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Tytuł:
Pairing and Condensation of Laughlin Quasiparticles in Fractional Quantum Hall Systems
Autorzy:
Wójs, A.
Yi, Kyung-Soo
Quinn, J. J.
Powiązania:
https://bibliotekanauki.pl/articles/2035751.pdf
Data publikacji:
2003-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
71.10.Pm
73.43.-f
Opis:
From the analysis of their interaction pseudopotentials, it is argued that (at certain filling factors) Laughlin quasiparticles can form pairs. It is further proposed that such pairs could have Laughlin correlations with one another and form condensed states of a new type. The sequence of fractions corresponding to these states includes all new fractions observed recently in experiment (e.g.,ν=5/13, 3/8, or 4/11).
Źródło:
Acta Physica Polonica A; 2003, 103, 6; 517-523
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Jack Polynomials and Fractional Quantum Hall Effect at ν = 1/3
Autorzy:
Kuśmierz, B.
Wójs, A.
Powiązania:
https://bibliotekanauki.pl/articles/1398638.pdf
Data publikacji:
2016-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
73.43.-f
71.10.Pm
Opis:
We investigate properties of strongly correlated, spinless electrons confined within given Landau level at filling factor ν = 1/3. Our analysis is based on the formalism of the Jack polynomials. Selected Jack polynomial wave functions are compared with ground states of the Coulomb interaction Hamiltonians, in different materials and the Landau levels, obtained by exact diagonalization. We show that certain Jack wave functions can be used as a description of fractional quantum Hall states.
Źródło:
Acta Physica Polonica A; 2016, 130, 2; 607-608
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pair-Distribution Functions of Laughlin Quasielectrons in Partially Filled Composite Fermion Levels
Autorzy:
Wodziński, D.
Wójs, A.
Quinn, J. J.
Powiązania:
https://bibliotekanauki.pl/articles/2044550.pdf
Data publikacji:
2005-11
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
71.10.Pm
73.43.-f
Opis:
Pair-distribution functions g(r) of the Laughlin quasielectrons are calculated in the fractional quantum Hall states at electron filling factorsν=4/11 and 3/8. They all have a shoulder at a medium range, supporting the idea of quasielectron cluster formation. The intra- and inter-cluster contributions to g(r) are identified. The average cluster sizes are estimated; pairs and triplets of quasielectrons are suggested atν=4/11 and 3/8, respectively.
Źródło:
Acta Physica Polonica A; 2005, 108, 5; 909-914
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mathematical Structure of Bosonic and Fermionic Jack States and Their Application in Fractional Quantum Hall Effect
Autorzy:
Kuśmierz, B.
Wu, Y.
Wójs, A.
Powiązania:
https://bibliotekanauki.pl/articles/1376066.pdf
Data publikacji:
2014-11
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
71.10.Pm
73.43.Cd
Opis:
Fractional quantum Hall effect is a remarkable behaviour of correlated electrons, observed exclusively in two dimensions, at low temperatures, and in strong magnetic fields. The most prominent fractional quantum Hall state occurs at Landau level filling factor ν = 1/3 and it is described by the famous Laughlin wave function, which (apart from the trivial Gaussian factor) is an example of Jack polynomial. Fermionic Jack polynomials also describe another pair of candidate fractional quantum Hall states: Moore-Read and Read-Rezayi states, believed to form at the ν = 1/2 and 3/5 fillings of the second Landau level, respectively. Bosonic Jacks on the other hand are candidates for certain correlated states of cold atoms. We examine here a continuous family of fermionic Jack polynomials whose special case is the Laughlin state as approximate wave functions for the 1/3 fractional quantum Hall effect.
Źródło:
Acta Physica Polonica A; 2014, 126, 5; 1134-1136
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fractional Quantum Hall States with Non-Abelian Statistics
Autorzy:
Möller, G.
Wójs, A.
Cooper, N.
Powiązania:
https://bibliotekanauki.pl/articles/1791297.pdf
Data publikacji:
2009-11
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
73.43.-f
71.10.Pm
Opis:
Using exact numerical diagonalization we have studied correlated many-electron ground states in a partially filled second Landau level. We consider filling fractions ν = 1/2 and 2/5, for which incompressible quantum liquids with non-Abelian anion statistics have been proposed. Our calculations include finite layer width, Landau level mixing and arbitrary deformation of the interaction pseudopotential. Computed energies, gaps, and correlation functions support the non-Abelian ground states at both ν = 1/2 ("Pfaffian") and ν = 2/5 ("parafermion" state).
Źródło:
Acta Physica Polonica A; 2009, 116, 5; 847-848
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spin Transition in a Correlated Liquid οf Composite Fermions
Autorzy:
Wójs, A.
Quinn, J.
Powiązania:
https://bibliotekanauki.pl/articles/1810412.pdf
Data publikacji:
2009-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
71.10.Pm
73.43.-f
Opis:
We study spin polarization of the $ν_e$=4/11 fractional quantum Hall state corresponding to the ν=1/3 filling of the second composite fermion Landau level, and predict a spin phase transition in realistic systems.
Źródło:
Acta Physica Polonica A; 2009, 115, 1; 153-155
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spin Phase Transition in a Correlated Composite Fermion Liquid
Autorzy:
Wójs, A.
Simion, G.
Wodziński, D.
Quinn, J. J.
Powiązania:
https://bibliotekanauki.pl/articles/2047368.pdf
Data publikacji:
2007-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
71.10.Pm
73.43.-f
Opis:
We study spin polarization of the ν$\text{}_{e}$=4/11 fractional quantum Hall state corresponding to the ν=1/3 filling of the second composite fermion Landau level, and predict a spin phase transition in realistic systems.
Źródło:
Acta Physica Polonica A; 2007, 112, 2; 153-156
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Condensation of Nonabelian Moore-Read Quasiholes in Correlated Composite Fermion Liquids
Autorzy:
Wodziński, D.
Wójs, A.
Quinn, J. J.
Powiązania:
https://bibliotekanauki.pl/articles/2047043.pdf
Data publikacji:
2006-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
71.10.Pm
73.43.-f
Opis:
Two- and three-body correlation functions (number of pairs or triplets vs. relative angular momentum) of electrons or Laughlin quasielectrons (i.e., composite fermions in their first excited Landau level) are studied numerically in several fractional quantum Hall liquids. It is shown directly that theν$\text{}_{e}$=4/11 liquid (corresponding to aν=1/3 filling of composite fermions in their first excited Landau level) is a paired state of quasielectrons, hence interpreted as a condensate of "second-generation" quasiholes of Moore-Readν=1/2 state of composite fermions.
Źródło:
Acta Physica Polonica A; 2006, 110, 3; 417-422
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparative Numerical Analysis of Quasi-Two-Dimensional Negative and Positive Trions in High Magnetic Fields
Autorzy:
Trojnar, A.
Wójs, A.
Powiązania:
https://bibliotekanauki.pl/articles/1812000.pdf
Data publikacji:
2008-11
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
71.35.Pq
71.35.Ji
71.10.Pm
Opis:
Exact diagonalization calculations in the Haldane spherical geometry are carried out for the three-body Coulomb problem in a quasi-two-dimensional quantum well, in the presence of perpendicular magnetic field. Simultaneous inclusion of several Landau levels and quantum well subbands in the configuration-interaction basis allowed for quantitative description of the coupling between the in-plane dynamics (governed by interplay of cyclotron quantization and Coulomb interactions) and single-particle excitations in the normal direction. The energy spectra of negative and positive trions are compared in symmetric and asymmetric wells with realistic widths and carrier concentrations. Effects of nearby impurities are also studied.
Źródło:
Acta Physica Polonica A; 2008, 114, 5; 1411-1416
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Calculation of Exciton and Trion Absorption Spectra in High Magnetic Fields
Autorzy:
Gładysiewicz, A.
Wójs, A.
Powiązania:
https://bibliotekanauki.pl/articles/2046912.pdf
Data publikacji:
2006-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
71.35.Pq
71.35.Ji
71.10.Pm
Opis:
Density of states and absorption spectrum of narrow quantum wells containing a small number of free electrons and subject to a high magnetic field are calculated numerically. The effect of an additional, second electron on the photoexcited electron-hole pair is analyzed. In density of states, the exciton-electron interaction fills the gaps between the Landau levels and yields additional discrete peaks corresponding to bound trions. In absorption, interaction with the additional free electron has no effect on the position or intensity of the main sequence of excitonic peaks. However, it gives rise to additional weaker trion peaks, both in the lowest and higher Landau levels.
Źródło:
Acta Physica Polonica A; 2006, 110, 2; 183-188
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Commutators of Jastrow Factors and Angular Momentum Operators
Autorzy:
Kuśmierz, B.
Wójs, A.
Powiązania:
https://bibliotekanauki.pl/articles/1033882.pdf
Data publikacji:
2017-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
73.43.-f
71.10.Pm
02.10.Ox
Opis:
We present detailed calculations of commutators of the Jastrow factor and certain differential operators useful in the fractional quantum Hall effect. In particular, we analyze action of the angular momentum operators projected from the Haldane sphere on an arbitrary composite fermions state. Examined L⁺ and L¯ momentum operators and following uniformity condition had proven to be useful in the search for candidates for quantum Hall ground states among many families of polynomials including the Jack polynomials.
Źródło:
Acta Physica Polonica A; 2017, 132, 2; 405-407
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ising Ferromagnetism of Composite Fermions
Autorzy:
Výborný, K.
Čertík, O.
Pfannkuche, D.
Wodziński, D.
Wójs, A.
Quinn, J. J.
Powiązania:
https://bibliotekanauki.pl/articles/2047042.pdf
Data publikacji:
2006-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
73.43.-f
71.10.Pm
75.10.Jm
Opis:
The quantum Hall ferromagnets at the half-filling of a pair of degenerate electron or composite fermion Landau levels are studied by exact numerical diagonalization. The results obtained using open and closed geometries (rectangular - with periodic boundary conditions and spherical) are compared. The ferro- and paramagnetic ground states are identified in finite-size energy spectra, and the pair-correlation functions are used in search of the domain structure at half-polarization.
Źródło:
Acta Physica Polonica A; 2006, 110, 3; 409-415
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Quantum Hall State ν = 1/3 and Antilexicographic Order of Partitions
Autorzy:
Kuśmierz, B.
Wójs, A.
Powiązania:
https://bibliotekanauki.pl/articles/1185382.pdf
Data publikacji:
2016-11
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
73.43.-f
71.10.Pm
02.10.Ox
Opis:
We focus on a certain aspect of trial wave function approach in the fractional quantum Hall effect. We analyze the role of partition orderings and discuss the possible numerical search for the partition determining the subspace of the Hilbert space containing a particular quantum Hall wave function. This research is inspired by analogical properties of certain polynomials which are the object of interest of the symmetric function theory, especially the Jack polynomials (related to the so-called "Jack states"). Presented method may be used in the search of candidate trial wave functions. We also justify (in certain cases) diagonalization of the Coulomb repulsion Hamiltonian restricted to certain subspaces. We focus on the states at filling factor ν=1/3 in the lowest and second Landau level.
Źródło:
Acta Physica Polonica A; 2016, 130, 5; 1183-1186
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Composite Fermions and the Fractional Quantum Hall Effect
Autorzy:
Wójs, A.
Quinn, J. J.
Powiązania:
https://bibliotekanauki.pl/articles/2011133.pdf
Data publikacji:
1999-11
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
71.10.Pm
73.20.Dx
73.40.Hm
Opis:
The mean field composite fermion picture successfully predicts low lying states of fractional quantum Hall systems. This success cannot be attributed to a cancellation between the Coulomb and Chern-Simons interactions beyond the mean field and solely depends on the short-range of the Coulomb pseudopotential in the lowest Landau level. The class of pseudopotentials for which the mean field composite fermion picture can be applied is defined. The success or failure of the mean field composite fermion picture in various systems (electrons in excited Landau levels, Laughlin quasiparticles, charged magnetoexcitons) is explained.
Źródło:
Acta Physica Polonica A; 1999, 96, 5; 593-602
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Composite Fermion Dynamics in Half-Filled Landau Levels of Graphene
Autorzy:
Wójs, A.
Möller, G.
Cooper, N. R.
Powiązania:
https://bibliotekanauki.pl/articles/2047918.pdf
Data publikacji:
2011-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
71.10.Pm
73.22.Pr
73.43.Cd
Opis:
We report on exact-diagonalization studies of correlated many-electron states in the half-filled Landau levels of graphene, including pseudospin (valley) degeneracy. We demonstrate that the polarized Fermi sea of non-interacting composite fermions remains stable against a pairing transition in the lowest two Landau levels. However, it undergoes spontaneous depolarization, which is unprotected owing to the lack of single-particle pseudospin splitting. These results suggest the absence of the Pfaffian phase in graphene.
Źródło:
Acta Physica Polonica A; 2011, 119, 5; 592-594
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł

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