Critical behavior of quasi-two-dimensional semiconducting ferromagnet
Abstract
Some critical properties of the single-crystalline semiconducting ferromagnet Cr 2 Ge 2 Te 6 were investigated by bulk dc magnetization around the paramagnetic to ferromagnetic phase transition. Critical exponents β = 0.200 ± 0.003 with a critical temperature T c = 62.65 ± 0.07 K and γ = 1.28 ± 0.03 with T c = 62.75 ± 0.06 K are obtained by the Kouvel-Fisher method whereas δ = 7.96 ± 0.01 is obtained by a critical isotherm analysis at T c = 62.7 K. These critical exponents obey the Widom scaling relation δ = 1 + γ / β , indicating self-consistency of the obtained values. Furthermore, with these critical exponents the isotherm M ( H ) curves below and above the critical temperatures collapse into two independent universal branches, obeying the single scaling equation m = f ± ( h ) , where m and h are renormalized magnetization and field, respectively. The determined exponents match well with those calculated from the results of the renormalization group approach for a two-dimensional Ising system coupled with a long-range interaction between spins decaying as J ( r ) ≈ r - ( d + σ ) with σ = 1.52 .
- Authors:
-
- Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Dept.
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1412649
- Alternate Identifier(s):
- OSTI ID: 1373954
- Report Number(s):
- BNL-114365-2017-JA
Journal ID: ISSN 2469-9950; PRBMDO; R&D Project: PM016; KC0201050; TRN: US1800316
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 5; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Liu, Yu, and Petrovic, C. Critical behavior of quasi-two-dimensional semiconducting ferromagnet Cr2Ge2Te6. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.96.054406.
Liu, Yu, & Petrovic, C. Critical behavior of quasi-two-dimensional semiconducting ferromagnet Cr2Ge2Te6. United States. https://doi.org/10.1103/PhysRevB.96.054406
Liu, Yu, and Petrovic, C. Thu .
"Critical behavior of quasi-two-dimensional semiconducting ferromagnet Cr2Ge2Te6". United States. https://doi.org/10.1103/PhysRevB.96.054406. https://www.osti.gov/servlets/purl/1412649.
@article{osti_1412649,
title = {Critical behavior of quasi-two-dimensional semiconducting ferromagnet Cr2Ge2Te6},
author = {Liu, Yu and Petrovic, C.},
abstractNote = {Some critical properties of the single-crystalline semiconducting ferromagnet Cr 2 Ge 2 Te 6 were investigated by bulk dc magnetization around the paramagnetic to ferromagnetic phase transition. Critical exponents β = 0.200 ± 0.003 with a critical temperature T c = 62.65 ± 0.07 K and γ = 1.28 ± 0.03 with T c = 62.75 ± 0.06 K are obtained by the Kouvel-Fisher method whereas δ = 7.96 ± 0.01 is obtained by a critical isotherm analysis at T c = 62.7 K. These critical exponents obey the Widom scaling relation δ = 1 + γ / β , indicating self-consistency of the obtained values. Furthermore, with these critical exponents the isotherm M ( H ) curves below and above the critical temperatures collapse into two independent universal branches, obeying the single scaling equation m = f ± ( h ) , where m and h are renormalized magnetization and field, respectively. The determined exponents match well with those calculated from the results of the renormalization group approach for a two-dimensional Ising system coupled with a long-range interaction between spins decaying as J ( r ) ≈ r - ( d + σ ) with σ = 1.52 .},
doi = {10.1103/PhysRevB.96.054406},
journal = {Physical Review B},
number = 5,
volume = 96,
place = {United States},
year = {Thu Aug 03 00:00:00 EDT 2017},
month = {Thu Aug 03 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Critical exponents from field theory
journal, May 1980
- Le Guillou, J. C.; Zinn-Justin, J.
- Physical Review B, Vol. 21, Issue 9
Detailed Magnetic Behavior of Nickel Near its Curie Point
journal, December 1964
- Kouvel, James S.; Fisher, Michael E.
- Physical Review, Vol. 136, Issue 6A
Ferromagnetic two-dimensional crystals: Single layers of K CuF
journal, November 2013
- Sachs, B.; Wehling, T. O.; Novoselov, K. S.
- Physical Review B, Vol. 88, Issue 20
Band Structure Calculations of Ferromagnetic Chromium Tellurides CrSiTe 3 and CrGeTe 3
journal, January 1996
- Siberchicot, B.; Jobic, S.; Carteaux, V.
- The Journal of Physical Chemistry, Vol. 100, Issue 14
Discovery of intrinsic ferromagnetism in two-dimensional van der Waals crystals
journal, April 2017
- Gong, Cheng; Li, Lin; Li, Zhenglu
- Nature, Vol. 546, Issue 7657
A Genuine Two-Dimensional Ising Ferromagnet with Magnetically Driven Re-entrant Transition
journal, October 2012
- Kabbour, Houria; David, Rénald; Pautrat, Alain
- Angewandte Chemie International Edition, Vol. 51, Issue 47
Magnetic structure of the new layered ferromagnetic chromium hexatellurosilicate Cr2Si2Te6
journal, March 1991
- Carteaux, V.; Ouvrard, G.; Grenier, J. C.
- Journal of Magnetism and Magnetic Materials, Vol. 94, Issue 1-2
Critical magnetic properties of disordered polycrystalline and alloys
journal, January 2002
- Fischer, S. F.; Kaul, S. N.; Kronmüller, H.
- Physical Review B, Vol. 65, Issue 6
Critical Exponents for Long-Range Interactions
journal, October 1972
- Fisher, Michael E.; Ma, Shang-keng; Nickel, B. G.
- Physical Review Letters, Vol. 29, Issue 14
Approximate Equation of State For Nickel Near its Critical Temperature
journal, October 1967
- Arrott, Anthony; Noakes, John E.
- Physical Review Letters, Vol. 19, Issue 14
Magnetic correlations in the quasi-two-dimensional semiconducting ferromagnet
journal, October 2015
- Williams, T. J.; Aczel, A. A.; Lumsden, M. D.
- Physical Review B, Vol. 92, Issue 14
Magnetic anisotropy of the single-crystalline ferromagnetic insulator Cr 2 Ge 2 Te 6
journal, February 2016
- Zhang, Xiao; Zhao, Yuelei; Song, Qi
- Japanese Journal of Applied Physics, Vol. 55, Issue 3
Van der Waals heterostructures
journal, July 2013
- Geim, A. K.; Grigorieva, I. V.
- Nature, Vol. 499, Issue 7459, p. 419-425
Critical behavior of the quasi-two-dimensional semiconducting ferromagnet CrSiTe3
journal, September 2016
- Liu, Bingjie; Zou, Youming; Zhang, Lei
- Scientific Reports, Vol. 6, Issue 1
Electronics and optoelectronics of two-dimensional transition metal dichalcogenides
journal, November 2012
- Wang, Qing Hua; Kalantar-Zadeh, Kourosh; Kis, Andras
- Nature Nanotechnology, Vol. 7, Issue 11, p. 699-712
Coupling of Crystal Structure and Magnetism in the Layered, Ferromagnetic Insulator CrI 3
journal, January 2015
- McGuire, Michael A.; Dixit, Hemant; Cooper, Valentino R.
- Chemistry of Materials, Vol. 27, Issue 2
2D Ising-Like Ferromagnetic Behaviour for the Lamellar Cr 2 Si 2 Te 6 Compound: A Neutron Scattering Investigation
journal, January 1995
- Carteaux, V.; Moussa, F.; Spiesser, M.
- Europhysics Letters (EPL), Vol. 29, Issue 3
Flux States and Topological Phases from Spontaneous Time-Reversal Symmetry Breaking in -Based Systems
journal, December 2016
- Liu, Jianpeng; Park, Se Young; Garrity, Kevin F.
- Physical Review Letters, Vol. 117, Issue 25
Magnetic ground state of semiconducting transition-metal trichalcogenide monolayers
journal, June 2015
- Sivadas, Nikhil; Daniels, Matthew W.; Swendsen, Robert H.
- Physical Review B, Vol. 91, Issue 23
Crystallographic, magnetic and electronic structures of a new layered ferromagnetic compound Cr 2 Ge 2 Te 6
journal, January 1995
- Carteaux, V.; Brunet, D.; Ouvrard, G.
- Journal of Physics: Condensed Matter, Vol. 7, Issue 1
Synthesis and crystal structure of a new layered phase: The chromium hexatellurosilicate Cr2Si2Te6
journal, March 1988
- Ouvrard, G.; Sandre, E.; Brec, R.
- Journal of Solid State Chemistry, Vol. 73, Issue 1
Ultrathin nanosheets of CrSiTe 3 : a semiconducting two-dimensional ferromagnetic material
journal, January 2016
- Lin, Ming-Wei; Zhuang, Houlong L.; Yan, Jiaqiang
- Journal of Materials Chemistry C, Vol. 4, Issue 2
On a generalised approach to first and second order magnetic transitions
journal, September 1964
- Banerjee, B. K.
- Physics Letters, Vol. 12, Issue 1
The theory of equilibrium critical phenomena
journal, July 1967
- Fisher, M. E.
- Reports on Progress in Physics, Vol. 30, Issue 2
Criterion for Ferromagnetism from Observations of Magnetic Isotherms
journal, December 1957
- Arrott, Anthony
- Physical Review, Vol. 108, Issue 6
Computational discovery of ferromagnetic semiconducting single-layer
journal, July 2015
- Zhuang, Houlong L.; Xie, Yu; Kent, P. R. C.
- Physical Review B, Vol. 92, Issue 3
Critical behavior at paramagnetic to ferromagnetic phase transition in : A bulk magnetization study
journal, June 2009
- Pramanik, A. K.; Banerjee, A.
- Physical Review B, Vol. 79, Issue 21
Strong spin-lattice coupling in CrSiTe 3
journal, April 2015
- Casto, L. D.; Clune, A. J.; Yokosuk, M. O.
- APL Materials, Vol. 3, Issue 4
Strain-engineering of magnetic coupling in two-dimensional magnetic semiconductor CrSiTe3: Competition of direct exchange interaction and superexchange interaction
journal, January 2015
- Chen, Xiaofang; Qi, Jingshan; Shi, Daning
- Physics Letters A, Vol. 379, Issue 1-2
Magnetic Properties of K 2 CuF 4 –A Transparent Two-Dimensional Ferromagnet–
journal, October 1972
- Yamada, Isao
- Journal of the Physical Society of Japan, Vol. 33, Issue 4
A ferromagnetic insulating substrate for the epitaxial growth of topological insulators
journal, September 2013
- Ji, Huiwen; Stokes, R. A.; Alegria, L. D.
- Journal of Applied Physics, Vol. 114, Issue 11
The theory of equilibrium critical phenomena
journal, January 1968
- Fisher, M. E.
- Reports on Progress in Physics, Vol. 31, Issue 1
Discovery of Intrinsic Ferromagnetism in Two-Dimensional van der Waals Crystals
conference, January 2017
- Gong, Cheng; Li, Lin; Li, Zhenglu
- CLEO: Applications and Technology, Conference on Lasers and Electro-Optics
A Genuine Two-Dimensional Ising Ferromagnet with Magnetically Driven Re-entrant Transition
journal, October 2012
- Kabbour, Houria; David, Rénald; Pautrat, Alain
- Angewandte Chemie, Vol. 124, Issue 47
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
journal, December 1966
- Mermin, N. D.; Wagner, H.
- Physical Review Letters, Vol. 17, Issue 26
Magnetic ground state of semiconducting transition metal trichalcogenide monolayers
text, January 2015
- Sivadas, Nikhil; Daniels, Matthew W.; Swendsen, Robert
- Carnegie Mellon University
Magnetic ground state of semiconducting transition metal trichalcogenide monolayers
text, January 2015
- Sivadas, Nikhil; Daniels, Matthew W.; Swendsen, Robert H.
- arXiv
Works referencing / citing this record:
Thickness-dependent magnetic order in CrI3 single crystals
journal, September 2019
- Liu, Yu; Wu, Lijun; Tong, Xiao
- Scientific Reports, Vol. 9, Issue 1
Realization of an excellent two-dimensional Heisenberg ferromagnetic system: the synthesis, structure, and thermodynamic properties of piperazinediium tetrabromocuprate
journal, January 2019
- Pan, Bingying; Qiu, Jiaxi; Pan, Binglin
- Journal of Materials Chemistry C, Vol. 7, Issue 29
Understanding CrGeTe 3 : an abnormal phase change material with inverse resistance and density contrast
journal, January 2019
- Xu, Meng; Guo, Yanrong; Yu, Zhenhai
- Journal of Materials Chemistry C, Vol. 7, Issue 29
Critical behavior of two-dimensional intrinsically ferromagnetic semiconductor CrI 3
journal, February 2018
- Lin, G. T.; Luo, X.; Chen, F. C.
- Applied Physics Letters, Vol. 112, Issue 7
Magnetic and electronic properties of Cr 2 Ge 2 Te 6 monolayer by strain and electric-field engineering
journal, March 2019
- Wang, Kangying; Hu, Tao; Jia, Fanhao
- Applied Physics Letters, Vol. 114, Issue 9
Increased Curie temperature and enhanced perpendicular magneto anisotropy of Cr 2 Ge 2 Te 6 /NiO heterostructures
journal, December 2019
- Idzuchi, H.; Llacsahuanga Allcca, A. E.; Pan, X. C.
- Applied Physics Letters, Vol. 115, Issue 23
Anisotropic magnetoresistance behaviors in the layered ferromagnetic Cr 2 Ge 2 Te 6
journal, October 2019
- Liu, Wei; Wang, Yamei; Han, Yuyan
- Journal of Physics D: Applied Physics, Vol. 53, Issue 2
Ultrasensitive negative photoresponse in 2D Cr 2 Ge 2 Te 6 photodetector with light-induced carrier trapping
journal, September 2018
- Xie, Liu; Guo, Lei; Yu, Wenzhi
- Nanotechnology, Vol. 29, Issue 46
Electrically tunable exchange splitting in bilayer graphene on monolayer Cr 2 X 2 Te 6 with X = Ge, Si, and Sn
journal, July 2018
- Zollner, Klaus; Gmitra, Martin; Fabian, Jaroslav
- New Journal of Physics, Vol. 20, Issue 7
The dependence of fractal figures formed in irradiated germanium on temperature and composition
journal, December 2019
- El-Sayed, Samy A.
- Materials Research Express, Vol. 6, Issue 12
Magnetic anisotropy and spin-polarized two-dimensional electron gas in the van der Waals ferromagnet
journal, April 2019
- Zeisner, J.; Alfonsov, A.; Selter, S.
- Physical Review B, Vol. 99, Issue 16
Thickness-dependent magnetic order in CrI$_3$ single crystals
text, January 2019
- Liu, Yu; Wu, Lijun; Tong, Xiao
- arXiv
Increased Curie temperature and enhanced perpendicular magneto anisotropy of Cr2Ge2Te6/NiO heterostructure
text, January 2019
- Idzuchi, H.; Allcca, A. E. Llacsahuanga; Pan, X. C.
- arXiv