Universal critical behavior of the two-magnon-bound-state mass gap for the <mml:math altimg="si42.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>-dimensional Ising model

Abstract We apply the optimized perturbation theory (OPT) to resum the perturbative series describing the mass gap of the bidimensional ϕ4 theory in the ℤ2 symmetric phase. Already at NLO (one loop) the method is capable of generating a quite reasonable non-perturbative result for the critical coupling. At order-g7 we obtain gc = 2.779(25) which compares very well with the state of the art N8LO result, gc = 2.807(34). As a novelty we investigate the supercritical region showing that it contains some useful complimentary information that can be used in extrapolations to arbitrarily high orders.

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Critical behavior of the two-dimensional nonequilibrium zero-temperature random field Ising model on a triangular lattice

Physical Review E ◽

10.1103/physreve.95.042131 ◽

2017 ◽

Vol 95 (4) ◽

Cited By ~ 3

Author(s):

Sanja Janićević ◽

Svetislav Mijatović ◽

Djordje Spasojević

Keyword(s):

Ising Model ◽

Random Field ◽

Critical Behavior ◽

Triangular Lattice ◽

Two Dimensional ◽

Zero Temperature ◽

Random Field Ising Model

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Static critical behavior of the ferromagnetic Ising model on the quasiperiodic octagonal tiling

Physical Review B ◽

10.1103/physrevb.51.12523 ◽

1995 ◽

Vol 51 (18) ◽

pp. 12523-12530 ◽

Cited By ~ 22

Author(s):

D. Ledue ◽

D. P. Landau ◽

J. Teillet

Keyword(s):

Ising Model ◽

Critical Behavior ◽

Ferromagnetic Ising Model

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Pseudo-Yang-Lee Edge Singularity Critical Behavior in a Non-Hermitian Ising Model

Entropy ◽

10.3390/e22070780 ◽

2020 ◽

Vol 22 (7) ◽

pp. 780

Author(s):

Liang-Jun Zhai ◽

Guang-Yao Huang ◽

Huai-Yu Wang

Keyword(s):

Phase Transition ◽

Ising Model ◽

Critical Behavior ◽

Critical Region ◽

Numerical Study ◽

Transverse Field ◽

Scaling Theory ◽

New Order ◽

Edge Singularity ◽

Transverse Field Ising Model

The quantum phase transition of a one-dimensional transverse field Ising model in an imaginary longitudinal field is studied. A new order parameter M is introduced to describe the critical behaviors in the Yang-Lee edge singularity (YLES). The M does not diverge at the YLES point, a behavior different from other usual parameters. We term this unusual critical behavior around YLES as the pseudo-YLES. To investigate the static and driven dynamics of M, the (1+1) dimensional ferromagnetic-paramagnetic phase transition ((1+1) D FPPT) critical region, (0+1) D YLES critical region and the (1+1) D YLES critical region of the model are selected. Our numerical study shows that the (1+1) D FPPT scaling theory, the (0+1) D YLES scaling theory and (1+1) D YLES scaling theory are applicable to describe the critical behaviors of M, demonstrating that M could be a good indicator to detect the phase transition around YLES. Since M has finite value around YLES, it is expected that M could be quantitatively measured in experiments.

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