.. _sphx_glr_api_gallery_statphys_xy_model:

XY model
--------

The 2D classical XY model and the topological Kosterlitz-Thouless
transition.


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="The 2D XY model places a planar spin angle \theta_i \in [0,2\pi) on every site of a periodic lattice, with Hamiltonian">

.. only:: html

  .. image:: /api/gallery/statphys/xy_model/images/thumb/sphx_glr_plot_kt_vortex_unbinding_thumb.png
    :alt:

  :doc:`/api/gallery/statphys/xy_model/plot_kt_vortex_unbinding`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">The Kosterlitz-Thouless transition: vortex-antivortex unbinding</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /api/gallery/statphys/xy_model/plot_kt_vortex_unbinding