Quantum phase transition properties of the Heisenberg antiferromagnet with single-ion anisotropy using 2d/3d isotropic and DTN parameters.

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...

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Main Author: Yap, Ian Ching Loong.
Other Authors: School of Physical and Mathematical Sciences
Format: Final Year Project
Language:English
Published: 2011
Subjects:
DRNTU::Science::Physics
Online Access:http://hdl.handle.net/10356/46430
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Institution: Nanyang Technological University
Language: English
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spelling 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
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Physics
spellingShingle 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

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