# Quantum narrowing effect in a spin-Peierls system with quantum lattice fluctuation

@article{Onishi2003QuantumNE, title={Quantum narrowing effect in a spin-Peierls system with quantum lattice fluctuation}, author={Hiroaki Onishi and Seiji Miyashita}, journal={Journal of the Physical Society of Japan}, year={2003}, volume={72}, pages={392-398} }

We investigate a one-dimensional S =1/2 antiferromagnetic Heisenberg model coupled to quantum lattice vibration using a quantum Monte Carlo method. We study the ground-state lattice fluctuation whe...

## 8 Citations

Quantum Phase Transition in Antiferromagnetic Heisenberg Chains Coupled to Phonons

- Physics
- 2011

We develop an analytical approach based on a unitary transformation to investigate S =1/2 antiferromagnetic Heisenberg chains coupled to phonons, and find a new quantum phase transition at zero…

Spontaneous distortion in the spin-1/2 Ising-Heisenberg model on decorated planar lattices with a magnetoelastic coupling

- Physics
- 2012

Abstract
Magnetoelastic properties of the spin-1/2 Ising-Heisenberg model on doubly decorated planar lattices partially amenable to lattice vibrations are examined within the framework of the…

Monte Carlo Study of Spin-Peierls Transition in Quasi-One-Dimensional Heisenberg Model with Finite-Frequency Phonons

- Physics
- 2012

A quasi-one-dimensional spin-1/2 Heisenberg antiferromagnet coupled with optical phonons is numerically studied by the quantum Monte Carlo method. We have implemented the stochastic series expansion…

Monte Carlo Method for Spin-Peierls Systems

- Physics
- 2014

The novel quantum Monte Carlo method for nonconserved particles will be presented in this chapter. The quantum Monte Carlo method based on the worldline representation has been applied to a wide…

Adiabatic-antiadiabatic crossover in a spin-Peierls chain

- Physics
- 2005

We consider an XXZ spin-1/2 chain coupled to optical phonons with nonzero frequency ω0. In the adiabatic limit (small ω0), the chain is expected to spontaneously dimerize and open a spin gap, while…

$$XXZ$$ X X Z Spin-Peierls Chain

- Physics
- 2014

The phase transition and the phase diagram between the adiabatic and antiadiabatic limits in the spin-Peierls model will be investigated in this chapter. As we explained in Chap. 3, the conventional…

Quantum diffusion in polaron model of poly(dG)-poly(dC) and poly(dA)-poly(dT) DNA polymers

- Physics
- 2007

Abstract.We numerically investigate quantum diffusion of an electron in a
model of poly(dG)-poly(dC) and poly(dA)-poly(dT) DNA
polymers with fluctuation of the parameters due to the impact of colored…

The loop algorithm

- Physics
- 2003

A review of the loop algorithm , its generalizations, and its relation to some other Monte Carlo techniques is given. The loop algorithm is a quantum Monte Carlo procedure that employs non-local…

## References

SHOWING 1-10 OF 22 REFERENCES

Temperature Dependence of Spin and Bond Ordering in a Spin-Peierls System

- Physics
- 2000

We investigate thermodynamic properties of a one-dimensional S =1/2 antiferromagnetic Heisenberg model coupled to a lattice distortion by a quantum Monte Carlo method. In particular we study how sp...

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

- Physics
- 1997

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…

Phase Diagram of a Heisenberg Spin-Peierls Model with Quantum Phonons

- Physics
- 1999

Using a new version of the density-matrix renormalization group we determine the phase diagram of a model of an antiferromagnetic Heisenberg spin chain where the spins interact with quantum phonons.…

World-line Monte Carlo study of the dispersion relation of an S=1 antiferromagnetic Heisenberg chain

- Physics
- 1994

A world-line quantum Monte Carlo method is employed to study the dispersion relation of an S =1 antiferromagnetic Heisenberg chain. An imaginary-time correlation function is evaluated on a…

Quantum lattice fluctuations in a frustrated Heisenberg spin-Peierls chain

- Physics
- 1999

As a simple model for spin-Peierls systems we study a frustrated Heisenberg chain coupled to optical phonons. In view of the anorganic spin-Peierls compound CuGeO3 we consider two different…

Thermodynamical Properties of a Spin 1/2 Heisenberg Chain Coupled to Phonons

- Physics
- 1999

We performed a finite-temperature quantum Monte Carlo simulation of the one-dimensional spin-1/2 Heisenberg model with nearest-neighbor interaction coupled to Einstein phonons. Our method allows to…

Observation of a Spin-Peierls Transition in a Heisenberg Antiferromagnetic Linear-Chain System

- Physics
- 1975

Magnetic-susceptibility and EPR measurements are reported which provide the first unambiguous evidence for a spin-Peierls transition in a system of linear one-dimensional antiferromagnetic Heisenberg…

Nonadiabatic Approach to Spin-Peierls Transitions via Flow Equations

- Physics
- 1998

The validity of the adiabatic approach to spin-Peierls transitions is assessed. An alternative approach is developed which maps the initial magneto-elastic problem to an effective magnetic problem…

Magnetoelastic excitations in spin-Peierls systems

- Physics
- 2001

From the random-phase approximation to the spin-Peierls transition, two parameter regimes of phonon softening and hardening are present. Magnetoelastic excitations are discussed in detail for phonons…

Phase diagram of one-dimensional electron-phonon systems. I. the Su-Schrieffer-Heeger model

- Physics
- 1983

We study the nature of the ground state of the Su-Schrieffer-Heeger model for electron-phonon interactions in one dimension in the half-filled-band case. We consider the cases of spinless electrons…