# Random spin-1 quantum chains

@article{Boechat1996RandomSQ, title={Random spin-1 quantum chains}, author={Beatriz Boechat and Andreia Saguia and Mucio A. Continentino}, journal={Solid State Communications}, year={1996}, volume={98}, pages={411-416} }

We study disordered spin-1 quantum chains with random exchange and biquadratic interactions using a real space renormalization group approach. We find that the dimerized phase of the pure biquadratic model is unstable and gives rise to a random singlet phase in the presence of weak disorder. In the Haldane region of the phase diagram we obtain a quite different behavior.

## 13 Citations

Phase diagram of the random Heisenberg antiferromagnetic spin-1 chain.

- Physics, MedicinePhysical review letters
- 2002

A new perturbative real space renormalization group (RG) is presented to study random quantum spin chains and other one-dimensional disordered quantum systems and finds a random singlet phase for strong disorder.

Nonadditive entropy for random quantum spin-S chains

- Physics
- 2010

We investigate the scaling of Tsallis entropy in disordered quantum spin-S chains. We show that an extensive scaling occurs for specific values of the entropic index. Those values depend only on the…

Magnetization process of random quantum spin chains

- Physics
- 2001

The magnetization process of spin chains with randomness is discussed. We emphasize a close analogy between these systems and disordered particle systems and pay particular attention to the…

Tensor network renormalization group study of spin-1 random Heisenberg chains

- Physics
- 2019

Abstract We use a tensor network strong-disorder renormalization group (tSDRG) method to study spin-1 random Heisenberg antiferromagnetic chains. The ground state of the clean spin-1 Heisenberg chain…

Numerical analysis of the bond-random antiferromagnetic S=1 Heisenberg chain

- Mathematics, Physics
- 1998

The ground state of the bond-random antiferromagnetic S=1 Heisenberg chain with the biquadratic interaction −β∑i(Si·Si+1)2 is investigated by means of the exact-diagonalization method and the…

Large moment formation and thermodynamic properties of disordered spin ladders with site dilution

- Materials Science, Physics
- 2003

Low temperature properties of antiferromagnetic two-leg spin-1/2 ladders with bond randomness and site dilution (or doping with nonmagnetic impurities) are studied using the real-space…

Quantum first-order phase transitions

- Physics
- 2004

The scaling theory of critical phenomena has been successfully extended for classical first-order transitions even though the correlation length does not diverge in these transitions. In this paper,…

Random-field-driven phase transitions in the ground state of the S=1 XXZ spin chain

- Mathematics, Physics
- 1998

The ground state of the S=1 XXZ spin chain under the influence of the random magnetic field is studied by means of the exact diagonalization method. The S=12 counterpart has been investigated…

Strong disorder RG approach of random systems

- Physics, Mathematics
- 2005

Abstract There is a large variety of quantum and classical systems in which the quenched disorder plays a dominant role over quantum, thermal, or stochastic fluctuations: these systems display strong…

Disorder-driven non-Fermi liquid behaviour of correlated electrons

- Physics, Mathematics
- 2005

Systematic deviations from standard Fermi-liquid behaviour have been widely observed and documented in several classes of strongly correlated metals. For many of these systems, mounting evidence is…

## References

SHOWING 1-10 OF 14 REFERENCES

Random Antiferromagnetic Chain

- Physics
- 1979

The quantum spin- 1/2 Heisenberg antiferromagnet in one dimension with randomly distributed coupling constants is solved approximately. Ground-state energies and low-temperature properties are…

New Results for q-State Vertex Models and the Pure Biquadratic Spin-1 Hamiltonian

- Physics
- 1989

New exactly solvable SO(q)-invariant q-state vertex models are introduced. We employ a new method using inversion relations which enables us to determine directly the spectra of the transfer…

Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State

- Physics
- 1983

The continuum field theory describing the low-energy dynamics of the large-spin one-dimensional Heisenberg antiferromagnet is found to be the O(3) nonlinear sigma model. When weak easy-axis…

Phys.Rev.Lett. Phys.Rev.B22

- Phys.Rev.Lett. Phys.Rev.B22
- 1979

Magnetic and charge dynamics in a doped one-dimensional transition metal oxide.

- Materials Science, MedicinePhysical review letters
- 1994

Phys.Rev. B50 Phys. Rev. B51

- Phys.Rev. B50 Phys. Rev. B51
- 1994

Phys.Rev.B50

- Phys.Rev.B50
- 1994

Phys.Rev.Lett

- Phys.Rev.Lett
- 1994

Europhys

- Lett.9 , 815 (1989). M. T. Batchelor and M. N. Barber, Phys.Rev. B40 , 4621 (1989);ibid J.Phys. A23 L15
- 1990

Europhys. Lett. Phys.Rev. B40 J.Phys. A23

- Europhys. Lett. Phys.Rev. B40 J.Phys. A23
- 1989