Quantum phase transition properties of the Heisenberg antiferromagnet with single-ion anisotropy using 2d/3d isotropic and DTN parameters.
A brief introduction to the physics of the QPT for our Hamiltonian is presented together with the tools required to analyze the QPT. The SSE QMC method is outlined together with specific implementation details for running on a supercomputer. We obtain the critical values of D at zero magnetic field...
محفوظ في:
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| التنسيق: | Final Year Project |
| اللغة: | English |
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2011
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| الوصول للمادة أونلاين: | http://hdl.handle.net/10356/46430 |
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sg-ntu-dr.10356-464302023-02-28T23:16:05Z Quantum phase transition properties of the Heisenberg antiferromagnet with single-ion anisotropy using 2d/3d isotropic and DTN parameters. Yap, Ian Ching Loong. School of Physical and Mathematical Sciences Sengupta Pinaki DRNTU::Science::Physics A brief introduction to the physics of the QPT for our Hamiltonian is presented together with the tools required to analyze the QPT. The SSE QMC method is outlined together with specific implementation details for running on a supercomputer. We obtain the critical values of D at zero magnetic field using parameters for the 2d/3d isotropic and the organic compound DTN and obtain the ground-state hz − D phase diagram for the isotropic lattices. Results suggest that using d and z in the finite-size scaling relations for spin stiffness at and above the upper critical dimension give a good (if not correct) value of Dc but MFT exponents may not characterize the transition. Bachelor of Science in Applied Physics 2011-12-06T02:14:57Z 2011-12-06T02:14:57Z 2011 2011 Final Year Project (FYP) http://hdl.handle.net/10356/46430 en 69 p. application/pdf |
| institution |
Nanyang Technological University |
| building |
NTU Library |
| continent |
Asia |
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Singapore Singapore |
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NTU Library |
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DR-NTU |
| language |
English |
| topic |
DRNTU::Science::Physics |
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DRNTU::Science::Physics Yap, Ian Ching Loong. Quantum phase transition properties of the Heisenberg antiferromagnet with single-ion anisotropy using 2d/3d isotropic and DTN parameters. |
| description |
A brief introduction to the physics of the QPT for our Hamiltonian is presented together with the tools required to analyze the QPT. The SSE QMC method is outlined together with specific implementation details for running on a supercomputer. We obtain the critical values of D at zero magnetic field using parameters for the 2d/3d isotropic and the organic compound DTN and obtain the ground-state hz − D phase diagram for the isotropic lattices. Results suggest that using d and z in the finite-size scaling relations for spin stiffness at and above the upper critical dimension give a good (if not correct) value of Dc but MFT exponents may not characterize the transition. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Yap, Ian Ching Loong. |
| format |
Final Year Project |
| author |
Yap, Ian Ching Loong. |
| author_sort |
Yap, Ian Ching Loong. |
| title |
Quantum phase transition properties of the Heisenberg antiferromagnet with single-ion anisotropy using 2d/3d isotropic and DTN parameters. |
| title_short |
Quantum phase transition properties of the Heisenberg antiferromagnet with single-ion anisotropy using 2d/3d isotropic and DTN parameters. |
| title_full |
Quantum phase transition properties of the Heisenberg antiferromagnet with single-ion anisotropy using 2d/3d isotropic and DTN parameters. |
| title_fullStr |
Quantum phase transition properties of the Heisenberg antiferromagnet with single-ion anisotropy using 2d/3d isotropic and DTN parameters. |
| title_full_unstemmed |
Quantum phase transition properties of the Heisenberg antiferromagnet with single-ion anisotropy using 2d/3d isotropic and DTN parameters. |
| title_sort |
quantum phase transition properties of the heisenberg antiferromagnet with single-ion anisotropy using 2d/3d isotropic and dtn parameters. |
| publishDate |
2011 |
| url |
http://hdl.handle.net/10356/46430 |
| _version_ |
1759856355315810304 |