Can Quantum Lattice Fluctuations Destroy the Peierls Broken Symmetry Ground State?

Abstract

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.

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• Excited states of linear polyenes
• Peierls transition in the presence of finite-frequency phonons in the one-dimensional extended Peierls-Hubbard model at half-filling
• Spin-Phonon Chains with Bond Coupling
• Quantum mechanics on Riemannian Manifold in Schwinger's Quantization Approach I
• Peierls transition in the quantum spin-Peierls model

Cited by in corpus (9)

• Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model
• Charge-density-wave melting in the one-dimensional Holstein model
• Excitation spectra and correlation functions of quantum Su-Schrieffer-Heeger models
• Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions
• Density waves in strongly correlated quantum chains
• Interplay of Site and Bond Electron-Phonon Coupling in One Dimension
• Quantized Lattice Dynamic Effects on the Peierls transition of the Extended Hubbard Model
• Attractive Su-Schrieffer-Heeger-Hubbard Model on a Square Lattice Away from Half-Filling
• Quantized Lattice Dynamic Effects on the Spin-Peierls Transition