Critical exponents of one-dimensional quantum critical models by means of MERA tensor network

@inproceedings{Montangero2008CriticalEO,
  title={Critical exponents of one-dimensional quantum critical models by means of MERA tensor network},
  author={Simone Montangero and Matteo Rizzi and Vittorio Giovannetti and Rosario Fazio},
  year={2008}
}
Critical phenomena are ubiquitous in science ranging from condensed matter to biological or economic systems. They are associated to scale invariance, a diverging correlation lenght, and the various correlation functions decay as power law. A key issue in the study of of critical systems is the computation of the critical exponents, i.e. the exponents which govern the decay of the correlations. The power of methods like the renormalization group stems from its capability to compute… 
3 Citations

Figures from this paper

Exotic entanglement scaling of Heisenberg antiferromagnet on honeycomb lattice
Abstract The scaling behaviors of entanglement entropy (EE) against dimension cut-off of density matrix renormalization group (DMRG) in an anisotropic Heisenberg model on honeycomb lattice are
Introduction

References

SHOWING 1-10 OF 10 REFERENCES
Quantum phase transitions
Part I. Introduction: 1. Basic concepts 2. The mapping to classical statistical mechanics: single site models 3. Overview Part II. Quantum Ising and Rotor Models: 4. The Ising chain in a transverse
Phys
  • Rev. A 77, 052328
  • 2008
Phys
  • Rev. Lett. 99, 220602
  • 2007
Phys
  • Rev. Lett. 93, 227205
  • 2004
Rev
  • Mod. Phys. 77 259 (2005); K. Hallberg, Adv. Phys. 55 477
  • 2006
Eprint arXiv:cond-mat/0407066; V
  • Murg, F. Verstraete, and J. I. Cirac, Phys. Rev. A 75, 033605
  • 2007
Phys
  • Rev. Lett. 75, 3537
  • 1995
Ann
  • Phys. 16 407 (1961); P. Pfeuty, Ann. Phys. 57 79
  • 1970
Lett
  • Math. Phys. 25, 249
  • 1992
Phys
  • Rev. Lett. 99, 220405 (2007); ibid. 101, 110501
  • 2008