Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Springer proceedings in physics

Quantum Critical Exponents of a Planar Antiferromagnet

Matthias Troyer, Masatoshi Imada

Published Jan 1, 1998• 0 citations
Publisher
DOI
10.1007/978-3-642-46851-3_11

Related papers

Exact critical exponents for the antiferromagnetic quantum critical metal near three dimensions

Peter Lunts, Andrés Schlief, Sung-Sik Lee

Bulletin of the American Physical Society•Mar 15, 2017•0 citations

The critical exponent η of the planar model from one-dimensional quantum field theory

Marcel den Nijs

Physica A Statistical Mechanics and its Applications•Mar 1, 1982•29 citations

Critical Exponents of the Quantum Phase Transition in a Planar Antiferromagnet

Matthias Troyer, Masatoshi Imada, Kazuo Ueda

We have performed a large scale quantum Monte Carlo study of the quantum phase transition in a planar spin-1/2 Heisenberg antiferromagnet with CaV4O9 structure. We obtain a dynamical exponent z=1.018+/-0.02. The critical exponents beta, nu and eta agree within our errors with the classical 3D O(3) exponents, expected from a mapping to the nonlinear sigma model. This confirms the conjecture of Chubukov, Sachdev and Ye [Phys. Rev. B 49, 11919 (1994)] that the Berry phase terms in the planar Heisenberg antiferromagnet are dangerously irrelevant.

arXiv:cond-mat/9702077•Journal of the Physical Society of Japan•Oct 15, 1997•73 citations

Quantum criticality and universal scaling of a quantum antiferromagnet

B. Lake, D. M. Tennant, Chris D. Frost +1 more

arXiv:cond-mat/0501069•Nature Materials•Mar 20, 2005•340 citations

Quantum critical exponents of a planar antiferromagne

Matthias Troyer, Masatoshi Imada

We present high precision estimates of the exponents of a quantum phase transition in a planar antiferromagnet. This has been made possible by the recent development of cluster algorithms for quantum spin systems, the loop algorithms. Our results support the conjecture that the quantum Heisenberg antiferromagnet is in the same universality class as the O(3) nonlinear sigma model. The Berry phase in the Heisenbrg antiferromagnet do not seem to be relevant for the critical behavior.

arXiv:cond-mat/9703049•Mar 5, 1997•0 citations

Quantum criticality in an itinerant antiferromagnet

R. Jaramillo, Yejun Feng, Jing Wang +1 more

Bulletin of the American Physical Society•Mar 17, 2010•0 citations
We have performed a large scale quantum Monte Carlo study of the quantum phase transition in a planar spin-1/2 Heisenberg antiferromagnet with CaV4O9 structure. We obtain a dynamical exponent z=1.018+/-0.02. The critical exponents beta, nu and eta agree within our errors with the classical 3D O(3) exponents, expected from a mapping to the nonlinear sigma model. This confirms the conjecture of Chubukov, Sachdev and Ye [Phys. Rev. B 49, 11919 (1994)] that the Berry phase terms in the planar Heisenberg antiferromagnet are dangerously irrelevant.