Quantum Hall states in higher Landau levels

Autor: Jakob Yngvason

Publikováno v: Reference Module in Materials Science and Materials Engineering ISBN: 9780128035818

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3b37f99e064df7fe692abe626191b32a
https://doi.org/10.1016/b978-0-323-90800-9.00062-7

Emergence of Haldane pseudo-potentials in systems with short-range interactions

Autor: Jakob Yngvason, Robert Seiringer

Publikováno v: Journal of Statistical Physics

In the setting of the fractional quantum Hall effect we study the effects of strong, repulsive two-body interaction potentials of short range. We prove that Haldane's pseudo-potential operators, including their pre-factors, emerge as mathematically r

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aba8a0b79b9f72dcb2f62ef758a3a5bb

Rigidity of the Laughlin liquid

Autor: Elliott H. Lieb, Jakob Yngvason, Nicolas Rougerie

Publikováno v: Journal of Statistical Physics
Journal of Statistical Physics, Springer Verlag, 2018
Revised version, to appear in Journal of Statistical Physics. 2017
Journal of Statistical Physics, 2018

We consider general N-particle wave functions that have the form of a product of the Laughlin state with filling factor $1/\ell$ and an analytic function of the N variables. This is the most general form of a wave function that can arise through a pe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::622aebd0a99b029c7d2ca00111ed6c53
https://hal.archives-ouvertes.fr/hal-01364206

Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature

Autor: Andreas Deuchert, Robert Seiringer, Jakob Yngvason

Publikováno v: Communications in Mathematical Physics

We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross-Pitaevskii (GP) limit where the trap frequency $\omega$, the temperature $T$

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3f208032916a682afa76e432edaf349a
https://phaidra.univie.ac.at/o:956893

The Laughlin liquid in an external potential

Autor: Nicolas Rougerie, Jakob Yngvason

Publikováno v: Letters in Mathematical Physics
Letters in Mathematical Physics, Springer Verlag, 2018

We study natural perturbations of the Laughlin state arising from the effects of trapping and disorder. These are N-particle wave functions that have the form of a product of Laughlin states and analytic functions of the N variables. We derive an upp

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6186894df4444f3bf85ab37e5c17009d
http://arxiv.org/abs/1707.05059