Thermodynamics of a continuum Su–Schrieffer–Heeger model

M. Rateitzak, Thorsten Koslowski

K. A. González, S. Bravo, L. Rosales +1 more

In this work, we investigate the electronic, topological, and transport properties of a Creutz-Su-Schrieffer-Heeger (CSSH) ladder. Using a tight-binding model within the Green's function formalism, we calculate the energy spectrum, local density of states (LDOS), and electronic transmission. We first determine the energy spectrum of the CSSH ladder and analyze the different topological phases present in the system, identifying one trivial phase and three distinct nontrivial regions. We then study electronic transport and show that the transmission reproduces the different topological phases through characteristic transport signatures. Finally, we derive the conditions for the emergence of non-topological flat bands and demonstrate that these bands also provide the necessary conditions for the formation of bound states in the continuum (BICs). Our results establish a direct connection between the topological properties, flat-band formation, and electronic transport in the CSSH ladder.

Sebastian Deffner, Steve Campbell

Christopher Mudry, Claudio Chamon

Chapter 2 is a gentle introduction to the many-body physics of polyacetylene. Band theory for electrons hopping along a one-dimensional lattice is explained. The continuum limit is taken. An example of a quantum critical point with its emergent symmetries is given. The Su–Schrieffer–Heeger (SSH) model for polyacetylene is defined and solved at the mean-field level.

R. Ruckh, E. Sigmund

Abstract Stationary polaron solutions are derived for the discrete version of the Su‐Schrieffer‐Heeger (SSH) model in two different ways. First Holstein's large polaron theory is applied. Second, the polaron solution is derived from Heisenberg's equations of motion. It turns out that the results obtained from the continuum version of the SSH Hamiltonian are different from those obtained from Holstein's molecular crystal model (MCM).

Felix C. Binder, Luis Alfonso Correa, Christian Gogolin +2 more