# Competing orders and unconventional criticality in the Su-Schrieffer-Heeger model

@article{Weber2020CompetingOA, title={Competing orders and unconventional criticality in the Su-Schrieffer-Heeger model}, author={Manuel Weber and Francesco Parisen Toldin and Martin Hohenadler}, journal={Physical Review Research}, year={2020} }

The phase diagram of the one-dimensional Su-Schrieffer-Heeger model of spinless fermions coupled to quantum phonons is determined by quantum Monte Carlo simulations. It differs significantly from previous work. In addition to Luttinger liquid and bond-order-wave (BOW) phases, we find an extended charge-density-wave (CDW) phase. Because of different broken symmetries, BOW and CDW phases are connected by a retardation-driven phase transition. Our results are consistent with the theory of the…

## 9 Citations

### Langevin dynamics simulations of the two-dimensional Su-Schrieffer-Heeger model

- Physics
- 2021

We use Langevin sampling methods within the auxiliary-field quantum Monte Carlo algorithm to investigate the phases of the Su-Schrieffer-Heeger model on the square lattice at the O(4) symmetric…

### Valence-bond solid to antiferromagnet transition in the two-dimensional Su-Schrieffer-Heeger model by Langevin dynamics

- Materials SciencePhysical Review B
- 2022

The two-dimensional Su-Schrieﬀer-Heeger model of electrons coupled to quantum phonons is investigated using Langevin dynamics within the framework of auxiliary-ﬁeld quantum Monte Carlo. Based on an…

### Valence bond order in a honeycomb antiferromagnet coupled to quantum phonons

- Physics
- 2021

We use exact quantum Monte Carlo simulations to demonstrate that the N\'eel ground state of an antiferromagnetic SU(2) spin-$\frac{1}{2}$ Heisenberg model on the honeycomb lattice can be destroyed by…

### Quantum Monte Carlo study of lattice polarons in the two-dimensional three-orbital Su–Schrieffer–Heeger model

- Physicsnpj Quantum Materials
- 2020

The electron–lattice interaction gives rise to a rich set of phenomena in quantum materials. Microscopically, this interaction often arises from the modulation of orbital overlaps; however, many…

### Quantum Monte Carlo simulation of spin-boson models using wormhole updates

- PhysicsPhysical Review B
- 2022

We present an exact quantum Monte Carlo method for spin systems coupled to dissipative bosonic baths which makes use of nonlocal wormhole updates to simulate the retarded spin-ﬂip interactions…

### Phases of the (2+1) Dimensional SO(5) Nonlinear Sigma Model with Topological Term.

- PhysicsPhysical review letters
- 2021

The half-filled zeroth Landau level in graphene is used as a regularization scheme to study the physics of the SO(5) nonlinear sigma model subject to a Wess-Zumino-Witten topological term in 2+1 dimensions and an ordered phase in the large U_{0} or stiff limit is observed.

### Topological domain wall states in a nonsymmorphic chiral chain

- Physics
- 2020

The Su-Schrieffer-Heeger (SSH) model, containing dimerized hopping and a constant onsite energy, has become a paradigmatic model for one-dimensional topological phases, soliton excitations, and…

### Polaron transformations in the realistic model of the strongly correlated electron system

- PhysicsPhysical Review B
- 2020

Electron-phonon coupling, diagonal in a real space formulation, leads to a polaron paradigm of smoothly varying properties. However, fundamental changes, namely the singular behavior of polarons,…

### The chiral Gross-Neveu model on the lattice via a Landau-forbidden phase transition

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We study the phase diagram of the (1 + 1)-dimensional Gross-Neveu model with both $$ {g}_x^2{\left(\overline{\psi}\psi \right)}^2 $$
g
x
2
ψ
¯
ψ
2
and $$…

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