A5112684087- Physics of Superconductivity and Magnetism
- Cold Atom Physics and Bose-Einstein Condensates
- Organic and Molecular Conductors Research
- Quantum and electron transport phenomena
- Quantum, superfluid, helium dynamics
- Advanced Chemical Physics Studies
- Spectral Theory in Mathematical Physics
- Quantum many-body systems
- Magnetic and transport properties of perovskites and related materials
- Advanced Condensed Matter Physics
- Evolution and Genetic Dynamics
- Theoretical and Computational Physics
- Intellectual Property Rights and Media
- Mathematical Biology Tumor Growth
- Magnetic properties of thin films
- Magnetism in coordination complexes
- Polish Historical and Cultural Studies
- Topological Materials and Phenomena
- Astro and Planetary Science
- Random Matrices and Applications
- Superconducting Materials and Applications
- European Politics and Security
- Spectroscopy and Quantum Chemical Studies
- Cancer Genomics and Diagnostics
- Quantum chaos and dynamical systems
Pontifical University of John Paul II in Kraków
2024
Adam Mickiewicz University in Poznań
2007-2024
Institute of Physics
1998-2008
University of Salerno
2002-2003
Results from the TESS mission showed that previous studies strngly underestimated number of slow rotators, revealing importance studying those asteroids. For most slowly rotating asteroids (P > 12), no spin and shape model is available because observation selection effects. This hampers determination their thermal parameters accurate sizes. We continue our campaign in minimising effects among main belt Our targets are rotators with low light-curve amplitudes. The goal to provide scaled...
The attractive Hubbard model for normal and superconducting ground states is examined arbitrary electron concentration by the use of slave-boson mean-field approximation (SBMFA) technique. This approach, at a saddle-point level, equivalent to Gutzwiller approximation. Several superfluid characteristics are shown hypercubic lattices all dimensions, including , comparison with Bardeen-Cooper-Schrieffer Hartree-Fock (BCS-HFA) calculations exact results made. Our show quantitative qualitative...
The paper examines part of the ground state diagram extended Hubbard model, with on-site attraction U < 0 and intersite repulsion W > in presence charge density waves, superconducting η-superconducting order parameters.We show possibility stabilization mixed state, all three nonzero parameters, model nearest neighbor interactions.The other result is application exact solution Schrödinger equation for two--electron bound as an additional phase resulting partial suppression s-wave symmetry,...
Abstract The properties of the bound states on a lattice is an interesting problem related to superconductivity and Bose–Einstein condensation in given model. By means exact solution Schrödinger equation pairs frustrated, triangular are examined within extended Hubbard Dispersion curves mobilities calculated for both positive negative sign hopping integral. possibility increasing mobility with intersite Coulomb interaction found. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
The relevance of zero-energy functions, coming from modes and present in the structure bosonic Green's is often underestimated. Usually, their values are fixed by assuming ergodicity dynamics, but it can be shown that this not always correct. As functions connected to fundamental response properties system under analysis (specific heat, compressibility, susceptibility, etc.), correct determination an irrelevant issue. In paper we some results regarding for Heisenberg chain spin-1/2 with...
This article explores the subject of Paschal Triduum, which has been at centre liturgical celebration passion, death and resurrection Jesus Christ since first centuries Church. The author examines Liber officialis, work medieval liturgist Amalarius Metz, to show rites used in liturgy during most important days for Christians half ninth century. paper analyses described officialis customs Metz provides rich interpretation justification. this study shows theological, symbolic spiritual sense...
Abstract The paper shows how the known, exact results for two electron bound states can modify ground state phase diagram of extended Hubbard model (EHM) on‐site attraction, intersite repulsion and arbitrary density. main result is suppression superconducting in favor normal small charge densities. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
The critical values for pairing of s * -and d-wave symmetry are calculated within the t-U -J-V and t-J-V models in renormalized mean field theory.It is shown that first model yields proper low density limit while other does not.Renormalized theory strongly decreases absolute value (negative) larger electron densities.
We examine extended bound states in a dilute limit of the Hubbard model on two-dimensional square lattice.By solving exactly two-body problem we have determined binding energies, mobilities, and dispersion curves across Brillouin zone for various symmetries.It turns out that d-wave pairing is strongly favored by nnn hopping intersite local pairs can small effective masses, even case strong binding.We also found possibility S-d2-2 mixing states.
Eective masses m * of bound 2-electron pairs on a simple cubic lattice were investigated within tUWJ model symmetry channels.Linear increase with |W | for intersite and nonlinear behavior sign change in case on-site component found.|m turned out to be larger than twice free electron mass.
Resonant two-electron states are examined in attractive Hubbard model on simple cubic lattice and exact formula for scattering cross section the limit of low density (empty lattice) is calculated.S-wave pair considered by means Green functions (LGF).Analytical form these found Joyce used facilitating calculations, which were greatly hindered before necessity using LGF's tabulated values.It that actual peak cross-section formed lower band boundary discrepancy with formulae theory solids.
The paper shows a way to find two-particle lattice Green functions (LGF) on any site of two-dimensional, rectangular with hopping nearest- and next-nearest neighbors. Exact, analytical formulas using elliptic integrals for the on-site—G 0,0, nearest neighbor—G 0,1 G 1,0 1,1 LGF's are shown. Difference equation general m,n is given together five kind recurrence relations among their derivatives. A assembling into closed sets equations, enabling n,m (requiring knowledge parameters) described....
The aim of the article is to analyze theWeimar Triangle’s influence on European security, focusing Polish-German and French-German relations, as they play a key role in forming geostrategic geopolitical structure context. way which Union’s member states cooperated with Poland symbol reconciliation for those three great nations. objective this initiative was transform an area bygone fierce wars into pillar continent’s security. According author, Triangle may serve perfect example how...
The analytic formula for the on-site Green function on two-dimensional rectangular lattice is shown arbitrary energy, both within band (complex function) and outside (real function), expressed by means of elliptic integrals.The recursion formulae enabling calculation functions other sites are shown.
The t-U -J-V model in the U → ∞ limit is treated by renormalized mean-field theory for arbitrary electron density.Superconductivity of s + id symmetry found large parts phase diagram.Calculations also show a possibility separation.
We examine extended bound states in the dilute limit of Hubbard model with next-nearest-neighbour (nnn) hopping and nnn interactions on two dimensional square lattice. By exact solution a two-body problem we show that d-wave pairing is strongly favored by hopping. determine binding energies, mobilities dispersion curves across Brillouin zone (B.z.) for various symmetries. The numerical analysis shows deep can exist whole B.z. have also found s*-d mixing states.
Two electrons on a lattice pose an interesting problem which can be solved exactly.When the effective interactions are strong enough, bound states formed.The properties of such pairs in extended Hubbard model examined for both signs nearest neighbor hopping integral t.The stabilization s * -wave pairing is found t < 0 and f > 0. Phase diagrams existence none, one or two solutions calculated.
The properties of resonant two-electron pairs are examined in three-dimensional simple cubic extended Hubbard tUW model, sand dsymmetry channels, the limit empty lattice.Lattice Green function technique is applied to calculate scattering amplitude by means T matrix for any energy band on Γ R line within Brillouin zone.The analysis shows persistence states even Coulomb interactions so weak that equation not formally fullled.The dierence behavior resonances controlled on-site and intersite...
A primary goal of modern cancer research is to characterize tumour growth and evolution, improve clinical forecasting individualized treatment. Agent-based models support this endeavour but existing either oversimplify spatial structure or are mathematically intractable. Here we present warlock, an open-source automated computational workflow for fast, efficient simulation intratumour population genetics in any a diverse set structures. Warlock encapsulates deme-based oncology model (demon),...
Properties of two-particle bound states (BS) in the attractive Hubbard model a system two dimensional (2d) stripes consisting N strings and 3d stacks N-element 2d layers with periodic boundary conditions are analyzed. In empty lattice limit exact results obtained by means Green functions (LGF). It is found that LGFs evolve increasing number or averaging LGF’s copies shifted energy what weakens van Hove singularities. shown for any finite there no attraction threshold creation BS at lower...
The paper shows the importance of retaining Hartree and Fock terms, appearing after mean-eld decoupling, in treatment charge ordered phase tW model, with implications to extended Hubbard model.