# 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}
}
• Published 14 May 2019
• Physics
• Physical Review Research
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

## Figures from this paper

### 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 Science
Physical 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

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

• Physics
npj 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

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.

• Physics
Physical 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

• Physics
Physical 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

• Physics
Journal 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 

## References

SHOWING 1-10 OF 143 REFERENCES

### Excitation spectra and correlation functions of quantum Su-Schrieffer-Heeger models

• Physics
• 2015
We study one-dimensional Su-Schrieffer-Heeger (SSH) models with quantum phonons using a continuous-time quantum Monte Carlo method. Within statistical errors, we obtain identical results for the SSH

### Effective metal-insulator nonequilibrium quantum phase transition in the Su-Schrieffer-Heeger model

• Physics
Physical Review B
• 2018
We consider the steady state behavior of observables in the Su-Schrieffer-Heeger model and in the one dimensional transverse field quantum Ising model after a sudden quantum quench of the parameter

### QUANTUM LATTICE FLUCTUATIONS IN THE GROUND STATE OF AN XY SPIN-PEIERLS CHAIN

An analytical approach, based on the unitary transformation method, has been developed to study the effect of quantum lattice fluctuations on the ground state of an XY spin-Peierls chain, which is

### Finite-size effects in Luther-Emery phases of Holstein and Hubbard models

• Physics
• 2015
The one-dimensional Holstein model and its generalizations have been studied extensively to understand the effects of electron-phonon interaction. The half-filled case is of particular interest, as

### Transitions and crossover phenomena in fully frustrated XY systems

• Physics
• 2005
We study the two-dimensional fully frustrated XY (FFXY) model and two related models, a discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of the FFXY model and a

### Ground state phases of the half-filled one-dimensional extended hubbard model.

• Physics
Physical review letters
• 2004
Using quantum Monte Carlo simulations, results of a strong-coupling expansion, and Luttinger liquid theory, the ground state phase diagram of the one-dimensional extended Hubbard model with on-site and nearest-neighbor repulsions U and V is determined.

### Thermal and quantum lattice fluctuations in Peierls chains

• Physics
Physical Review B
• 2018
Thermodynamic and spectral properties of electrons coupled to quantum phonons are studied in the framework of the one-dimensional spinless Holstein model. Using quantum Monte Carlo simulations and an

### The spin-Peierls instability in a spin-? XY chain in the non-adiabatic limit

The spin-Peierls instability in a spin- XY chain coupled to dispersionless phonons of frequency has been studied in the non-adiabatic limit. We have chosen the Lang-Firsov variational wavefunction

### Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry.

• Physics
Physical review letters
• 2017
A model of Dirac fermions in 2+1 dimensions with dynamically generated, anticommuting SO(3) Néel and Z_{2} Kekulé mass terms that permits sign-free quantum Monte Carlo simulations is considered and provides a new framework to study exotic critical phenomena.

### Bond-order-wave phase and quantum phase transitions in the one-dimensional extended Hubbard model

• Physics
• 2001
We use a stochastic series-expansion quantum Monte Carlo method to study the phase diagram of the one-dimensional extended Hubbard model at half-filling for small to intermediate values of the