Critical behavior of quasitwodimensional semiconducting ferromagnet ${\mathrm{Cr}}_{2}{\mathrm{Ge}}_{2}{\mathrm{Te}}_{6}$
Abstract
Some critical properties of the singlecrystalline 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 KouvelFisher 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 selfconsistency 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 twodimensional Ising system coupled with a longrange 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) (SC22)
 OSTI Identifier:
 1412649
 Alternate Identifier(s):
 OSTI ID: 1373954
 Report Number(s):
 BNL1143652017JA
Journal ID: ISSN 24699950; 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 24699950
 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 quasitwodimensional semiconducting ferromagnet Cr2Ge2Te6. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.96.054406.
Liu, Yu, & Petrovic, C. Critical behavior of quasitwodimensional semiconducting ferromagnet Cr2Ge2Te6. United States. doi:10.1103/PhysRevB.96.054406.
Liu, Yu, and Petrovic, C. Thu .
"Critical behavior of quasitwodimensional semiconducting ferromagnet Cr2Ge2Te6". United States. doi:10.1103/PhysRevB.96.054406. https://www.osti.gov/servlets/purl/1412649.
@article{osti_1412649,
title = {Critical behavior of quasitwodimensional semiconducting ferromagnet Cr2Ge2Te6},
author = {Liu, Yu and Petrovic, C.},
abstractNote = {Some critical properties of the singlecrystalline 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 KouvelFisher 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 selfconsistency 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 twodimensional Ising system coupled with a longrange 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 = {2017},
month = {8}
}
Web of Science
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