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 series in solid-state sciences

Universality in Quantum Random Magnetic Chains

J. E. Hirsch, Jorge V. José

Published Jan 1, 1981• 0 citations
Publisher
DOI
10.1007/978-3-642-81592-8_34

Related papers

Spin dynamics of quantum Ising chain in random correlated magnetic fields

Xiao-Juan Yuan, Chun-Yang Wang, Xiang-Mu Kong +3 more

Journal of Magnetism and Magnetic Materials•Mar 11, 2023•4 citations

Critical properties and phase diagram of quantum anisotropic XY spin chain in a random magnetic field: A density-matrix renormalization-group analysis

Aušrius Juozapavičius, Laura Urba, S. Caprara +1 more

The spin-1/2 quantum anisotropic $\mathrm{XY}$ spin chain in a transverse random magnetic field parallel to the z axis is numerically studied by means of the density-matrix renormalization group. The dependence of the spontaneous magnetization and the energy gap on both the strength of the random magnetic field and the factor of anisotropy is determined. The critical line for the order-disorder phase transition is obtained and the resulting phase diagram is drawn. Our results are compatible with the fact that models with different factors of anisotropy fall within the same universality class as the quantum Ising model in a transverse random field.

Physical review. B, Condensed matter•Dec 1, 1999•11 citations

Random spin-1 quantum chains

Beatriz Boechat, Andreia Saguia, M. A. Contínentino

arXiv:cond-mat/9602013•Solid State Communications•May 1, 1996•37 citations

Quantum Phase Transitions in Random Magnets

R. N. Bhatt

Springer proceedings in physics•Jan 1, 1998•0 citations

Critical properties and phase diagram of the quantum anisotropic XY spin chain in a random magnetic field: A density-matrix renormalization-group analysis

Aušrius Juozapavičius, Laura Urba, S. Caprara +1 more

The spin-1/2 quantum anisotropic XY spin chain in a transverse random magnetic field parallel to the z axis is numerically studied by means of the density-matrix renormalization group. The dependence of the spontaneous magnetization and the energy gap on both the strength of the random magnetic field and the factor of anisotropy is determined. The critical line for the order-disorder phase transition is obtained and the resulting phase diagram is drawn. Our results are compatible with the fact that models with different factors of anisotropy fall within the same universality class as the quantum Ising model in a transverse random field.

arXiv:cond-mat/9812056•Dec 3, 1998•0 citations

Quantum Critical Behavior of Diluted Quasi‐One‐Dimensional Ising Chains

Logan Sowadski, Thomas Vojta

ABSTRACT is a unique magnetic material. It features bulk 3D magnetic order at low temperatures, but its quantum critical behavior in a magnetic field is well described by the 1D transverse‐field Ising universality class. This behavior is facilitated by the structural arrangement of magnetic ions in nearly isolated zig‐zag chains. In this work, we investigate the effect of random site dilution on the critical properties of such a quasi‐1D quantum Ising system. To this end, we introduce an anisotropic site‐diluted 3D transverse‐field Ising model. We find that site dilution leads to unconventional activated scaling behavior at the quantum phase transition. Interestingly, the critical exponents of the quantum critical point are in good agreement with those of the disordered 3D transverse‐field Ising universality class, despite the strong spatial anisotropy. We discuss the generality of our findings as well as implications for experiments.

arXiv:2511.01661•Annalen der Physik•Dec 29, 2025•0 citations
The spin-1/2 quantum anisotropic XY\mathrm{XY}XY spin chain in a transverse random magnetic field parallel to the z axis is numerically studied by means of the density-matrix renormalization group. The dependence of the spontaneous magnetization and the energy gap on both the strength of the random magnetic field and the factor of anisotropy is determined. The critical line for the order-disorder phase transition is obtained and the resulting phase diagram is drawn. Our results are compatible with the fact that models with different factors of anisotropy fall within the same universality class as the quantum Ising model in a transverse random field.
The spin-1/2 quantum anisotropic XY spin chain in a transverse random magnetic field parallel to the z axis is numerically studied by means of the density-matrix renormalization group. The dependence of the spontaneous magnetization and the energy gap on both the strength of the random magnetic field and the factor of anisotropy is determined. The critical line for the order-disorder phase transition is obtained and the resulting phase diagram is drawn. Our results are compatible with the fact that models with different factors of anisotropy fall within the same universality class as the quantum Ising model in a transverse random field.
ABSTRACT is a unique magnetic material. It features bulk 3D magnetic order at low temperatures, but its quantum critical behavior in a magnetic field is well described by the 1D transverse‐field Ising universality class. This behavior is facilitated by the structural arrangement of magnetic ions in nearly isolated zig‐zag chains. In this work, we investigate the effect of random site dilution on the critical properties of such a quasi‐1D quantum Ising system. To this end, we introduce an anisotropic site‐diluted 3D transverse‐field Ising model. We find that site dilution leads to unconventional activated scaling behavior at the quantum phase transition. Interestingly, the critical exponents of the quantum critical point are in good agreement with those of the disordered 3D transverse‐field Ising universality class, despite the strong spatial anisotropy. We discuss the generality of our findings as well as implications for experiments.