Autor: Kusmierz, A. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

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

Skocz do pozycji: 3.

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

Skocz do pozycji: 4.

Tytuł:: Jack 3/5 state from two-body interaction
Autorzy:: Kuśmierz, B.
Wu, Y.
Wójs, A.
Powiązania:: https://bibliotekanauki.pl/articles/1156769.pdf
Data publikacji:: 2016-01
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 73.43.-f
Opis:: We investigate the Read-Rezayi parafermion state of correlated electrons at the fractional Landau level filling ν=3/5. It is a Jack polynomial generated by contact four-body repulsion. We show by exact diagonalization that it is also emerges from a suitable short-range two-body interaction. We find that it closely matches Coulomb ground state in the second Landau level of non-relativistic fermions, and thus possibly describes the ν=13/5 (and, by conjugation, ν=12/5) fractional quantum Hall effect in GaAs.
Źródło:: Acta Physica Polonica A; 2016, 129, 1a; A-73-A-74
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

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

Informacja