IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v232y1996i1p487-498.html
   My bibliography  Save this article

Extraordinary transition for the anisotropic Heisenberg ferromagnet on a semi-infinite lattice

Author

Listed:
  • Branco, N.S.
  • Chame, Anna

Abstract

We obtain bulk and surface order parameters of the spin-12 anisotropic Heisenberg ferromagnet in a semi-infinite (d = 3) lattice, as functions of the temperature. This model is described by the Hamiltonian −β H = Σ〈i,j〉Kij[(1 − Δij)(σixσjx + σiyσiy) + σizσjz], where the coupling constant Kij and the anisotropy Δij equal KB and ΔB for bulk interactions and KS and ΔS for surface interactions. Using real-space renormalization-group techniques, we discuss the (possible) discontinuity on the first (or second) derivative of the surface magnetization at the extraordinary transition, where the surface maintains its magnetization as the bulk disorders. This transition has been extensively studied in the Ising case (Δ = 1), due to a controversy on the continuity of the first derivative of the surface magnetization at this point.

Suggested Citation

  • Branco, N.S. & Chame, Anna, 1996. "Extraordinary transition for the anisotropic Heisenberg ferromagnet on a semi-infinite lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 487-498.
    • Handle: RePEc:eee:phsmap:v:232:y:1996:i:1:p:487-498
    DOI: 10.1016/0378-4371(96)00138-0
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437196001380
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(96)00138-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. De Oliveira, Suzana Moss & Continentino, M.A. & Oliveira, P.M.C., 1990. "The random field Ising model in one and two dimensions: A renormalization group approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 162(3), pages 458-476.
    2. Pamela Smock, 1993. "The economic costs of marital disruption for Young Women over the past two decades," Demography, Springer;Population Association of America (PAA), vol. 30(3), pages 353-371, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bellido, Héctor & Molina, José Alberto & Solaz, Anne & Stancanelli, Elena, 2016. "Do children of the first marriage deter divorce?," Economic Modelling, Elsevier, vol. 55(C), pages 15-31.
    2. Kerwin Charles & Erik Hurst & Alexandra Killewald, 2013. "Marital Sorting and Parental Wealth," Demography, Springer;Population Association of America (PAA), vol. 50(1), pages 51-70, February.
    3. repec:pri:crcwel:wp09-10-ff is not listed on IDEAS
    4. Kelly Bedard & Olivier Deschênes, 2005. "Sex Preferences, Marital Dissolution, and the Economic Status of Women," Journal of Human Resources, University of Wisconsin Press, vol. 40(2).
    5. Aydogan Ulker, 2004. "Wealth Holdings and Portfolio Allocation of Older Couples: The Role of Spouses’ Marital History," CEPR Discussion Papers 477, Centre for Economic Policy Research, Research School of Economics, Australian National University.
    6. Gulgun Bayaz-Ozturk & Richard V. Burkhauser & Kenneth A. Couch & Richard Hauser, 2018. "The Effects of Union Dissolution on the Economic Resources of Men and Women: A Comparative Analysis of Germany and the United States, 1985–2013," The ANNALS of the American Academy of Political and Social Science, , vol. 680(1), pages 235-258, November.
    7. Teresa Mauldin & Yoko Mimura, 2007. "Marrying, Unmarrying, and Poverty Dynamics among Mothers with Children Living at Home," Journal of Family and Economic Issues, Springer, vol. 28(4), pages 566-582, December.
    8. Lilach Lurie & Haya Stier, 2022. "Marital Status and Gender Inequality in Household Income Among Older Adults in Israel: Changes Over time," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 159(2), pages 801-820, January.
    9. Marianne Bitler & Jonah Gelbach & Hilary Hoynes & Madeline Zavodny, 2004. "The impact of welfare reform on marriage and divorce," Demography, Springer;Population Association of America (PAA), vol. 41(2), pages 213-236, May.
    10. Judi Bartfeld, 2000. "Child support and the postdivorce economic well-being of mothers, fathers, and children," Demography, Springer;Population Association of America (PAA), vol. 37(2), pages 203-213, May.
    11. Paul Anderson, 2003. "The 'Risk Gap', Its Determinants and Economic Implications," SALDRU/CSSR Working Papers 039, Southern Africa Labour and Development Research Unit, University of Cape Town.
    12. de Moraes, J.N.B. & Figueiredo, W., 1995. "Effects of the bulk anisotropy on the surface magnetization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(1), pages 133-138.
    13. Laura Tach & Alicia Eads, 2015. "Trends in the Economic Consequences of Marital and Cohabitation Dissolution in the United States," Demography, Springer;Population Association of America (PAA), vol. 52(2), pages 401-432, April.
    14. Christina Boll & Simone Schüller, 2021. "Shared Parenting and Parents’ Income Evolution after Separation: New Explorative Insights from Germany," SOEPpapers on Multidisciplinary Panel Data Research 1131, DIW Berlin, The German Socio-Economic Panel (SOEP).
    15. Judi Bartfeld, 1998. "Child Support and the Post-Divorce Economic Well-Being of Mothers, Fathers, and Children," JCPR Working Papers 50, Northwestern University/University of Chicago Joint Center for Poverty Research.
    16. Malcolm, Michael & Abdurrahman, Zainab, 2014. "The High Cost Of Specialization: Labor Market Outcomes Following Divorce," Review of Applied Economics, Lincoln University, Department of Financial and Business Systems, vol. 10(1-2), January.
    17. Matthijs Kalmijn, 2005. "The Effects of Divorce on Men’s Employment and Social Security Histories," European Journal of Population, Springer;European Association for Population Studies, vol. 21(4), pages 347-366, December.
    18. Marianne Bitler & Jonah Gelbach & Hilary Hoynes & Madeline Zavodny, 2004. "The impact of welfare reform on marriage and divorce," Demography, Springer;Population Association of America (PAA), vol. 41(2), pages 213-236, May.
    19. Anne-Lise Biotteau & Carole Bonnet & Emmanuelle Cambois, 2019. "Risk of Major Depressive Episodes After Separation: The Gender-Specific Contribution of the Income and Support Lost Through Union Dissolution," European Journal of Population, Springer;European Association for Population Studies, vol. 35(3), pages 519-542, July.
    20. Jonathan Fisher & Angela Lyons, 2006. "Till Debt do us Part: A Model of Divorce and Personal Bankruptcy," Review of Economics of the Household, Springer, vol. 4(1), pages 35-52, March.
    21. Shanta Pandey & Jeoung-hee Kim, 2008. "Path to Poverty Alleviation: Marriage or Postsecondary Education?," Journal of Family and Economic Issues, Springer, vol. 29(1), pages 166-184, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:232:y:1996:i:1:p:487-498. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.