.. _publications:

Publications using the hubbard package
======================================

This implementation of the `hubbard` package has been used in the listed
publications below.

#. J. Li, S. Sanz, M. Corso, D.J. Choi, D. Pena, T. Frederiksen and J.I. Pascual,
   *Single spin localization and manipulation in graphene open-shell nanostructures*,
   `Nature Communications 10, 200 (2019) <https://www.nature.com/articles/s41467-018-08060-6>`_

#. J. Li, S. Sanz, J. Castro-Esteban, M. Vilas-Varela, N. Friedrich, T. Frederiksen, D. Peña, J. I. Pascual,
   *Uncovering the Triplet Ground State of Triangular Graphene Nanoflakes Engineered with Atomic Precision on a Metal Surface*,
   `Phys. Rev. Lett. 124, 177201 (2020) <https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.124.177201>`_

#. J. Li, S. Sanz, N. Merino-Díez, M. Vilas-Varela, A. Garcia-Lekue, M. Corso, D. G. de Oteyza, T. Frederiksen, D. Peña, and J. I. Pascual,
   *Topological phase transition in chiral graphene nanoribbons: from edge bands to end states*
   `Nature Communications 12, 5538 (2021) <https://www.nature.com/articles/s41467-021-25688-z>`_

#. J. Hieulle, S. Castro, N. Friedrich, A. Vegliante, F. Romero Lara, S. Sanz, D. Rey, M. Corso, T. Frederiksen, J. Ignacio Pascual, D. Peña,
   *On-Surface Synthesis and Collective Spin Excitations of a Triangulene-Based Nanostar*
   `Angewandte Chemie International Edition 60 (48), 25224-25229 (2021) <https://onlinelibrary.wiley.com/doi/full/10.1002/anie.202108301>`_

#. T. Wang, S. Sanz, J. Castro-Esteban, J. Lawrence, A. Berdonces-Layunta, M. S. G. Mohammed, M. Vilas-Varela, M. Corso, D. Peña, T. Frederiksen, and D. G. de Oteyza,
   *Magnetic Interactions Between Radical Pairs in Chiral Graphene Nanoribbons*
   `Nano Letters 22, 1, 164-171 (2022) <https://pubs.acs.org/doi/abs/10.1021/acs.nanolett.1c03578>`_

#. S. Sanz, N. Papior, G. Giedke, D. Sánchez-Portal, M. Brandbyge, T. Frederiksen,
   *A spin-polarizing electron beam splitter from crossed graphene nanoribbons*
   `Phys. Rev. Lett. 129, 037701 (2022) <https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.129.037701>`_

#. S. Sanz, N. Papior, G. Giedke, D. Sánchez-Portal, M. Brandbyge, T. Frederiksen,
   *Mach--Zehnder-like interferometry with graphene nanoribbon networks*
   Submitted (2023) `J. Phys.: Condens. Matter 35 374001 (2023) <https://iopscience.iop.org/article/10.1088/1361-648X/acd832/meta>`_

#. J. Brede, N. Merino-Díez, A. Berdonces, S. Sanz, A. Domínguez-Celorrio, J. Lobo-Checa, M. Vilas-Varela, D. Peña, T. Frederiksen, J. I. Pascual, D. G. de Oteyza, D. Serrate
   *Detecting the spin-polarization of edge states in graphene nanoribbons*
   Submitted (2023) `Nature Communications 14, 6677 (2023) <https://www.nature.com/articles/s41467-023-42436-7>`_

.. _citing:

Citing the hubbard package
==========================

If hubbard is used to produce scientific contributions please include citations, in addition to `sisl <https://zerothi.github.io/sisl/cite.html>`_, to the following Zenodo DOI:

.. code-block:: bash

    @misc{dipc_hubbard,
      author       = {Sanz Wuhl, Sofia and
                      Papior, Nick and
                      Brandbyge, Mads and
                      Frederiksen, Thomas},
      title        = {hubbard: v<fill-version>},
      year         = {2023},
      doi          = {10.5281/zenodo.4748765},
      url          = {https://doi.org/10.5281/zenodo.4748765}
    }

and also to the following works:

* For molecules/periodic structures

.. code-block:: bash

    @Article{Li2019,
      author={Li, Jingcheng
      and Sanz, Sofia
      and Corso, Martina
      and Choi, Deung Jang
      and Pe{\~{n}}a, Diego
      and Frederiksen, Thomas
      and Pascual, Jose Ignacio},
      title={Single spin localization and manipulation in graphene open-shell nanostructures},
      journal={Nature Communications},
      year={2019},
      month={Jan},
      day={14},
      volume={10},
      number={1},
      pages={200},
      issn={2041-1723},
      doi={10.1038/s41467-018-08060-6},
      url={https://doi.org/10.1038/s41467-018-08060-6}
    }


and/or this

.. code-block:: bash

    @article{Li2020,
      title = {Uncovering the Triplet Ground State of Triangular Graphene Nanoflakes Engineered with Atomic Precision on a Metal Surface},
      author = {Li, Jingcheng
      and Sanz, Sofia
      and Castro-Esteban, Jesus
      and Vilas-Varela, Manuel
      and Friedrich, Niklas
      and Frederiksen, Thomas
      and Pe\~na, Diego
      and Pascual, Jose Ignacio},
      journal = {Phys. Rev. Lett.},
      volume = {124},
      issue = {17},
      pages = {177201},
      numpages = {6},
      year = {2020},
      month = {Apr},
      publisher = {American Physical Society},
      doi = {10.1103/PhysRevLett.124.177201},
      url = {https://link.aps.org/doi/10.1103/PhysRevLett.124.177201}
    }



* For open boundary conditions:


.. code-block:: bash

    @article{PhysRevLett.129.037701,
      title = {Spin-Polarizing Electron Beam Splitter from Crossed Graphene 				Nanoribbons},
      author = {Sanz, Sofia and Papior, Nick and Giedke, G\'eza and S\'anchez-Portal, Daniel and Brandbyge, Mads and Frederiksen, Thomas},
      journal = {Phys. Rev. Lett.},
      volume = {129},
      issue = {3},
      pages = {037701},
      numpages = {7},
      year = {2022},
      month = {Jul},
      publisher = {American Physical Society},
      doi = {10.1103/PhysRevLett.129.037701},
      url = {https://link.aps.org/doi/10.1103/PhysRevLett.129.037701}
    }


Related bibliography
====================

There are several works that have employed the Hubbard model in the mean-field approximation to study magnetic fingerprints in several graphene-based nanostructures (appart from those cited in the `publications`_ section).
Here we list some of them:

#. `J. Hubbard Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences 276, No. 1365 The Royal Society 238-257 (1963) <https://royalsocietypublishing.org/doi/abs/10.1098/rspa.1963.0204>`_
#. `M. Fujita et al., J. Phys. Soc. Jpn. 65, 7, 1920-1923 (1996)  <https://journals.jps.jp/doi/10.1143/JPSJ.65.1920>`_
#. `J. Fernández-Rossier and J. J. Palacios Phys. Rev. Lett. 99, 177204 (2007) <https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.99.177204>`_
#. `J. J. Palacios et al., Phys. Rev. B 77, 195428 (2008) <https://journals.aps.org/prb/abstract/10.1103/PhysRevB.77.195428>`_
#. `F. Muñoz-Rojas et al., Phys. Rev. Lett. 102, 136810 (2009) <https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.102.136810>`_
#. `K. Wakabayashi et al., Science and Technology of Advanced Materials 11, 5, 054504 (2010) <https://www.tandfonline.com/doi/full/10.1088/1468-6996/11/5/054504>`_
#. `Oleg V Yazyev Rep. Prog. Phys. 73 056501 (2010) <https://arxiv.org/abs/1004.2034>`_
#. `Y. Hancock et al., Phys. Rev. B 81, 245402 (2010) <https://journals.aps.org/prb/abstract/10.1103/PhysRevB.81.245402>`_
#. `S. Mishra et al., J. Am. Chem. Soc. 141, 27, 10621–10625 (2019) <https://pubs.acs.org/doi/10.1021/jacs.9b05319>`_
#. `S. Mishra et al., Angewandte Chemie International Edition 59, 12041-12047 (2020) <https://onlinelibrary.wiley.com/doi/full/10.1002/anie.202002687>`_
#. `S. Mishra et al., Nature Nanotechnology 15, 22–28 (2020) <https://www.nature.com/articles/s41565-019-0577-9>`_