Journal
PHYSICAL REVIEW LETTERS
Volume 105, Issue 26, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.105.266605
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Funding
- NSF [PHY-1005543]
- MEXT [19048008, 19048015, 21244053]
- RFBR [10-02-00047a]
- University of Napoli Federico II FARO [CUP-E61J10000000003]
- NSERC
- CIFAR
- FQRNT
- PITP
- Division Of Physics
- Direct For Mathematical & Physical Scien [1005543] Funding Source: National Science Foundation
- Grants-in-Aid for Scientific Research [21244053] Funding Source: KAKEN
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We study a single polaron in the Su-Schrieffer-Heeger (SSH) model using four different techniques (three numerical and one analytical). Polarons show a smooth crossover from weak to strong coupling, as a function of the electron-phonon coupling strength lambda, in all models where this coupling depends only on phonon momentum q. In the SSH model the coupling also depends on the electron momentum k; we find it has a sharp transition, at a critical coupling strength lambda(c), between states with zero and nonzero momentum of the ground state. All other properties of the polaron are also singular at lambda = lambda(c). This result is representative of all polarons with coupling depending on k and q, and will have important experimental consequences (e. g., in angle-resolved photoemission spectroscopy and conductivity experiments).
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