-doublet) quantum phase transition. The physics of this system can be well described by the impurity Anderson model. We present an analysis of the statistics of the perturbation expansion order of the continuous-time hybridization expansion quantum Monte Carlo algorithm in the vicinity of such a first-order impurity quantum phase transition. By calculating the moments of the histograms of the expansion order which deviate from the ideal Gaussian shape, we provide an insight into the thermodynamic mixing of the two phases at low but finite temperatures which is reflected in the bimodal nature of the histograms.
Submission history
From: Vladislav Pokorný [view email][v1] Tue, 29 Dec 2020 22:18:10 GMT (359kb,D)
[v2] Tue, 6 Apr 2021 12:32:47 GMT (419kb,D)
Link back to: arXiv, form interface, contact.