In this article we provide a review of geometrical methods employed in the analysis of
quantum phase transitions and non-equilibrium dissipative phase transitions. After a …

The Hubbard and Su-Schrieffer-Heeger (SSH) Hamiltonians are iconic models for
understanding the qualitative effects of electron-electron and electron-phonon interactions …

Over the past several years, a new generation of quantum simulations has greatly expanded
our understanding of charge density wave phase transitions in Hamiltonians with coupling …

We analyze the quantum phase diagram of the Holstein-Hubbard model using an
asymptotically exact strong coupling expansion. We find all sorts of interesting phases …

The Su-Schrieffer-Heeger (SSH) model, with bond phonons modulating electron tunneling,
is a paradigmatic electron-phonon model that hosts an antiferromagnetic order to bond …

The effect of electron-electron interactions on Dirac fermions, and the possibility of an
intervening spin-liquid phase between the semimetal and antiferromagnetic (AF) regimes …

The spontaneous generation of charge-density-wave order in a Dirac fermion system via the
natural mechanism of electron-phonon coupling is studied in the framework of the Holstein …

The electron–electron and electron–phonon interactions play an important role in correlated
materials, being key features for spin, charge and pair correlations. Thus, here we …

Resolving the complete electron scattering dynamics mediated by coherent phonons is
crucial for understanding electron-phonon couplings beyond equilibrium. Here we present a …

The Holstein Hamiltonian describes fermions hopping on a lattice and interacting locally
with dispersionless phonon degrees of freedom. In the low-density limit, dressed …