Magnetic Order in Heisenberg Models on Non-Bravais Lattice: Popov-Fedotov Functional Method

Pham Thi Thanh Nga, Nguyen Toan Thang
Author affiliations

Authors

  • Pham Thi Thanh Nga Thuy loi University, 175 Tay Son, Hanoi
  • Nguyen Toan Thang Institute of Physics, VAST

DOI:

https://doi.org/10.15625/0868-3166/29/2/13508

Keywords:

Popov - Fedotov trick, functional integral, Heisenberg model, non-Bravais lattice

Abstract

We study magnetic properties of ordered phase in Heisenberg model on a non-Bravais lattice by means of Popov - Fedotov trick, which takes into account a rigorous constraint of a single occupancy. We derive magnetization and free energy using sadle point approximation in the functional integral formalism. We illustrate the application of the Popov -- Fedotov approach to the Heisenberg antiferromagnet on a honeycomb lattice.

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References

A. Auerbach, Interacting electrons and quantum magnetism, Springer Verlag (1994)

Yu.A. Izyumov and Y.N. Skryabin, Statistical Mechanics of Magnetically Ordered Systems, Springer Verlag (1988)

E. Fradkin, Field theories of condensed matter systems, Addison-Wesley Publishing Company (1991)

D.P. Arovas and A. Auerbach, Phys. Rev B 38, p.316 (1988)

V.N. Popov and S. A. Fedotov, Sov. Phys. JETP 67 535 (1988)

O.Veits, et al, J. France 4 493 (1994)

M.N. Kicelev, Int. J. Mod. Phys B 20 381 (2006)

S.A. Kulagin et al, Phys. Rev. Lett. 110 070601 (2013)

N.V.Prokof’ev and B. Svistunov, Phys. Rev. B 84 073102 (2011)

J. Carlstrom, J. Phys.: Condens. Matter 29 385602 (2017)

S. Tejima and A. Oguchi, J. Phys. Soc. Jpn. 64 4923 (1995)

S. Azakov et al, Int. J. Mod. Phys. B 14 13 (2000)

R. Dillenschneider and J. Richert, Eur. Phys. J. B 49 187 (2006)

Pham Thi Thanh Nga and Nguyen Toan Thang, Comm. in Phys. 22 33 (2012); Comm. in Phys. 22 383 Erratum (2012)

J. Stein and R. Oppermann, Phys. Rev. B 46 8409 (1992)

M. Bechmann and R. Oppermann, Eur. Rev. B 41 525 (2004)

M.N. Kiselev and R. Oppermann, Sov. Phys. JETP Letters 71 250 (2000)

H. T. Diep (Ed.), Frustrated Spin Systems, 2nd ed. World Scientific, Singapore, 2013

R. F. Bishop et al, Phys. Rev. B 82 024416 (2010)

R. F. Bishop et al, Phys. Rev. B 88 214418 (2013)

P.H. Li et al, J. Phys: Conf. Series 529 012008 (2014)

P.H. Li et al, Phys. Rev. B 88 144423 (2013)

S.S. Pershoguba et al, Phys. Rev. X 8 011010 (2018)

J. Fransson et al, Phys. Rev. B 94 075401 (2016)

S.A. Owerre, J. Phys.: Condens. Matter 30 245803 (2018)

S.J. Miyake, J. Phys. Soc. Jpn. 91 938 (1992)

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Published

14-05-2019

How to Cite

[1]
P. T. T. Nga and N. T. Thang, “Magnetic Order in Heisenberg Models on Non-Bravais Lattice: Popov-Fedotov Functional Method”, Comm. Phys., vol. 29, no. 2, p. 119, May 2019.

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Section

Papers
Received 27-12-2018
Accepted 03-04-2019
Published 14-05-2019

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