One dimensional H-1, H-2 and H-3
The ground-state properties of one-dimensional electron-spin-polarized hydrogen H-1, deuterium H-2, and tritium 3 Hare obtained by means of quantum Monte Carlo methods. The equations of state of the three isotopes are calculated for a wide range of linear densities. The pair correlation function and...
| Authors: | ; ; ; |
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| Format: | Article |
| Publication date: | 2016 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/88635 |
| Online Access: | https://hdl.handle.net/2117/88635 https://dx.doi.org/10.1088/1367-2630/18/5/055013 |
| Access Level: | Open access |
| Keyword: | Monte Carlo method Equations of state Luttinger liquids Hydrogen Bose-Einstein condensation quantum Monte Carlo methods equation of state Luttinger liquid hydrogen Tonks-Girardeau gas ground-state Anderson localization Impenetrable bosons gas system transport energy Montecarlo, Mètode de Equacions d'estat Hidrogen Condensació de Bose-Einstein Àrees temàtiques de la UPC::Física |
| Summary: | The ground-state properties of one-dimensional electron-spin-polarized hydrogen H-1, deuterium H-2, and tritium 3 Hare obtained by means of quantum Monte Carlo methods. The equations of state of the three isotopes are calculated for a wide range of linear densities. The pair correlation function and the static structure factor are obtained and interpreted within the framework of the Luttinger liquid theory. We report the density dependence of the Luttinger parameter and use it to identify different physical regimes: Bogoliubov Bose gas, super-Tonks-Girardeau gas, and quasi-crystal regimes for bosons; repulsive, attractive Fermi gas, and quasi-crystal regimes for fermions. We find that the tritium isotope is the one with the richest behavior. Our results show unambiguously the relevant role of the isotope mass in the properties of this quantum system. |
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