Mermin–Wagner theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Mermin–Wagner theorem" in English language version.

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14doi.org

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11harvard.edu

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9arxiv.org

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8semanticscholar.org

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8nih.gov

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1springer.com

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1worldcat.org

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arxiv.org

Halperin, Bertrand I. (2019). "On the Hohenberg–Mermin–Wagner Theorem and Its Limitations". Journal of Statistical Physics. 175 (3–4): 521–529. arXiv:1812.00220. doi:10.1007/s10955-018-2202-y. ISSN 0022-4715.
See Gelfert & Nolting (2001). Gelfert, Axel; Nolting, Wolfgang (2001), "The absence of finite-temperature phase transitions in low-dimensional many-body models: a survey and new results", J. Phys.: Condens. Matter, 13 (27): R505–R524, arXiv:cond-mat/0106090, Bibcode:2001JPCM...13R.505G, doi:10.1088/0953-8984/13/27/201, S2CID 119150988
Shiba, H.; Yamada, Y.; Kawasaki, T.; Kim, K. (2016). "Unveiling Dimensionality Dependence of Glassy Dynamics: 2D Infinite Fluctuation Eclipses Inherent Structural Relaxation". Physical Review Letters. 117 (24): 245701. arXiv:1510.02546. Bibcode:2016PhRvL.117x5701S. doi:10.1103/PhysRevLett.117.245701. PMID 28009193. S2CID 30893052.
Vivek, S.; Kelleher, C. P.; Chaikin, P. M.; Weeks, E. R. (2017). "Long-wavelength fluctuations and the glass transition in two dimensions and three dimensions". Proceedings of the National Academy of Sciences. 114 (8): 1850–1855. arXiv:1604.07338. Bibcode:2017PNAS..114.1850V. doi:10.1073/pnas.1607226113. PMC 5338427. PMID 28137847.
Thompson-Flagg, R.C.; Moura, M.J.B; Marder, M. (2009). "Rippling of graphene". EPL. 85 (4): 46002. arXiv:0807.2938. Bibcode:2009EL.....8546002T. doi:10.1209/0295-5075/85/46002. S2CID 119024976.
Halperin, B.I. (2019). "On the Hohenberg–Mermin–Wagner Theorem and Its Limitations". Journal of Statistical Physics. 175 (3–4): 521–529. arXiv:1812.00220. Bibcode:2019JSP...175..521H. doi:10.1007/s10955-018-2202-y. S2CID 119512932.
Palle, G.; Sunko, D.K. (2021). "Physical Limitations of the Hohenberg–Mermin–Wagner Theorem". Journal of Physics A: Mathematical and Theoretical. 54 (31): 315001. arXiv:2107.09714. Bibcode:2021JPhA...54E5001P. doi:10.1088/1751-8121/ac0a9d. S2CID 235719970.
Jenkins, S.; Rózsa, L.; Atxitia, U.; Evans, R. F. L.; Novoselov, K.; E. J. G., Santos (2022). "Breaking through the Mermin-Wagner limit in 2D van der Waals magnets". Nature Communications. 13 (1): 6917. arXiv:2210.04830. doi:10.1038/s41467-022-34389-0. PMC 9663506. PMID 36376290.
Palle, G.; Sunko, D.K. (2021). "Physical Limitations of the Hohenberg–Mermin–Wagner Theorem". Journal of Physics A: Mathematical and Theoretical. 54 (31): 315001. arXiv:2107.09714. Bibcode:2021JPhA...54E5001P. doi:10.1088/1751-8121/ac0a9d. S2CID 235719970.

doi.org

Halperin, Bertrand I. (2019). "On the Hohenberg–Mermin–Wagner Theorem and Its Limitations". Journal of Statistical Physics. 175 (3–4): 521–529. arXiv:1812.00220. doi:10.1007/s10955-018-2202-y. ISSN 0022-4715.
See Gelfert & Nolting (2001). Gelfert, Axel; Nolting, Wolfgang (2001), "The absence of finite-temperature phase transitions in low-dimensional many-body models: a survey and new results", J. Phys.: Condens. Matter, 13 (27): R505–R524, arXiv:cond-mat/0106090, Bibcode:2001JPCM...13R.505G, doi:10.1088/0953-8984/13/27/201, S2CID 119150988
Bloch, F (1930-02-01). "Zur Theorie des Ferromagnetismus". Zeitschrift für Physik. 61 (3–4): 206–219. Bibcode:1930ZPhy...61..206B. doi:10.1007/bf01339661. S2CID 120459635.
Peierls, R.E. (1934). "Bemerkungen über Umwandlungstemperaturen". Helv. Phys. Acta. 7: 81. doi:10.5169/seals-110415.
Shiba, H.; Yamada, Y.; Kawasaki, T.; Kim, K. (2016). "Unveiling Dimensionality Dependence of Glassy Dynamics: 2D Infinite Fluctuation Eclipses Inherent Structural Relaxation". Physical Review Letters. 117 (24): 245701. arXiv:1510.02546. Bibcode:2016PhRvL.117x5701S. doi:10.1103/PhysRevLett.117.245701. PMID 28009193. S2CID 30893052.
Vivek, S.; Kelleher, C. P.; Chaikin, P. M.; Weeks, E. R. (2017). "Long-wavelength fluctuations and the glass transition in two dimensions and three dimensions". Proceedings of the National Academy of Sciences. 114 (8): 1850–1855. arXiv:1604.07338. Bibcode:2017PNAS..114.1850V. doi:10.1073/pnas.1607226113. PMC 5338427. PMID 28137847.
Illing, B.; Fritschi, S.; Kaiser, H.; Klix, C. L.; Maret, G.; Keim, P. (2017). "Mermin–Wagner fluctuations in 2D amorphous solids". Proceedings of the National Academy of Sciences. 114 (8): 1856–1861. Bibcode:2017PNAS..114.1856I. doi:10.1073/pnas.1612964114. PMC 5338416. PMID 28137872.
Cassi, D. (1992). "Phase transitions and random walks on graphs: A generalization of the Mermin-Wagner theorem to disordered lattices, fractals, and other discrete structures". Physical Review Letters. 68 (24): 3631–3634. Bibcode:1992PhRvL..68.3631C. doi:10.1103/PhysRevLett.68.3631. PMID 10045753.
Merkl, F.; Wagner, H. (1994). "Recurrent random walks and the absence of continuous symmetry breaking on graphs". Journal of Statistical Physics. 75 (1): 153–165. Bibcode:1994JSP....75..153M. doi:10.1007/bf02186284. S2CID 120429502.
Thompson-Flagg, R.C.; Moura, M.J.B; Marder, M. (2009). "Rippling of graphene". EPL. 85 (4): 46002. arXiv:0807.2938. Bibcode:2009EL.....8546002T. doi:10.1209/0295-5075/85/46002. S2CID 119024976.
Halperin, B.I. (2019). "On the Hohenberg–Mermin–Wagner Theorem and Its Limitations". Journal of Statistical Physics. 175 (3–4): 521–529. arXiv:1812.00220. Bibcode:2019JSP...175..521H. doi:10.1007/s10955-018-2202-y. S2CID 119512932.
Palle, G.; Sunko, D.K. (2021). "Physical Limitations of the Hohenberg–Mermin–Wagner Theorem". Journal of Physics A: Mathematical and Theoretical. 54 (31): 315001. arXiv:2107.09714. Bibcode:2021JPhA...54E5001P. doi:10.1088/1751-8121/ac0a9d. S2CID 235719970.
Jenkins, S.; Rózsa, L.; Atxitia, U.; Evans, R. F. L.; Novoselov, K.; E. J. G., Santos (2022). "Breaking through the Mermin-Wagner limit in 2D van der Waals magnets". Nature Communications. 13 (1): 6917. arXiv:2210.04830. doi:10.1038/s41467-022-34389-0. PMC 9663506. PMID 36376290.
Palle, G.; Sunko, D.K. (2021). "Physical Limitations of the Hohenberg–Mermin–Wagner Theorem". Journal of Physics A: Mathematical and Theoretical. 54 (31): 315001. arXiv:2107.09714. Bibcode:2021JPhA...54E5001P. doi:10.1088/1751-8121/ac0a9d. S2CID 235719970.

harvard.edu

ui.adsabs.harvard.edu

See Gelfert & Nolting (2001). Gelfert, Axel; Nolting, Wolfgang (2001), "The absence of finite-temperature phase transitions in low-dimensional many-body models: a survey and new results", J. Phys.: Condens. Matter, 13 (27): R505–R524, arXiv:cond-mat/0106090, Bibcode:2001JPCM...13R.505G, doi:10.1088/0953-8984/13/27/201, S2CID 119150988
Bloch, F (1930-02-01). "Zur Theorie des Ferromagnetismus". Zeitschrift für Physik. 61 (3–4): 206–219. Bibcode:1930ZPhy...61..206B. doi:10.1007/bf01339661. S2CID 120459635.
Shiba, H.; Yamada, Y.; Kawasaki, T.; Kim, K. (2016). "Unveiling Dimensionality Dependence of Glassy Dynamics: 2D Infinite Fluctuation Eclipses Inherent Structural Relaxation". Physical Review Letters. 117 (24): 245701. arXiv:1510.02546. Bibcode:2016PhRvL.117x5701S. doi:10.1103/PhysRevLett.117.245701. PMID 28009193. S2CID 30893052.
Vivek, S.; Kelleher, C. P.; Chaikin, P. M.; Weeks, E. R. (2017). "Long-wavelength fluctuations and the glass transition in two dimensions and three dimensions". Proceedings of the National Academy of Sciences. 114 (8): 1850–1855. arXiv:1604.07338. Bibcode:2017PNAS..114.1850V. doi:10.1073/pnas.1607226113. PMC 5338427. PMID 28137847.
Illing, B.; Fritschi, S.; Kaiser, H.; Klix, C. L.; Maret, G.; Keim, P. (2017). "Mermin–Wagner fluctuations in 2D amorphous solids". Proceedings of the National Academy of Sciences. 114 (8): 1856–1861. Bibcode:2017PNAS..114.1856I. doi:10.1073/pnas.1612964114. PMC 5338416. PMID 28137872.
Cassi, D. (1992). "Phase transitions and random walks on graphs: A generalization of the Mermin-Wagner theorem to disordered lattices, fractals, and other discrete structures". Physical Review Letters. 68 (24): 3631–3634. Bibcode:1992PhRvL..68.3631C. doi:10.1103/PhysRevLett.68.3631. PMID 10045753.
Merkl, F.; Wagner, H. (1994). "Recurrent random walks and the absence of continuous symmetry breaking on graphs". Journal of Statistical Physics. 75 (1): 153–165. Bibcode:1994JSP....75..153M. doi:10.1007/bf02186284. S2CID 120429502.
Thompson-Flagg, R.C.; Moura, M.J.B; Marder, M. (2009). "Rippling of graphene". EPL. 85 (4): 46002. arXiv:0807.2938. Bibcode:2009EL.....8546002T. doi:10.1209/0295-5075/85/46002. S2CID 119024976.
Halperin, B.I. (2019). "On the Hohenberg–Mermin–Wagner Theorem and Its Limitations". Journal of Statistical Physics. 175 (3–4): 521–529. arXiv:1812.00220. Bibcode:2019JSP...175..521H. doi:10.1007/s10955-018-2202-y. S2CID 119512932.
Palle, G.; Sunko, D.K. (2021). "Physical Limitations of the Hohenberg–Mermin–Wagner Theorem". Journal of Physics A: Mathematical and Theoretical. 54 (31): 315001. arXiv:2107.09714. Bibcode:2021JPhA...54E5001P. doi:10.1088/1751-8121/ac0a9d. S2CID 235719970.
Palle, G.; Sunko, D.K. (2021). "Physical Limitations of the Hohenberg–Mermin–Wagner Theorem". Journal of Physics A: Mathematical and Theoretical. 54 (31): 315001. arXiv:2107.09714. Bibcode:2021JPhA...54E5001P. doi:10.1088/1751-8121/ac0a9d. S2CID 235719970.

nih.gov

pubmed.ncbi.nlm.nih.gov

Shiba, H.; Yamada, Y.; Kawasaki, T.; Kim, K. (2016). "Unveiling Dimensionality Dependence of Glassy Dynamics: 2D Infinite Fluctuation Eclipses Inherent Structural Relaxation". Physical Review Letters. 117 (24): 245701. arXiv:1510.02546. Bibcode:2016PhRvL.117x5701S. doi:10.1103/PhysRevLett.117.245701. PMID 28009193. S2CID 30893052.
Vivek, S.; Kelleher, C. P.; Chaikin, P. M.; Weeks, E. R. (2017). "Long-wavelength fluctuations and the glass transition in two dimensions and three dimensions". Proceedings of the National Academy of Sciences. 114 (8): 1850–1855. arXiv:1604.07338. Bibcode:2017PNAS..114.1850V. doi:10.1073/pnas.1607226113. PMC 5338427. PMID 28137847.
Illing, B.; Fritschi, S.; Kaiser, H.; Klix, C. L.; Maret, G.; Keim, P. (2017). "Mermin–Wagner fluctuations in 2D amorphous solids". Proceedings of the National Academy of Sciences. 114 (8): 1856–1861. Bibcode:2017PNAS..114.1856I. doi:10.1073/pnas.1612964114. PMC 5338416. PMID 28137872.
Cassi, D. (1992). "Phase transitions and random walks on graphs: A generalization of the Mermin-Wagner theorem to disordered lattices, fractals, and other discrete structures". Physical Review Letters. 68 (24): 3631–3634. Bibcode:1992PhRvL..68.3631C. doi:10.1103/PhysRevLett.68.3631. PMID 10045753.
Jenkins, S.; Rózsa, L.; Atxitia, U.; Evans, R. F. L.; Novoselov, K.; E. J. G., Santos (2022). "Breaking through the Mermin-Wagner limit in 2D van der Waals magnets". Nature Communications. 13 (1): 6917. arXiv:2210.04830. doi:10.1038/s41467-022-34389-0. PMC 9663506. PMID 36376290.

ncbi.nlm.nih.gov

Vivek, S.; Kelleher, C. P.; Chaikin, P. M.; Weeks, E. R. (2017). "Long-wavelength fluctuations and the glass transition in two dimensions and three dimensions". Proceedings of the National Academy of Sciences. 114 (8): 1850–1855. arXiv:1604.07338. Bibcode:2017PNAS..114.1850V. doi:10.1073/pnas.1607226113. PMC 5338427. PMID 28137847.
Illing, B.; Fritschi, S.; Kaiser, H.; Klix, C. L.; Maret, G.; Keim, P. (2017). "Mermin–Wagner fluctuations in 2D amorphous solids". Proceedings of the National Academy of Sciences. 114 (8): 1856–1861. Bibcode:2017PNAS..114.1856I. doi:10.1073/pnas.1612964114. PMC 5338416. PMID 28137872.
Jenkins, S.; Rózsa, L.; Atxitia, U.; Evans, R. F. L.; Novoselov, K.; E. J. G., Santos (2022). "Breaking through the Mermin-Wagner limit in 2D van der Waals magnets". Nature Communications. 13 (1): 6917. arXiv:2210.04830. doi:10.1038/s41467-022-34389-0. PMC 9663506. PMID 36376290.

semanticscholar.org

api.semanticscholar.org

See Gelfert & Nolting (2001). Gelfert, Axel; Nolting, Wolfgang (2001), "The absence of finite-temperature phase transitions in low-dimensional many-body models: a survey and new results", J. Phys.: Condens. Matter, 13 (27): R505–R524, arXiv:cond-mat/0106090, Bibcode:2001JPCM...13R.505G, doi:10.1088/0953-8984/13/27/201, S2CID 119150988
Bloch, F (1930-02-01). "Zur Theorie des Ferromagnetismus". Zeitschrift für Physik. 61 (3–4): 206–219. Bibcode:1930ZPhy...61..206B. doi:10.1007/bf01339661. S2CID 120459635.
Shiba, H.; Yamada, Y.; Kawasaki, T.; Kim, K. (2016). "Unveiling Dimensionality Dependence of Glassy Dynamics: 2D Infinite Fluctuation Eclipses Inherent Structural Relaxation". Physical Review Letters. 117 (24): 245701. arXiv:1510.02546. Bibcode:2016PhRvL.117x5701S. doi:10.1103/PhysRevLett.117.245701. PMID 28009193. S2CID 30893052.
Merkl, F.; Wagner, H. (1994). "Recurrent random walks and the absence of continuous symmetry breaking on graphs". Journal of Statistical Physics. 75 (1): 153–165. Bibcode:1994JSP....75..153M. doi:10.1007/bf02186284. S2CID 120429502.
Thompson-Flagg, R.C.; Moura, M.J.B; Marder, M. (2009). "Rippling of graphene". EPL. 85 (4): 46002. arXiv:0807.2938. Bibcode:2009EL.....8546002T. doi:10.1209/0295-5075/85/46002. S2CID 119024976.
Halperin, B.I. (2019). "On the Hohenberg–Mermin–Wagner Theorem and Its Limitations". Journal of Statistical Physics. 175 (3–4): 521–529. arXiv:1812.00220. Bibcode:2019JSP...175..521H. doi:10.1007/s10955-018-2202-y. S2CID 119512932.
Palle, G.; Sunko, D.K. (2021). "Physical Limitations of the Hohenberg–Mermin–Wagner Theorem". Journal of Physics A: Mathematical and Theoretical. 54 (31): 315001. arXiv:2107.09714. Bibcode:2021JPhA...54E5001P. doi:10.1088/1751-8121/ac0a9d. S2CID 235719970.
Palle, G.; Sunko, D.K. (2021). "Physical Limitations of the Hohenberg–Mermin–Wagner Theorem". Journal of Physics A: Mathematical and Theoretical. 54 (31): 315001. arXiv:2107.09714. Bibcode:2021JPhA...54E5001P. doi:10.1088/1751-8121/ac0a9d. S2CID 235719970.

springer.com

link.springer.com

Halperin, Bertrand I. (2019). "On the Hohenberg–Mermin–Wagner Theorem and Its Limitations". Journal of Statistical Physics. 175 (3–4): 521–529. arXiv:1812.00220. doi:10.1007/s10955-018-2202-y. ISSN 0022-4715.

worldcat.org

search.worldcat.org

Halperin, Bertrand I. (2019). "On the Hohenberg–Mermin–Wagner Theorem and Its Limitations". Journal of Statistical Physics. 175 (3–4): 521–529. arXiv:1812.00220. doi:10.1007/s10955-018-2202-y. ISSN 0022-4715.