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Title: Critical behavior of quasi-two-dimensional semiconducting ferromagnet Cr 2 Ge 2 Te 6

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:
 [1];  [1]
  1. 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}
}

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