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title: "Anisotropic Heisenberg Interface between Ising Bulk Ferromagnets: a Renormalization Group Approach • CBPF Index"
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**Physics Note****Published**

# **Anisotropic Heisenberg Interface between Ising Bulk Ferromagnets: a Renormalization Group Approach**

**R.J.V. dos Santos; E. F. Sarmento; C. Tsallis**

1985

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## **Publication details**

<dl>

<dt>Authors</dt>
<dd>R.J.V. dos Santos; E. F. Sarmento; C. Tsallis</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>1985</dd>

<dt>Description</dt>
<dd>We consider two semi-infinite spin 1/2 Ising media (respectively characterized by the ferromagnetic coupling constants &lt;math&gt;J_1\,\!&lt;/math&gt; and &lt;math&gt;J_2\,\!&lt;/math&gt; )separated by a spin 1 /2 anisotropic Heisenberg interface (characterized by a ferromagnetic coupling constant &lt;math&gt;J_S\,\!&lt;/math&gt;, and by an anisotropy &lt;math&gt;\eta\,\!&lt;/math&gt; &lt;math&gt; \epsilon [0,1] \,\!&lt;/math&gt; in spin space; &lt;math&gt;\eta =1 \,\!&lt;/math&gt; and &lt;math&gt;\eta =0 \,\!&lt;/math&gt; respectively correspond to the Ising and isotropic Heisenberg limits). Within a real-space renormalization-group framework, we discuss the full phase diagram; this diagram exhibits, besides the paramagnetic phase, three physically different ordered phases, namely the double-bulk, single-bulk and surface ferromagnetic ones. We also analyze the various universality classes appearing in this problem, and determine, in particular, the existence of a new high-order multicritical point associated with the &lt;math&gt;J_1\,\!&lt;/math&gt; = &lt;math&gt;J_2\,\!&lt;/math&gt; case.</dd>

<dt>Year</dt>
<dd>1985</dd>

<dt>Number</dt>
<dd>CBPF-NF-028/85</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

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