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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
Tytuł:
Excitations of the Moore-Read ν=$\frac{5}{2}$ State: Three-Body Correlations and Finite-Size Effects on a Sphere
Autorzy:
Wόjs, A.
Quinn, J. J.
Powiązania:
https://bibliotekanauki.pl/articles/2038124.pdf
Data publikacji:
2004-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
71.10.Pm
73.43.-f
Opis:
Correlations in partially filled electron and composite fermion Landau levels are studied numerically. Insight into the nature of the correlations is obtained by using model pair pseudopotentials. Energy spectra of a model short-range three-body repulsion are calculated. Moore-Read ground state at the half-filling and its quasielectron, quasihole, magnetoroton, and pair-breaking excitations are all identified. The quasielectron/quasihole excitations are described by a composite fermion model for Laughlin-correlated electron pairs. Comparison of energy spectra and wavefunction overlaps obtained for different pseudopotentials suggests that finite-size effects can be important in numerical diagonalization studies on a sphere.
Źródło:
Acta Physica Polonica A; 2004, 105, 6; 575-584
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
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:
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:
Landau levels of double-Weyl nodes in a simple lattice model
Autorzy:
Rechciński, R.
Tworzydło, J.
Powiązania:
https://bibliotekanauki.pl/articles/1058790.pdf
Data publikacji:
2016-11
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
71.70.Di
73.43.-f
Opis:
In the Weyl semimetals, a recently discovered class of bulk materials, inverted band gap closes in the first Brillouin zone at topologically protected points of degeneracy called the Weyl nodes. By using the Chern number formalism it is possible to assign to each of the nodes an integer topological charge Q. While around typical Weyl points the energy disperses linearly in all three directions, double-Weyl nodes (with |Q|=2) exhibit quadratic dispersion in two directions and linear in the third one. We use a simple 2-band tight-binding lattice model to investigate the dispersion of the Landau levels in the presence of quantizing magnetic field in the vicinity of a double-Weyl node. In the long wavelength limit we obtain analytically the expected presence of two chiral levels. In addition, we find numerous level crossings between the non-chiral Landau levels and the chiral ones, a feature which is distinct from the single node case. Calculations for a finite-size sample, both with periodic and hard-wall boundary conditions (the latter corresponding to slab geometry), show that the two chiral levels hybridize in the conduction band with the two lowest non-chiral Landau levels. In the case of slab geometry these four levels are responsible for the formation of a protected surface state.
Źródło:
Acta Physica Polonica A; 2016, 130, 5; 1179-1182
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:
Introduction to Quantum Hall Effects
Autorzy:
Wysokiński, K. I.
Powiązania:
https://bibliotekanauki.pl/articles/2027480.pdf
Data publikacji:
2001-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
73.43.-f
73.40.-c
73.50.Fq
Opis:
The quantum Hall effect is a set of phenomena observed at low temperature in a two-dimensional electron gas subject to a strong perpendicular magnetic field. It manifests itself as a quantization of the nondiagonal elements (ρ$\text{}_{xy}$) of the resistivity tensor accompanied by simultaneous vanishing ρ$\text{}_{xx}$ for ranges of the magnetic field. For the integer quantum Hall effect ρ$\text{}_{xy}$= h/νe$\text{}^{2}$, where h is the Planck constant, e - charge of an electron andν is an integer, while for the fractional quantum Hall effectν is a simple fraction. In spite of similar phenomenology deep and profound differences exist between these two effects. In the lecture the precision of the Hall quantization in the integer quantum Hall effect and briefly new types of quantum fluids observed in the fractional quantum Hall effect are discussed. Some recent theoretical and experimental discoveries connected with quantum Hall liquids are also mentioned.
Źródło:
Acta Physica Polonica A; 2001, 100, 3; 287-299
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spin Hall Conductivity of a Two-Dimensional Electron Gas with Random Rashba Field
Autorzy:
Dyrdał, A.
Rataj, M.
Powiązania:
https://bibliotekanauki.pl/articles/1386819.pdf
Data publikacji:
2015-02
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
73.43.-f
72.25.Hg
73.61.Wp
Opis:
Spin Hall effect in a two-dimensional electron gas with uniform and random components of the Rashba spin-orbit interaction is considered theoretically. Relaxation time due to scattering on Rashba fluctuations is also calculated. It is shown that the presence of a uniform component of Rashba coupling not only modifies relaxation time, but also suppresses the contribution to the spin Hall conductivity due to random Rashba field.
Źródło:
Acta Physica Polonica A; 2015, 127, 2; 499-501
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Intrinsic Spin Hall and Spin Nernst Effects in Single-Layer Graphene: Tight-Binding vs. Effective Model
Autorzy:
Dyrdał, A.
Barnaś, J.
Powiązania:
https://bibliotekanauki.pl/articles/1427583.pdf
Data publikacji:
2012-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
73.43.-f
72.25.Hg
73.61.Wp
Opis:
We calculate topological contributions to the spin Hall and spin Nernst effects due to intrinsic spin-orbit interaction in a single-layer graphene. To describe electronic spectrum of the graphene we have assumed the k·p model as well as the full tight-binding Hamiltonian. The corresponding contributions to the spin Hall and spin Nernst effects have been determined using the linear response theory and Green function formalism.
Źródło:
Acta Physica Polonica A; 2012, 121, 5-6; 1198-1200
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Effect of the Electron Temperature on Incompressible Strips in Quantum Hall Regime
Autorzy:
Boz Yurdaşan, N.
Siddiki, A.
Sökmen, İ.
Powiązania:
https://bibliotekanauki.pl/articles/1399821.pdf
Data publikacji:
2013-02
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
73.43.-f
73.43.Cd
44.30.+v
31.15.B-
Opis:
We used a theory of thermo-hydrodynamics in quantum Hall system observed on a two-dimensional system in high magnetic fields at low temperatures, to investigate the electron temperature in the linear response regime. The variation of electron temperature exhibits an antisymmetric distribution of the incompressible strips. According to this result, we obtain effects of the electron temperature on the current density distribution using a Thomas-Fermi-Poisson approximation. We observe that incompressible strips change with increasing and/or decreasing the electron temperature with regard to the lattice temperature.
Źródło:
Acta Physica Polonica A; 2013, 123, 2; 314-316
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
Wyświetlanie 1-15 z 23

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