Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Explanation of new controversial observations of fractional quantum Hall effect in graphene and in conventional 2DEG by topology methods and numerical Mone-Carlo Metropolis simulations

2016/21/D/ST3/00958

Keywords:

fractional quantum Hall effect hierachy of fillings graphene

Descriptors:

  • ST3_12: Molecular electronics
  • ST3_17: Other related subjects

Panel:

ST3 - Condensed matter physics: structure, electronic properties, fluids, nanosciences, biological physics

Host institution :

Politechnika Wrocławska

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Janusz Jacak 

Number of co-investigators in the project: 3

Call: SONATA 11 - announced on 2016-03-15

Amount awarded: 215 000 PLN

Project start date (Y-m-d): 2017-03-09

Project end date (Y-m-d): 2021-03-08

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. komputer laptop (20 000 PLN)

Information in the final report

  • Publication in academic press/journals (13)
  • Book publications / chapters in book publications (1)
  1. Magnetic flux quantum in 2D correlated states of multiparticle charged system
    Authors:
    Janusz E. Jacak
    Academic press:
    New Journal of Physics (rok: 2020, tom: 22, strony: 093027 (1-15)), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1367-2630/abae68 - link to the publication
  2. Phase diagrams for superfluidity of indirect excitons in double Hall systems Ga- As/GaAlAs/GaAs and bilayer-graphene/hBN/bilayer-graphene
    Authors:
    J. E. Jacak
    Academic press:
    Europhysics Letters (rok: 2018, tom: 123, strony: 16001- 1-7 (+ Supplementary Materials 1-11)), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1209/0295-5075/123/16001 - link to the publication
  3. Identifying Particle Correlations in Quantum Hall Regime
    Authors:
    P. Łydżba, J. Jacak
    Academic press:
    Annalen der Physik (rok: 2017, tom: -, strony: 1700221 (1-19)), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/andp.201700221 - link to the publication
  4. Many-body wave functions for correlated systems in magnetic fields: Monte Carlo simulations in the lowest Landau level
    Authors:
    P. Łydżba, J. E. Jacak
    Academic press:
    Journal of Physics: Cond. Matter. (rok: 2018, tom: 30, strony: 365601), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1361-648X/aad653 - link to the publication
  5. Formal derivation of the Laughlin function and its generalization for other topological phases of FQHE
    Authors:
    Janusz E. Jacak
    Academic press:
    Scientific Reports (Nature) (rok: 2022, tom: 12, strony: 616), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1038/s41598-021-04672-z - link to the publication
  6. Limits of Applicability of the Composite Fermion Model
    Authors:
    Janusz E. Jacak
    Academic press:
    Materials (rok: 2021, tom: 14, strony: 4267), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/ - link to the publication
  7. Topological Classification of Correlations in 2D Electron Systems in Magnetic or Berry Fields [article selected as Editor's Choice]
    Authors:
    Janusz E. Jacak
    Academic press:
    Materials (rok: 2021, tom: 14, strony: 1650 (1-23)), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/ma14071650 - link to the publication
  8. Topological approach to electron correlations at fractional quantum Hall effect
    Authors:
    Janusz E. Jacak
    Academic press:
    Annals of Physics (rok: 2021, tom: 430, strony: 168493), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aop.2021.168493 - link to the publication
  9. Unconventional fractional quantum Hall effect in bilayer graphene
    Authors:
    J. E. Jacak
    Academic press:
    Scientific Reports (Nature) (rok: 2017, tom: 7, strony: 8720 (1-13 + Supplementary Information 1-12)), Wydawca: Nature
    Status:
    Published
    DOI:
    10.1038/s41598-017-09166-5 - link to the publication
  10. Explanation of an unexpected occurrence of v = ±12 fractional quantum Hall effect states in monolayer graphene
    Authors:
    J. E. Jacak
    Academic press:
    Journal of Physics: Condensed Matter (rok: 2019, tom: 31, strony: 45300), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1361-648X/ab3998 - link to the publication
  11. Application of the path integral quantization to indistinguishable particle systems topologically confined by a magnetic field
    Authors:
    J. E. Jacak
    Academic press:
    Physical Review A (rok: 2018, tom: 97, strony: 012108-1-11), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevA.97.012108 - link to the publication
  12. Homotopy Phases of FQHE with Long-Range Quantum Entanglement in Monolayer and Bilayer Hall Systems
    Authors:
    Janusz E. Jacak
    Academic press:
    Nanomaterials (rok: 2020, tom: 10, strony: 1286 (1-27)), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/nano10071286 - link to the publication
  13. Superfluidity of indirect excitons vs quantum Hall correlation in double Hall sys- tems: different types of physical mechanisms of correlation organization in Hall bilayers
    Authors:
    J. E. Jacak
    Academic press:
    Physics Letters A (rok: 2018, tom: 382, strony: 2994-3003), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physleta.2018.07.007 - link to the publication
  1. Fractional Quantum Hall Effect in Graphene, a Topological Approach
    Authors:
    Janusz E. Jacak
    Book:
    Handbook of Graphene Set, Volume II : Handbook of Graphene Set: Physics, Chemistry, and Biology, ed. Tobias Stauber (rok: 2019, tom: Chapter 14, strony: 413–454), Wydawca: Wiley-Scrivener Publishing LLC
    Status:
    Published

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