Magnetic, charge, and bond order in the two-dimensional Su-Schrieffer-Heeger-Holstein model

Abstract

Most nonperturbative numerical studies of electron-phonon interactions focus on model Hamiltonians where the electrons interact with a phonon branch via a single type of microscopic mechanism. Two commonly explored couplings in this context are the Holstein and Su-Schrieffer-Heeger (SSH) interactions, which describe phonons modulating the on-site energy and intersite electron hopping, respectively. Many materials, however, have multiple phonon branches that can each interact with electronic degrees of freedom in different ways. We present here a determinant quantum Monte Carlo study of the half-filled two-dimensional (bond) SSH-Holstein Hamiltonian, where electrons couple to different phonon branches via either the Holstein or SSH mechanism. We map the model's phase diagram and determine the nature of the transitions between charge-density wave, bond order wave, and antiferromagnetic order.

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Cited by in corpus (3)

• Holstein polaron in a pseudospin-$1$ quantum spin Hall system: first and second order topological phase transitions
• Antiferromagnetic and bond-order-wave phases in the half-filled two-dimensional optical Su-Schrieffer-Heeger-Hubbard model
• Spectral signatures of residual electron pairing in the extended-Hubbard-Su-Schrieffer-Heeger model