Flat-band transport and Josephson effect through a finite-size sawtooth lattice

Ville A.J. Pyykkönen; Sebastiano Peotta; Philipp Fabritius; Jeffrey Mohan; Tilman Esslinger; Päivi Törmä

doi:10.1103/PhysRevB.103.144519

Flat-band transport and Josephson effect through a finite-size sawtooth lattice

Ville A.J. Pyykkönen
, Sebastiano Peotta
, Philipp Fabritius
, Jeffrey Mohan
, Tilman Esslinger
, Päivi Törmä^*

^*Tämän työn vastaava kirjoittaja

Fysiikka

Tutkimustuotos: Artikkeli › Tieteellinen › vertaisarvioitu

20 Sitaatiot (Scopus)

63 Lataukset (Pure)

Abstrakti

We study theoretically the transport through a finite-size sawtooth lattice coupled to two fermionic reservoirs kept in the superfluid state. We focus on the DC Josephson effect and find that the flat-band states of the sawtooth lattice can support larger critical current and a higher temperature than the dispersive band states. However, for this to occur the boundary states of the finite-size lattice need to be tuned at resonance with the bulk flat-band states by means of additional boundary potentials. We show that transport in a two-terminal configuration can reveal the salient features of the geometric contribution of flat-band superconductivity, namely the linear dependence of key quantities, such as the critical current and critical temperature, on the interaction. Our results are based on parameters of a realistic experimental lattice potential, and we discuss the conditions one needs to reach to observe the predicted effects experimentally.

Alkuperäiskieli	Englanti
Artikkeli	144519
Sivumäärä	12
Julkaisu	Physical Review B
Vuosikerta	103
Numero	14
DOI - pysyväislinkit	https://doi.org/10.1103/PhysRevB.103.144519
Tila	Julkaistu - 28 huhtik. 2021
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Rahoitus

We acknowledge stimulating discussions with Laura Corman, Samuel Häusler, and Martin Lebrat. V.A.J.P., S.P., and P.T. acknowledge support by the Academy of Finland under Projects No. 330384, No. 303351, No. 307419, No. 327293, No. 318987 (QuantERA project RouTe), No. 318937 (PROFI), and by Centre for Quantum Engineering (CQE) at Aalto University. V.A.J.P. acknowledges financial support by the Jenny and Antti Wihuri Foundation. T.E., P.F., and J.M. acknowledge the Swiss National Science Foundation (Grants No. 182650 and No. NCCR-QSIT) and European Research Council advanced grant TransQ (Grant No. 742579) for funding.

Julkaisufoorumi-taso

Jufo-taso 2

!!ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

Pääsy asiakirjaan

10.1103/PhysRevB.103.144519

Flat-band transport and Josephson
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title = "Flat-band transport and Josephson effect through a finite-size sawtooth lattice",

abstract = "We study theoretically the transport through a finite-size sawtooth lattice coupled to two fermionic reservoirs kept in the superfluid state. We focus on the DC Josephson effect and find that the flat-band states of the sawtooth lattice can support larger critical current and a higher temperature than the dispersive band states. However, for this to occur the boundary states of the finite-size lattice need to be tuned at resonance with the bulk flat-band states by means of additional boundary potentials. We show that transport in a two-terminal configuration can reveal the salient features of the geometric contribution of flat-band superconductivity, namely the linear dependence of key quantities, such as the critical current and critical temperature, on the interaction. Our results are based on parameters of a realistic experimental lattice potential, and we discuss the conditions one needs to reach to observe the predicted effects experimentally.",

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note = "Funding Information: We acknowledge stimulating discussions with Laura Corman, Samuel H{\"a}usler, and Martin Lebrat. V.A.J.P., S.P., and P.T. acknowledge support by the Academy of Finland under Projects No. 330384, No. 303351, No. 307419, No. 327293, No. 318987 (QuantERA project RouTe), No. 318937 (PROFI), and by Centre for Quantum Engineering (CQE) at Aalto University. V.A.J.P. acknowledges financial support by the Jenny and Antti Wihuri Foundation. T.E., P.F., and J.M. acknowledge the Swiss National Science Foundation (Grants No. 182650 and No. NCCR-QSIT) and European Research Council advanced grant TransQ (Grant No. 742579) for funding. Publisher Copyright: {\textcopyright} 2021 American Physical Society.",

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AU - Pyykkönen, Ville A.J.

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AU - Mohan, Jeffrey

AU - Esslinger, Tilman

AU - Törmä, Päivi

N1 - Funding Information: We acknowledge stimulating discussions with Laura Corman, Samuel Häusler, and Martin Lebrat. V.A.J.P., S.P., and P.T. acknowledge support by the Academy of Finland under Projects No. 330384, No. 303351, No. 307419, No. 327293, No. 318987 (QuantERA project RouTe), No. 318937 (PROFI), and by Centre for Quantum Engineering (CQE) at Aalto University. V.A.J.P. acknowledges financial support by the Jenny and Antti Wihuri Foundation. T.E., P.F., and J.M. acknowledge the Swiss National Science Foundation (Grants No. 182650 and No. NCCR-QSIT) and European Research Council advanced grant TransQ (Grant No. 742579) for funding. Publisher Copyright: © 2021 American Physical Society.

PY - 2021/4/28

Y1 - 2021/4/28

N2 - We study theoretically the transport through a finite-size sawtooth lattice coupled to two fermionic reservoirs kept in the superfluid state. We focus on the DC Josephson effect and find that the flat-band states of the sawtooth lattice can support larger critical current and a higher temperature than the dispersive band states. However, for this to occur the boundary states of the finite-size lattice need to be tuned at resonance with the bulk flat-band states by means of additional boundary potentials. We show that transport in a two-terminal configuration can reveal the salient features of the geometric contribution of flat-band superconductivity, namely the linear dependence of key quantities, such as the critical current and critical temperature, on the interaction. Our results are based on parameters of a realistic experimental lattice potential, and we discuss the conditions one needs to reach to observe the predicted effects experimentally.

AB - We study theoretically the transport through a finite-size sawtooth lattice coupled to two fermionic reservoirs kept in the superfluid state. We focus on the DC Josephson effect and find that the flat-band states of the sawtooth lattice can support larger critical current and a higher temperature than the dispersive band states. However, for this to occur the boundary states of the finite-size lattice need to be tuned at resonance with the bulk flat-band states by means of additional boundary potentials. We show that transport in a two-terminal configuration can reveal the salient features of the geometric contribution of flat-band superconductivity, namely the linear dependence of key quantities, such as the critical current and critical temperature, on the interaction. Our results are based on parameters of a realistic experimental lattice potential, and we discuss the conditions one needs to reach to observe the predicted effects experimentally.

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Flat-band transport and Josephson effect through a finite-size sawtooth lattice

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!!ASJC Scopus subject areas

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