Quantum disorder in the two-dimensional pyrochlore Heisenberg antiferromagnet
We present the results of an exact diagonalization study of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional version of the pyrochlore lattice, also known as the square lattice with crossings or the checkerboard lattice. Examining the low energy spectra for systems of up to 24 spins, we...
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| Format: | Journal article |
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2001
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| _version_ | 1797090800963682304 |
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| author | Palmer, SE Chalker, J |
| author_facet | Palmer, SE Chalker, J |
| author_sort | Palmer, SE |
| collection | OXFORD |
| description | We present the results of an exact diagonalization study of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional version of the pyrochlore lattice, also known as the square lattice with crossings or the checkerboard lattice. Examining the low energy spectra for systems of up to 24 spins, we find that all clusters studied have non-degenerate ground states with total spin zero, and big energy gaps to states with higher total spin. We also find a large number of non-magnetic excitations at energies within this spin gap. Spin-spin and spin-Peierls correlation functions appear to be short-ranged, and we suggest that the ground state is a spin liquid. |
| first_indexed | 2024-03-07T03:23:56Z |
| format | Journal article |
| id | oxford-uuid:b860ccf3-a9ef-4c8c-888c-bed3da5388a6 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:23:56Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:b860ccf3-a9ef-4c8c-888c-bed3da5388a62022-03-27T04:55:30ZQuantum disorder in the two-dimensional pyrochlore Heisenberg antiferromagnetJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b860ccf3-a9ef-4c8c-888c-bed3da5388a6Symplectic Elements at Oxford2001Palmer, SEChalker, JWe present the results of an exact diagonalization study of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional version of the pyrochlore lattice, also known as the square lattice with crossings or the checkerboard lattice. Examining the low energy spectra for systems of up to 24 spins, we find that all clusters studied have non-degenerate ground states with total spin zero, and big energy gaps to states with higher total spin. We also find a large number of non-magnetic excitations at energies within this spin gap. Spin-spin and spin-Peierls correlation functions appear to be short-ranged, and we suggest that the ground state is a spin liquid. |
| spellingShingle | Palmer, SE Chalker, J Quantum disorder in the two-dimensional pyrochlore Heisenberg antiferromagnet |
| title | Quantum disorder in the two-dimensional pyrochlore Heisenberg
antiferromagnet |
| title_full | Quantum disorder in the two-dimensional pyrochlore Heisenberg
antiferromagnet |
| title_fullStr | Quantum disorder in the two-dimensional pyrochlore Heisenberg
antiferromagnet |
| title_full_unstemmed | Quantum disorder in the two-dimensional pyrochlore Heisenberg
antiferromagnet |
| title_short | Quantum disorder in the two-dimensional pyrochlore Heisenberg
antiferromagnet |
| title_sort | quantum disorder in the two dimensional pyrochlore heisenberg antiferromagnet |
| work_keys_str_mv | AT palmerse quantumdisorderinthetwodimensionalpyrochloreheisenbergantiferromagnet AT chalkerj quantumdisorderinthetwodimensionalpyrochloreheisenbergantiferromagnet |