Analytical Descriptions of Magnetic Properties and Magnetoresistance in n-Type HgCr$_2$Se$_4$
Chao-Jing Lin, You-Guo Shi, Yong-Qing Li**
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190
Abstract ：We present a detailed investigation of magnetic properties of colossal magnetoresistance material HgCr$_2$Se$_4$. While spontaneous magnetization and zero-field magnetic susceptibility are found to follow asymptotic scaling laws for a narrow range of temperatures near the critical point, two methods with connections to the renormalization group theory provide analytical descriptions of the magnetic properties for much wider temperature ranges. Based on this, an analytical formula is obtained for the temperature dependence of the low field magnetoresistance in the paramagnetic phase.
收稿日期: 2016-04-07
出版日期: 2016-08-01
:
75.50.Pp
(Magnetic semiconductors)
75.60.Ej
(Magnetization curves, hysteresis, Barkhausen and related effects)
75.40.Cx
(Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.))
75.10.-b
(General theory and models of magnetic ordering)
[1] Coey J M D, Viret M and von Molnár S 1999 Adv. Phys. 48 167 [2] Dagotto E, Hotta T and Moreo A 2001 Phys. Rep. 344 1 [3] Salamon M B and Jaime M 2001 Rev. Mod. Phys. 73 583 [4] Jin S, Tiefel T H, McCormack M, Fastnacht R A, Ramesh R and Chen L H 1994 Science 264 413 [5] Das P, Amyan A, Brandenburg J, Müller J, Xiong P, von Molnár S and Fisk Z 2012 Phys. Rev. B 86 184425 [6] Ramirez A P and Subramanian M A 1997 Science 277 546 [7] Liu Y K, Yin Y W and Li X G 2013 Chin. Phys. B 22 087502 [8] Gartenhaus S and McCullough W S 1987 Phys. Rev. B 35 3299 [9] Burnett S S C and Gartenhaus S 1991 Phys. Rev. B 43 591 [10] Baltzer P K, Lehmann H W and Robbins M 1966 Phys. Rev. 151 367 [11] Lin C J, Yi C J, Shi Y G, Zhang L, Zhang G M, Müller J and Li Y Q 2016 Phys. Rev. Lett. (Submitted) [12] Guan T, Lin C J, Yang C L, Shi Y G, Ren C, Li Y Q, Weng H M, Dai X, Fang Z, Yan S S and Xiong P 2015 Phys. Rev. Lett. 115 087002 [13] De J M, Ibarra M R, Algarabel P A, Ritter C, Marquina C, Blasco J, García J, Moral A D and Arnold Z 1997 Nature 386 256 [14] Xu G, Weng H M, Wang Z J, Dai X and Fang Z 2011 Phys. Rev. Lett. 107 186806 [15] Wang W D, Li A, Dong T, Lei M, Fu X L, Miao S S, Zheng P, Wang P, Shi Y G, Luo J L and Wang N L 2013 J. Low Temp. Phys. 171 127 [16] Tsurkan V, Ehlers D, Felea V, Krug von Nidda H A and Loidl A 2013 Phys. Rev. B 88 144417 [17] Arrott A 1957 Phys. Rev. 108 1394 [18] Fisher M E 1967 Rep. Prog. Phys. 30 615 [19] Stanley H E 1971 Introduction to Phase Transitions and Critical Phenomena (London: Oxford University Press) [20] Fan J, Ling L, Hong B, Zhang L, Pi L and Zhang Y 2010 Phys. Rev. B 81 144426 [21] Zhang L, Fan J Y, Li L, Li R W, Ling L S, Qu Z, Tong W, Tan S and Zhang Y H 2010 Europhys. Lett. 91 57001 [22] Wilson K G 1971 Phys. Rev. B 4 3174 [23] Wegner F J 1972 Phys. Rev. B 5 4529 [24] Le Guillou J C and Justin J Z 1980 Phys. Rev. B 21 3976 [25] Gartenhaus S 1981 Phys. Rev. B 23 4541 [26] Aharony A and Fisher M E 1980 Phys. Rev. Lett. 45 679
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
.
[7]
.
[8]
.
[9]
.
[10]
.
[11]
.
[12]
.
[13]
.
[14]
.
[15]
.
2016, Vol. 33 
