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• W151505485 abstract "Az utobbi evtizedekben a szilardtest-fizikai kutatasok homlokterebe kerult a magneses vagy elektromos tulajdonsagok szempontjabol egy- vagy ketdimenziosnak tekinthető anyagok tanulmanyozasa. A palyazat soran ilyen rendszereket, azok fizikai tulajdonsagait vizsgaltuk analitikus es numerikus modszerekkel, illetve nagy erőfeszitest tettunk a jelenleg leghatekonyabbnak tűnő numerikus modszer, a sűrűsegmatrixot alkalmazo renormalasicsoport-modszer algoritmikus fejlesztesere a kvantuminformacio-elmelet eszkoztaranak felhasznalasaval, es lehetőve tettuk szennyezők szerepenek vizsgalatara. A terveknek es a palyazat cimenek megfelelően kulonboző modellek, peldaul spinletrak, altalanositott Hubbard-modellek, SU(n) szimmetriaju modellek fazisdiagramjat es a kvantumos fazisatalakulasok jelleget hataroztuk meg. A magas spinű rendszerekben ujfajta, egzotikus szuperfolyekony fazisok megjelenesere mutattunk ra magnesesen polarizacio jelenleteben, es javaslatot tettunk annak kiserleti megfigyelhetősegere ultrahideg atomok rendszereben. A vezetesi elektronok kozotti korrelaciokat is tartalmazo periodikus Anderson-Hubbard-modell eseten a Hubbard-fizika (Mott-atalakulas) es a Kondo-fizika (nehezfermionos viselkedes) versengeseben hataroztuk meg a kolcsonhatasok szerepet. A Bethe-feltevessel egzaktul megoldhato rendszerekre analitikusan levezettuk a szabadenergiahoz adodo vezető korrekciokat. | The physics of low-dimensional magnetic and fermionic systems is in the forefront of research in solid state physics. During the course of this project, we studied the physical properties of such systems both analytically and numerically, investing a lot of effort in the algorithmic development of the density-matrix renormalization-group (DMRG) method, using the concepts of quantum information theory. This allowed us, by combining DMRG with Wilson's numerical RG procedure, to extend the method to impurity problems. Following our research plan, we determined the phase diagram of various models, such as spin ladders, generalized Hubbard models and SU(n) symmetric models, and studied the quantum phase transitions in these systems. We have pointed out the possibility of exotic superfluid phases in magnetically polarized high-spin systems, and proposed experiments for their observation in ultracold atomic gases. We have studied the competition of Hubbard physics (Mott transition) and Kondo physics (heavy-fermion behavior) in extended periodic Anderson-Hubbard models, where correlations between conduction electrons and the interaction between conduction and localized electrons are taken into account. We have also determined the leading corrections to the free energy of exactly integrable systems." @default.
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• W151505485 date "2012-01-01" @default.
• W151505485 modified "2023-09-27" @default.
• W151505485 title "Kvantumos fázisátalakulások alacsony dimenziós mágneses és fermionrendszerekben = Quantum phase transitions in low-dimensional magnetic and fermionic systems" @default.
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