Order and supersymmetry at high filling zero-energy states on the triangular lattice
We perform exact-diagonalization studies in d=2 dimensions for the Fendley and Schoutens model of hard-core and nearest-neighbor-excluding fermions that displays an exact nonrelativistic supersymmetry. Using clusters of all possible shapes up to 46 sites, we systematically study the behavior of the...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Online Access: | https://hdl.handle.net/10356/95393 http://hdl.handle.net/10220/9337 |
| _version_ | 1811690550982606848 |
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| author | Galanakis, Dimitrios. Papanikolaou, S. Henley, Christopher L. |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Galanakis, Dimitrios. Papanikolaou, S. Henley, Christopher L. |
| author_sort | Galanakis, Dimitrios. |
| collection | NTU |
| description | We perform exact-diagonalization studies in d=2 dimensions for the Fendley and Schoutens model of hard-core and nearest-neighbor-excluding fermions that displays an exact nonrelativistic supersymmetry. Using clusters of all possible shapes up to 46 sites, we systematically study the behavior of the ground-state phase diagram as a function of filling. We focus on the highly degenerate zero-energy states found at fillings between 1/7 and ∼1/5. At the lower end of that interval, at filling 1/7, we explicitly show that the ground states are gapped crystals. Consistent with previous suggestions, we find that the extensive entropy of zero states peaks at a filling of ∼0.178. At the higher end of the interval, we find zero-energy ground states at fillings above 1/5, contrary to previous expectations, which display nontrivial amplitude degeneracies. |
| first_indexed | 2024-10-01T06:05:47Z |
| format | Journal Article |
| id | ntu-10356/95393 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:05:47Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/953932023-02-28T19:35:49Z Order and supersymmetry at high filling zero-energy states on the triangular lattice Galanakis, Dimitrios. Papanikolaou, S. Henley, Christopher L. School of Physical and Mathematical Sciences DRNTU::Science::Chemistry::Physical chemistry We perform exact-diagonalization studies in d=2 dimensions for the Fendley and Schoutens model of hard-core and nearest-neighbor-excluding fermions that displays an exact nonrelativistic supersymmetry. Using clusters of all possible shapes up to 46 sites, we systematically study the behavior of the ground-state phase diagram as a function of filling. We focus on the highly degenerate zero-energy states found at fillings between 1/7 and ∼1/5. At the lower end of that interval, at filling 1/7, we explicitly show that the ground states are gapped crystals. Consistent with previous suggestions, we find that the extensive entropy of zero states peaks at a filling of ∼0.178. At the higher end of the interval, we find zero-energy ground states at fillings above 1/5, contrary to previous expectations, which display nontrivial amplitude degeneracies. Published version 2013-03-05T03:38:01Z 2019-12-06T19:13:59Z 2013-03-05T03:38:01Z 2019-12-06T19:13:59Z 2012 2012 Journal Article Galanakis, D., Henley, C. L., & Papanikolaou, S. (2012). Order and supersymmetry at high filling zero-energy states on the triangular lattice. Physical Review B, 86(19), 195105-. https://hdl.handle.net/10356/95393 http://hdl.handle.net/10220/9337 10.1103/PhysRevB.86.195105 en Physical review B © 2012 American Physical Society. This paper was published in Physical Review B and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: [http://dx.doi.org/10.1103/PhysRevB.86.195105]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. application/pdf |
| spellingShingle | DRNTU::Science::Chemistry::Physical chemistry Galanakis, Dimitrios. Papanikolaou, S. Henley, Christopher L. Order and supersymmetry at high filling zero-energy states on the triangular lattice |
| title | Order and supersymmetry at high filling zero-energy states on the triangular lattice |
| title_full | Order and supersymmetry at high filling zero-energy states on the triangular lattice |
| title_fullStr | Order and supersymmetry at high filling zero-energy states on the triangular lattice |
| title_full_unstemmed | Order and supersymmetry at high filling zero-energy states on the triangular lattice |
| title_short | Order and supersymmetry at high filling zero-energy states on the triangular lattice |
| title_sort | order and supersymmetry at high filling zero energy states on the triangular lattice |
| topic | DRNTU::Science::Chemistry::Physical chemistry |
| url | https://hdl.handle.net/10356/95393 http://hdl.handle.net/10220/9337 |
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