TRIQS/SOM: Implementation of the stochastic optimization method for analytic continuation

Krivenko, Igor; Harland, Malte

doi:10.1016/j.cpc.2019.01.021

Cited by 28 publications

(19 citation statements)

References 45 publications

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“…The latter is dressed only in the local self-energy and is given by the usual EDMFT relation [26,27]. The single-and two-particle spectral functions are obtained, respectively, from the lattice Green's function and magnetic susceptibility by a stochastic optimization method for analytic continuation [53,54]. The details of calculations can be found in [43].…”

Section: Methodsmentioning

confidence: 99%

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Quantum spin fluctuations and evolution of electronic structure in cuprates

et al. 2018

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Correlation effects in CuO 2 layers give rise to a complicated landscape of collective excitations in high-T c cuprates. Their description requires an accurate account for electronic fluctuations at a very broad energy range and remains a challenge for the theory. Particularly, there is no conventional explanation of the experimentally observed "resonant" antiferromagnetic mode, which is often considered to be a mediator of superconductivity. Here we model spin excitations of the hole-doped cuprates in the paramagnetic regime and show that this antiferromagnetic mode is associated with electronic transitions between anti-nodal X and Y points of the quasiparticle band that is pinned to the Fermi level. We observe that upon doping of 7-12% the electronic spectral weight redistribution leads to the formation of a very stable quasiparticle dispersion due to strong correlation effects. The reconstruction of the Fermi surface results in a flattening of the quasiparticle band at the vicinity of the nodal MΓ/2 point, accompanied by a high density of charge carriers. Collective excitations of electrons between the nodal MΓ/2 and XM/2 points form the additional magnetic holes state in magnetic spectrum, which protects the antiferromagnetic fluctuation. Further investigation of the evolution of spin fluctuations with the temperature and doping allowed us to observe the incipience of the antiferromagnetic ordering already in the paramagnetic regime above the transition temperature. Additionally, apart from the most intensive low-energy magnetic excitations, the magnetic spectrum reveals less intensive collective spin fluctuations that correspond to electronic processes between peaks of the single-particle spectral function. arXiv:1806.05216v2 [cond-mat.str-el]

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Section: Methodsmentioning

confidence: 99%

“…6 and Fig. 8, respectively, and obtained from the lattice Green's function and magnetic susceptibility by the stochastic optimization method for analytic continuation [53,54].…”

Section: Calculation Of Observablesmentioning

confidence: 99%

Quantum spin fluctuations and evolution of electronic structure in cuprates

et al. 2018

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“…In this paper, we further explore this new procedure and present in detail the involved theory, provide practical examples, and give extensive new data both for static and dynamic quantities for hitherto unexplored parameters. In addition to the value of our results for the description of matter under extreme conditions, we expect our new reconstruction procedure to be of broad interest for different communities, such as ultracold bosonic atoms [82][83][84][85] or condensed matter physics [86][87][88].…”

Section: Introductionmentioning

confidence: 82%

Ab initio path integral Monte Carlo approach to the static and dynamic density response of the uniform electron gas

2019

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In a recent Letter [T. Dornheim et al., Phys. Rev. Lett. 121, 255001 (2018)] we have presented the first ab initio results for the dynamic structure factor S(q, ω) of the uniform electron gas for conditions ranging from the warm dense matter regime to the strongly correlated electron liquid. This was achieved on the basis of exact path integral Monte Carlo data by stochastically sampling the dynamic local field correction G(q, ω). In this paper, we introduce in detail this new reconstruction method and provide several practical demonstrations. Moreover, we thoroughly investigate the associated imaginary-time density-density correlation function F (q, τ ). The latter also gives us access to the static density-response function χ(q) and static local field correction G(q), which are compared to standard dielectric theories like the widespread random phase approximation. In addition, we study the high-frequency limit of G(q, ω) and provide extensive new results for the dynamic structure factor for different densities and temperatures. Finally, we discuss the implications of our findings for warm dense matter research and the interpretation of experiments.

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“…However, this method fails to resolve sharp spectral features like the Andreev bound states. Therefore we use the Mishchenko's stochastic optimization method (SOM) [24] in its recent implementation [25] which is better suited to our needs.…”

Section: The Ct-hyb Methodsmentioning

confidence: 99%

Correlation effects in superconducting quantum dot systems

Pokorný

Žonda

2018

Physica B: Condensed Matter

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We study the effect of electron correlations on a system consisting of a single-level quantum dot with local Coulomb interaction attached to two superconducting leads. We use the single-impurity Anderson model with BCS superconducting baths to study the interplay between the proximity induced electron pairing and the local Coulomb interaction. We show how to solve the model using the continuous-time hybridization-expansion quantum Monte Carlo method. The results obtained for experimentally relevant parameters are compared with results of self-consistent second order perturbation theory as well as with the numerical renormalization group method.Comment: 5 pages, 5 figures, contribution to SCES 2017 Prague conference proceeding

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TRIQS/SOM: Implementation of the stochastic optimization method for analytic continuation

Cited by 28 publications

References 45 publications

Quantum spin fluctuations and evolution of electronic structure in cuprates

Quantum spin fluctuations and evolution of electronic structure in cuprates

Ab initio path integral Monte Carlo approach to the static and dynamic density response of the uniform electron gas

Correlation effects in superconducting quantum dot systems

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