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Interacting Electrons in a Flat‐Band System within the Generalized Kadanoff–Baym Ansatz (2024)


Cosco, F., Tuovinen, R., & Lo Gullo, N. (2024). Interacting Electrons in a Flat‐Band System within the Generalized Kadanoff–Baym Ansatz. Physica Status Solidi B : Basic Research, Early View. https://doi.org/10.1002/pssb.202300561


JYU-tekijät tai -toimittajat


Julkaisun tiedot

Julkaisun kaikki tekijät tai toimittajatCosco, Francesco; Tuovinen, Riku; Lo Gullo, Nicolino

Lehti tai sarjaPhysica Status Solidi B : Basic Research

ISSN0370-1972

eISSN1521-3951

Julkaisuvuosi2024

Ilmestymispäivä19.03.2024

VolyymiEarly View

KustantajaWiley-VCH Verlag

JulkaisumaaSaksa

Julkaisun kielienglanti

DOIhttps://doi.org/10.1002/pssb.202300561

Julkaisun avoin saatavuusEi avoin

Julkaisukanavan avoin saatavuus

Julkaisu on rinnakkaistallennettu (JYX)https://jyx.jyu.fi/handle/123456789/94513

Rinnakkaistallenteen verkko-osoite (pre-print)https://arxiv.org/abs/2402.15378


Tiivistelmä

In this work, the study of the spectral properties of an open interacting system by solving the generalized Kadanoff-Baym ansatz (GKBA) master equation for the single-particle density matrix, namely the time-diagonal lesser Green's function, is reported. To benchmark its validity, the solution obtained within the GKBA is compared with the solution of the Dyson equation at stationarity. In both approaches, the interaction is treated within the self-consistent second-order Born approximation, whereas the GKBA still retains the retarded propagator calculated at the Hartree–Fock (HF) and wideband limit approximation level. The model chosen is that of two leads connected through a central correlated region where particles can interact and utilize the stationary particle current at the boundary of the junction as a probe of the spectral features of the system. The central region is chosen as the simplest model featuring a degenerate ground state with a flat band. The main result is that the solution of the GKBA master equation captures well the spectral feature of such system and specifically the transition from dispersionless to dispersive behavior of the flat band as the interaction is increased. Therefore, the GBKA solution retains the main spectral features of the self-energy used even when the propagator is at the HF level.


YSO-asiasanatkvanttifysiikkakiinteän olomuodon fysiikkaelektronitmatemaattiset mallitosittaisdifferentiaaliyhtälötnumeerinen analyysi

Vapaat asiasanatflat bands; generalized Kadanoff–Baym ansatz; quantum transports


Liittyvät organisaatiot

JYU-yksiköt:


OKM-raportointiKyllä

Raportointivuosi2024

Alustava JUFO-taso1


Viimeisin päivitys 2024-03-07 klo 01:25