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 the di...
| Asıl Yazarlar: | , |
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| Materyal Türü: | Journal article |
| Dil: | English |
| Baskı/Yayın Bilgisi: |
2005
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| _version_ | 1826288388801560576 |
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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-->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 | 2024-03-07T02:12:56Z |
| format | Journal article |
| id | oxford-uuid:a1479b40-24db-404b-99be-2ff44b0c56fb |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:12:56Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:a1479b40-24db-404b-99be-2ff44b0c56fb2022-03-27T02:11:56ZPeierls transition in the quantum spin-Peierls model.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a1479b40-24db-404b-99be-2ff44b0c56fbEnglishSymplectic 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-->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 |