Peierls transition in the quantum spin-Peierls model
We use the density matrix renormalization group method to investigate the role of longitudinal quantized phonons on the Peierls transition in the spin-Peierls model. For both the XY and Heisenberg spin-Peierls model we show that the staggered phonon order parameter scales as $\sqrt{\lambda}$ (and th...
| Main Authors: | , |
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| 格式: | Journal article |
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2005
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| _version_ | 1826303984449617920 |
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| author | Barford, W Bursill, R |
| author_facet | Barford, W Bursill, R |
| author_sort | Barford, W |
| collection | OXFORD |
| description | We use the density matrix renormalization group method to investigate the role of longitudinal quantized phonons on the Peierls transition in the spin-Peierls model. For both the XY and Heisenberg spin-Peierls model we show that the staggered phonon order parameter scales as $\sqrt{\lambda}$ (and the dimerized bond order scales as $\lambda$) as $\lambda \to 0$ (where $\lambda$ is the electron-phonon interaction). This result is true for both linear and cyclic chains. Thus, we conclude that the Peierls transition occurs at $\lambda=0$ in these models. Moreover, for the XY spin-Peierls model we show that the quantum predictions for the bond order follow the classical prediction as a function of inverse chain size for small $\lambda$. We therefore conclude that the zero $\lambda$ phase transition is of the mean-field type. |
| first_indexed | 2024-03-07T06:10:59Z |
| format | Journal article |
| id | oxford-uuid:ef7a37a2-752d-44bb-bc4f-986725e8f5f1 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:10:59Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:ef7a37a2-752d-44bb-bc4f-986725e8f5f12022-03-27T11:40:30ZPeierls transition in the quantum spin-Peierls modelJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ef7a37a2-752d-44bb-bc4f-986725e8f5f1Symplectic Elements at Oxford2005Barford, WBursill, RWe use the density matrix renormalization group method to investigate the role of longitudinal quantized phonons on the Peierls transition in the spin-Peierls model. For both the XY and Heisenberg spin-Peierls model we show that the staggered phonon order parameter scales as $\sqrt{\lambda}$ (and the dimerized bond order scales as $\lambda$) as $\lambda \to 0$ (where $\lambda$ is the electron-phonon interaction). This result is true for both linear and cyclic chains. Thus, we conclude that the Peierls transition occurs at $\lambda=0$ in these models. Moreover, for the XY spin-Peierls model we show that the quantum predictions for the bond order follow the classical prediction as a function of inverse chain size for small $\lambda$. We therefore conclude that the zero $\lambda$ phase transition is of the mean-field type. |
| spellingShingle | Barford, W Bursill, R Peierls transition in the quantum spin-Peierls model |
| title | Peierls transition in the quantum spin-Peierls model |
| title_full | Peierls transition in the quantum spin-Peierls model |
| title_fullStr | Peierls transition in the quantum spin-Peierls model |
| title_full_unstemmed | Peierls transition in the quantum spin-Peierls model |
| title_short | Peierls transition in the quantum spin-Peierls model |
| title_sort | peierls transition in the quantum spin peierls model |
| work_keys_str_mv | AT barfordw peierlstransitioninthequantumspinpeierlsmodel AT bursillr peierlstransitioninthequantumspinpeierlsmodel |