An open-boundary integrable model of three coupled XY spin chains

The integrable open-boundary conditions for the model of three coupled one-dimensional XY spin chains are considered in the framework of the quantum inverse scattering method. The diagonal boundary K-matrices are found and a class of integrable boundary terms is determined. The boundary model Hamiltonian is solved by using the coordinate space Bethe ansatz technique and Bethe ansatz equations are derived. (C) 1998 Elsevier Science B.V.

Effect of disorder on quantum phase transitions in anisotropic XY spin chains in a transverse field

We present some exact results for the effect of disorder on the critical properties of an anisotropic XY spin chain in a transverse held. The continuum limit of the corresponding fermion model is taken and in various cases results in a Dirac equation with a random mass. Exact analytic techniques can then be used to evaluate the density of states and the localization length. In the presence of disorder the ferromagnetic-paramagnetic or Ising transition of the model is in the same universality class as the random transverse field Ising model solved by Fisher using a real-space renormalization-group decimation technique (RSRGDT). If there is only randomness in the anisotropy of the magnetic exchange then the anisotropy transition (from a ferromagnet in the x direction to a ferromagnet in the y direction) is also in this universality class. However, if there is randomness in the isotropic part of the exchange or in the transverse held then in a nonzero transverse field the anisotropy transition is destroyed by the disorder. We show that in the Griffiths' phase near the Ising transition that the ground-state energy has an essential singularity. The results obtained for the dynamical critical exponent, typical correlation length, and for the temperature dependence of the specific heat near the Ising transition agree with the results of the RSRODT and numerical work. [S0163-1829(99)07125-8].

Perceived environmental aesthetics and convenience and company are associated with walking for exercise among Australian adults

Background. This study aimed to investigate relationships between environmental aesthetics, convenience, and walking companions and walking for exercise or recreation and to investigate differences in these relationships by sex and by reported physical and mental health. Methods. Analyses of cross-sectional self-report data from a statewide population survey of 3,392 Australian adults were used. Results. Men and women reporting a less aesthetically pleasing or less convenient environment were less likely to report walking for exercise or recreation in the past 2 weeks. Those respondents, particularly women, reporting no company or pet to walk with were also less likely to walk for exercise or recreation. Associations with environmental and social influences were observed for men and women reporting both good and poor physical and mental health. Conclusions. Perceived environmental aesthetics and convenience and walking companions are important correlates of walking for exercise among urban Australians. Acknowledging the cross-sectional nature of these data, findings support a case for evaluation of environmental policies to promote physical activity. (C) 2001 American Health Foundation and Academic Press.

Jordan-Wigner fermionization of the one-dimensional Bariev model of three coupled XY chains

The Jordan-Wigner fermionization for the one-dimensional Bariev model of three coupled XY chains is formulated. The L-matrix in terms of fermion operators and the R-matrix are presented explicitly. Furthermore, the graded reflection equations and their solutions are discussed.

Masculine, feminine or neutral? In-company equal opportunities policies in Irish and French MNC retailing

Several problematic aspects of women's paid employment - e.g. low pay and lack of promotional opportunities - are exacerbated by the segregation of women and men into different occupations. In this article, the potential of in-store equal opportunities policies to break down such gender segregation will be explored, through consideration of the existence and implementation of these policies in twenty-two multinational retail companies in Dublin and Paris. It will be argued that, with one notable exception, the instore equal opportunities policies are effectively neutralized, and furthermore are neutralized in nationally specific ways which can be related to differences between France and Ireland in the organization of labour-market regulation and in women's labour-force participation (LFP). The case-study findings also suggest that the 'country' variable has a stronger effect on the existence and implementation of these policies than the extent of a shop's links to an overseas headquarters. The findings of this study have implications for both the equity of women's incorporation into the paid labour force and understanding of aspects of HRM in branches of multinational companies.