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Two-Dimensional Spin-Polarized Hydrogen at Zero Temperature

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Abstract

The ground-state properties of spin polarized hydrogen H↓ in two dimensions (2D) are obtained by means of diffusion Monte Carlo calculations. Using the most accurate to date ab initio H↓–H↓ interatomic potential we have studied hydrogen gas phase, from the very dilute regime until densities above its freezing point. For very low densities, the equation of state of the gas can be described in terms of the gas parameter na 2, where a is the s-wave scattering length in 2D. The solid phase in 2D has also been studied up to high pressures and the gas-solid phase transition determined using the double-tangent Maxwell construction.

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Acknowledgements

The authors acknowledge partial financial support from MSES under Grant No. 177-1770508-0493, DGI (Spain) Grant No. FIS2011-25275 and Generalitat de Catalunya Grant No. 2009SGR-1003. We also acknowledge the support of the Central Computing Services at the Johannes Kepler University in Linz, where some of the computations were performed.

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Authors and Affiliations

  1. Faculty of Science, University of Split, Split, 21000, Croatia

    L. Vranješ Markić

  2. Institut für Theoretische Physik, Johannes Kepler Universität, 4040, Linz, Austria

    L. Vranješ Markić

  3. Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, 08034, Barcelona, Spain

    J. Boronat

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  1. L. Vranješ Markić
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  2. J. Boronat
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Correspondence to L. Vranješ Markić.

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Vranješ Markić, L., Boronat, J. Two-Dimensional Spin-Polarized Hydrogen at Zero Temperature. J Low Temp Phys 171, 685–692 (2013). https://doi.org/10.1007/s10909-012-0756-7

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