Skip to main content

Part of the book series: Springer Theses ((Springer Theses))

Abstract

The summary of this thesis, as well as several relevant but unresolved topics for the future study, are provided. In this thesis, we investigated the magnetoelectric response in two typical forms of frustrated spin systems; triangular lattice antiferromagnets and S = 1/2 chain helimagnets. Our results reveal that frustrated magnets can host unique magnetoelectric response (such as non-volatile multiple-valued switching of electric polarization direction by magnetic field or ultrafast control of magnetism by electric field) much more ubiquitously than originally believed, and offer some additional guideline for the material design of such multiferroics compounds. The strong magnetoelectric coupling in magnetically-induced ferroelectrics should also provide many interesting features to various type of topological defects such as domain wall or magnetic vortex; The future investigation of their properties would be very promising.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Arima T (2007) Ferroelectricity induced by proper-screw type magnetic order. J Phys Soc Jpn 76:073702

    Article  ADS  Google Scholar 

  2. Jia C, Onoda S, Nagaosa N, Han JH (2006) Bond electronic polarization induced by spin. Phys Rev B 74:224444

    Article  ADS  Google Scholar 

  3. Masuda T, Zheludev A, Bush A, Markina M, Vasiliev A (2004) Competition between helimagnetism and commensurate quantum spin correlations in LiCu\(_2\)O\(_2\). Phys Rev Lett 92:177201

    Article  ADS  Google Scholar 

  4. Schrettle F, Krohns S, Lunkenheimer P, Hemberger J, Büttgen N, Krug von Nidda H-A, Prokofiev AV, Loidl A (2008) Switching the ferroelectric polarization in the \(S=1/2\) chain cuprate LiCuVO\(_4\) by external magnetic fields. Phys Rev B 77:144101

    Article  ADS  Google Scholar 

  5. Yasui Y, Naito Y, Sato K, Moyoshi T, Sato M, Kakurai K (2008) Relationship between magnetic structure and ferroelectricity of LiVCuO\(_4\). J Phys Soc Jpn 77:023712

    Article  ADS  Google Scholar 

  6. Kawamura H, Miyashita S (1984) Phase transition of the two-dimensional heisenberg antiferromagnet on the triangular lattice. J Phys Soc Jpn 53:9

    Article  ADS  Google Scholar 

  7. Kawamura H, Miyashita S (1984) Phase transition of the two-dimensional heisenberg antiferromagnet on the triangular lattice. J Phys Soc Jpn 53:4138

    Article  ADS  Google Scholar 

  8. Seidel J, Martin LW, He Q, Zhan Q, Chu Y-H, Rother A, Hawkridge ME, Maksymovych P, Yu P, Gajek M, Balke N, Kalinin SV, Gemming S, Wang F, Catalan G, Scott JF, Spaldin NA, Prenstein J, Ramesh R (2009) Conduction at domain walls in oxide multiferroics. Nat Mater 8:229

    Article  ADS  Google Scholar 

  9. Daraktchiev M, Catalan G, Scott JF (2008) Landau theory of ferroelectric domain walls in magnetoelectrics. Ferroelectrics 375:122

    Article  Google Scholar 

  10. Jia C, Onoda S, Nagaosa N, Han JH (2007) Microscopic theory of spin-polarization coupling in multiferroic transition metal oxides. Phys Rev B 76:144424

    Article  ADS  Google Scholar 

  11. Kadowaki H, Ubukoshi K, Hirakawa K, Martinez JL, Shirane G (1987) Experimental study of new type phase transition in triangular lattice antiferromagnet VCl\(_2\). J Phys Soc Jpn 56:4027

    Article  ADS  Google Scholar 

  12. Kadowaki H, Ubukoshi K, Hirakawa K (1985) Neutron scattering study of the triangular-lattice antiferromagnet VBr\(_2\). J Phys Soc Jpn 54:363

    Article  ADS  Google Scholar 

  13. Hirakawa K, Kadowaki H, Ubukoshi K (1983) Study of frustration effects in two-dimensional triangular lattice antiferromagnets : neutron powder diffraction study of V\(X_2\), \(X\) = Cl, Br and I. J Phys Soc Jpn 52:1814

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shinichiro Seki .

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer Japan

About this chapter

Cite this chapter

Seki, S. (2012). Summary. In: Magnetoelectric Response in Low-Dimensional Frustrated Spin Systems. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54091-5_5

Download citation

Publish with us

Policies and ethics