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  • 1
    Electronic Resource
    Electronic Resource
    On the critical behavior of the Ising model with mixed two- and three-spin interactions (1987)
    Springer
    Journal of statistical physics 46 (1987), S. 435-453 
    Details
    ISSN: 1572-9613
    Keywords: Ising models ; finite-size scaling ; critical phenomena ; multispin interactions ; conformal invariance ; Ashkin-Teller model ; Potts models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A study is made of a two-dimensional Ising model with staggered three-spin interactions in one direction and two-spin interactions in the other. The phase diagram of the model and its critical behavior are explored by conventional finite-size scaling and by exploiting relations between mass gap amplitudes and critical exponents predicted by conformal invariance. The model is found to exhibit a line of continuously varying critical exponents, which bifurcates into two Ising critical lines. This similarity of the model with the Ashkin-Teller model leads to a conjecture for the exact critical indices along the nonuniversal critical curve. Earlier contradictions about the universality class of the uniform (isotropic) case of the model are clarified.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01013367
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  • 2
    Electronic Resource
    Electronic Resource
    Conformal invariance and the critical behavior of the tripletXY quantum chain (1990)
    Springer
    Journal of statistical physics 60 (1990), S. 639-657 
    Details
    ISSN: 1572-9613
    Keywords: Ising models ; finite-size scaling ; multispin interactions ; conformal invariance ; XY model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We introduce and study the critical properties of the tripletXY quantum chain. This system is described in terms of three-spin interactions and is the generalization of the standardXY quantum chain. We show that this model, with periodic boundaries, has a local gauge invariance and can be described by the composition of two triplet Ising models, with general toroidal boundary conditions. From this composition the phase diagram as well the conformai anomaly and critical exponents are determined by exploring their relations with the mass gap amplitudes predicted by conformai invariance.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01025986
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    Paper (German National Licenses)
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