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

The European Physical Journal B

Quantum-like criticality for a classical transverse Ising model in 4–ε dimensions

Alvaro Caramico D’Auria, L. De Cesare, Maria Teresa Mercaldo, Ileana Rabuffo

Published Sep 27, 2010• 3 citations
Publisher
DOI
10.1140/epjb/e2010-00294-y

Related papers

Quantum classical crossover critical behavior of the Ising model in a transverse field

Pierre M. Pfeuty

Physica B+C•Jan 1, 1977•2 citations

Equation of state and quantum crossover in the transverse Ising model

K. Lukierska‐Walasek

The equation of state of the transverse Ising model in a longitudinal field B is investigated in the vicinity of the zero-temperature multicritical point by using the renormalisation group method recently proposed by the author and K. Walasek (1983). For the critical value of transverse field the scaling crossover form of the relation between the longitudinal magnetic field and magnetisation M is obtained as B approximately M delta q Psi (z) with z approximately TM - phi beta q/, where phi , delta q and beta q denote the crossover and multicritical exponents. The crossover scaling function Psi (z) is calculated for the spatial dimensions d<or=3 and 3<d<4 to the first order in epsilon '=3-d and epsilon =4-d, respectively.

Journal of Physics C Solid State Physics•Oct 30, 1984•2 citations

Scaling functions for classical to quantum crossover in the transverse Ising model via an effective Wilsonian renormalization group approach in 4 – ε dimensions

L. De Cesare, Alvaro Caramico D’Auria, Ileana Rabuffo +1 more

The European Physical Journal B•Jan 15, 2010•7 citations

Quantum Criticality in the Transverse Field Random Ising Model

Kristoffer Aronsen

•Jan 1, 2019•0 citations

Critical Behaviour of the Ising Model with a Transverse Field

Julia Mihailowa Wesselinowa

De Gruyter eBooks•Dec 31, 1985•0 citations

Numerical Transfer Matrix Study of the Ising Model between One and Two Dimensions

M. A. Novotny

A method is presented which interpolates continuously between one and two dimensions for classical statistical-mechanical models. The interpolation scheme preserves the translational invariance of the system. A numerical transfer matrix study is made using the interpolation scheme on the Ising model. Results for the thermal and magnetic critical exponent as a function of dimension are obtained which are in good agreement with d = 1 + ε and d = 4 - ε expansions.

Europhysics Letters (EPL)•Jan 21, 1992•10 citations
The equation of state of the transverse Ising model in a longitudinal field B is investigated in the vicinity of the zero-temperature multicritical point by using the renormalisation group method recently proposed by the author and K. Walasek (1983). For the critical value of transverse field the scaling crossover form of the relation between the longitudinal magnetic field and magnetisation M is obtained as B approximately M delta q Psi (z) with z approximately TM - phi beta q/, where phi , delta q and beta q denote the crossover and multicritical exponents. The crossover scaling function Psi (z) is calculated for the spatial dimensions d<or=3 and 3<d<4 to the first order in epsilon '=3-d and epsilon =4-d, respectively.