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- Patrycja Łydżba, Lucjan Jacak, Janusz Jacak
- Scientific reports
- 2015

In this paper, the commensurability conditions, which originated from the unique topology of two-dimensional systems, are applied to determine the quantum Hall effect hierarchy in the case of a monolayer graphene. The fundamental difference in a definition of a typical semiconductor and a monolayer graphene filling factor is pointed out. The calculations… (More)

- K. Roszak, L. Jacak, P. Machnikowski
- 2006

We show that the phonon-induced pure dephasing of excitons in quantum dots can be interpreted in terms of information leakage from the carrier subsystem to the lattice environment. We derive a quantitative relation between the coherence of the system, as manifested by the amplitude of the coherent optical polarization, and the amount of available which path… (More)

- Yu. P. Krasny, N. P. Kovalenko, U. Krey, L. Jacak
- 2000

In the usual Fock-and Darwin-formalism with parabolic potential characterized by the confining energy ǫ 0 = ¯ hω 0 ≈ 3.4 meV, but including explicitly also the Zeeman coupling between spin and magnetic field, we study the combined orbital and spin magnetic properties of quantum dots in a two-dimensional electron gas with parameters for GaAs, for N =1 and N… (More)

This chapter is devoted to the recent theoretical results on the optical quantum control over charges confined in quantum dots under influence of phonons. We show that lattice relaxation processes lead to decoherence of the confined carrier states. The theoretical approach leading to a uniform, compact description of the phonon impact on carrier dynamics,… (More)

- J Jacak, I Jóźwiak, L Jacak, K Wieczorek
- Journal of physics. Condensed matter : an…
- 2010

Although they describe properties of 2D Hall systems in the fractional quantum regime well, composite fermions suffer from the unexplained character of the localized magnetic field flux-tubes attached to each particle in order to reproduce the Laughlin correlations via Aharonov-Bohm phase shifts. The identification of the cyclotron trajectories of 2D… (More)

- Janusz Jacak, Ireneusz J. Jozwiak, Lucjan Jacak
- Open Syst. Inform. Dynam.
- 2010

The commensurability condition is applied to determine the hierarchy of fractional filling of Landau levels for fractional quantum Hall effect (FQHE) in monolayer and bilayer graphene. Good agreement with experimental data is achieved. The presence of even-denominator filling fractions in the hierarchy of the FQHE in bilayer graphene is explained, including… (More)

- Lucjan Jacak, L Jacak
- 2000

A short overview of the technology and physics of semiconductor quantum dots is given. Different methods of creation of quantum dots and mechanisms of carrier confinements are described. The fundamental properties of these systems are discussed including current attempts for applications in new ultra-small opto-electronic semiconductor devices.

- Janusz Jacak, Ireneusz J. Jozwiak, Lucjan Jacak
- FCS
- 2007

- Janusz Jacak, Lucjan Jacak
- Science and technology of advanced materials
- 2016

The commensurability condition is applied to determine the hierarchy of fractional fillings of Landau levels in monolayer and in bilayer graphene. The filling rates for fractional quantum Hall effect (FQHE) in graphene are found in the first three Landau levels in one-to-one agreement with the experimental data. The presence of even denominator filling… (More)