Can Quantum Lattice Fluctuations Destroy the Peierls Broken Symmetry Ground State?
The study of bond alternation in one-dimensional electronic systems has had a long history. Theoretical work in the 1930s predicted the absence of bond alternation in the limit of infinitely long conjugated polymers; a result later contradicted by experimental investigations. When this issue was re-...
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| Format: | Journal article |
| Language: | English |
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2005
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| _version_ | 1797059772066824192 |
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| author | Barford, W Bursill, R |
| author_facet | Barford, W Bursill, R |
| author_sort | Barford, W |
| collection | OXFORD |
| description | The study of bond alternation in one-dimensional electronic systems has had a long history. Theoretical work in the 1930s predicted the absence of bond alternation in the limit of infinitely long conjugated polymers; a result later contradicted by experimental investigations. When this issue was re-examined in the 1950s it was shown in the adiabatic limit that bond alternation occurs for any value of electron-phonon coupling. The question of whether this conclusion remains valid for quantized nuclear degrees of freedom was first addressed in the 1980s. Since then a series of numerical calculations on models with gapped, dispersionless phonons have suggested that bond alternation is destroyed by quantum fluctuations below a critical value of electron-phonon coupling. In this work we study a more realistic model with gapless, dispersive phonons. By solving this model with the DMRG method we show that bond alternation remains robust for any value of electron-phonon coupling. |
| first_indexed | 2024-03-06T20:08:59Z |
| format | Journal article |
| id | oxford-uuid:29e90708-203d-4bfb-8b7c-fc1405d49a38 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:08:59Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:29e90708-203d-4bfb-8b7c-fc1405d49a382022-03-26T12:21:50ZCan Quantum Lattice Fluctuations Destroy the Peierls Broken Symmetry Ground State?Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:29e90708-203d-4bfb-8b7c-fc1405d49a38EnglishSymplectic Elements at Oxford2005Barford, WBursill, RThe study of bond alternation in one-dimensional electronic systems has had a long history. Theoretical work in the 1930s predicted the absence of bond alternation in the limit of infinitely long conjugated polymers; a result later contradicted by experimental investigations. When this issue was re-examined in the 1950s it was shown in the adiabatic limit that bond alternation occurs for any value of electron-phonon coupling. The question of whether this conclusion remains valid for quantized nuclear degrees of freedom was first addressed in the 1980s. Since then a series of numerical calculations on models with gapped, dispersionless phonons have suggested that bond alternation is destroyed by quantum fluctuations below a critical value of electron-phonon coupling. In this work we study a more realistic model with gapless, dispersive phonons. By solving this model with the DMRG method we show that bond alternation remains robust for any value of electron-phonon coupling. |
| spellingShingle | Barford, W Bursill, R Can Quantum Lattice Fluctuations Destroy the Peierls Broken Symmetry Ground State? |
| title | Can Quantum Lattice Fluctuations Destroy the Peierls Broken Symmetry
Ground State? |
| title_full | Can Quantum Lattice Fluctuations Destroy the Peierls Broken Symmetry
Ground State? |
| title_fullStr | Can Quantum Lattice Fluctuations Destroy the Peierls Broken Symmetry
Ground State? |
| title_full_unstemmed | Can Quantum Lattice Fluctuations Destroy the Peierls Broken Symmetry
Ground State? |
| title_short | Can Quantum Lattice Fluctuations Destroy the Peierls Broken Symmetry
Ground State? |
| title_sort | can quantum lattice fluctuations destroy the peierls broken symmetry ground state |
| work_keys_str_mv | AT barfordw canquantumlatticefluctuationsdestroythepeierlsbrokensymmetrygroundstate AT bursillr canquantumlatticefluctuationsdestroythepeierlsbrokensymmetrygroundstate |