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

arXiv:1405.6946 · Communications in Mathematical Physics

Vanishing Critical Magnetization in the Quantum Ising Model

Jakob E. Björnberg

Published Feb 17, 2015• 11 citations
arXivHTMLPDF
DOI
10.1007/s00220-015-2299-7

Related papers

Vanishing critical magnetization in the quantum Ising model

Jakob E. Björnberg

Adapting the recent argument of Aizenman, Duminil-Copin and Sidoravicius for the classical Ising model, it is shown here that the magnetization in the transverse-field Ising model vanishes at the critical point. The proof applies to the ground state in dimension $d\geq2$ and to positive-temperature states in dimension $d\geq 3$, and relies on graphical representations as well as an infrared bound.

•Aug 16, 2016•8 citations

Spontaneous Magnetization of the Ising Model

Keh-Ying Lin

Chinese Journal of Physics•Jun 1, 1992•8 citations

Critical behavior of the Ising model with four-spin coupling

C.L. Wang, Z.K. Qin, D. L. Lin

Journal of Magnetism and Magnetic Materials•Jul 1, 1990•36 citations

Critical behavior of the quantum Ising model on a fractal structure

Hangmo Yi

We study the critical behavior of the transverse-field quantum Ising model on a fractal structure, namely the Sierpinski carpet. When a magnetic field Δ is applied perpendicular to the Ising spin direction, quantum fluctuations affect the transition between the ferromagnetic and the paramagnetic phases. Employing the continuous-time quantum Monte Carlo simulation method and the finite-size scaling analysis, we investigate the interplay between the quantum fluctuations and the exotic dimensionality of the fractal structure and its effect on the critical behavior. As the transverse magnetic field increases, the critical temperature monotonically decreases until it apparently vanishes at a critical field Δ(c), beyond which the system becomes paramagnetic at all temperatures. However, the critical exponents are independent of Δ and remain the same as in the purely classical(Δ=0) case.

Physical Review E•Jul 29, 2013•2 citations

Two-dimensional Ising criticality in interacting electron systems

Hiromi Otsuka, Masaaki Nakamura

Physica B Condensed Matter•Mar 1, 2005•0 citations

Spontaneous staggered magnetization in antiferromagnetic Heisenberg-Ising chains

Juan Pablo Neirotti, Mário J. de Oliveira

We calculate numerically the spontaneous staggered magnetization and susceptibility of the ground state of quantum antiferromagnetic Heisenberg-Ising chains. We use a zero-temperature Monte Carlo method and consider the cases of spin 1 and 2. As a function of the anisotropy parameter, the magnetization vanishes continuously at a critical point whose critical exponents for both cases are found to be in agreement with those of the two-dimensional Ising model.

Physical review. B, Condensed matter•Sep 1, 1996•4 citations
Adapting the recent argument of Aizenman, Duminil-Copin and Sidoravicius for the classical Ising model, it is shown here that the magnetization in the transverse-field Ising model vanishes at the critical point. The proof applies to the ground state in dimension d≥2d\geq2d≥2 and to positive-temperature states in dimension d≥3d\geq 3d≥3, and relies on graphical representations as well as an infrared bound.
We study the critical behavior of the transverse-field quantum Ising model on a fractal structure, namely the Sierpinski carpet. When a magnetic field Δ is applied perpendicular to the Ising spin direction, quantum fluctuations affect the transition between the ferromagnetic and the paramagnetic phases. Employing the continuous-time quantum Monte Carlo simulation method and the finite-size scaling analysis, we investigate the interplay between the quantum fluctuations and the exotic dimensionality of the fractal structure and its effect on the critical behavior. As the transverse magnetic field increases, the critical temperature monotonically decreases until it apparently vanishes at a critical field Δ(c), beyond which the system becomes paramagnetic at all temperatures. However, the critical exponents are independent of Δ and remain the same as in the purely classical(Δ=0) case.