Rigorous studies on magnetic susceptibilities of a defective finite Ising chain

2014 ◽  
Vol 92 (6) ◽  
pp. 539-544
Author(s):  
Yan Qi ◽  
An Du
Keyword(s):  
Exact Solution ◽  
Magnetic Susceptibility ◽  
Low Temperatures ◽  
Temperature Limit ◽  
Magnetic Impurities ◽  
Zero Temperature ◽  
Ising Chain ◽  
Intrinsic Properties ◽  
Thermal Dependence ◽  
Magnetic Susceptibilities

Exact solution of the magnetic susceptibility for an S = 1/2 defective finite Ising chain is obtained by employing the transfer matrix method. The thermal dependence of susceptibility multiplied by temperature for the chain coupled to different magnetic impurities is investigated at all T ≥ 0. The results show that in the zero temperature limit the product of these two quantities equals the square of the net spin, demonstrating that Curie’s constants are truly invariant at low temperatures. The intrinsic properties of net spin are also reflected through their different responses to the parity of chain length at low temperature. In addition, the impacts of various host–impurity couplings as well as single-ion anisotropies on the susceptibility are discussed as well.

The Dependence of Magnetic Moments on Magnetic Impurities of Ni in Eu1.86Ce0.14Cu1-yNiyO4+a-d

2020 ◽  
Vol 860 ◽  
pp. 148-153
Author(s):  
Muhammad Abdan Syakuur ◽  
Yati Maryati ◽  
Utami Widyaiswari ◽  
Dita Puspita Sari ◽  
Togar Saragi ◽  
...  
Keyword(s):  
Magnetic Susceptibility ◽  
Low Temperatures ◽  
Unit Volume ◽  
Magnetic Impurity ◽  
Magnetic Moments ◽  
Magnetic Impurities ◽  
Superconducting Cuprates ◽  
Susceptibility Data ◽  
Diamagnetic Behavior ◽  
Volume Unit

The partially substitution of magnetic impurity Ni for Cu in electron-doped superconducting cuprates of Eu2-xCexCu1-yNiyO4+a-d with x = 0.14 and y = 0, 0.01 and 0.02 has been studied in order to investigate the effect of Ni impurity on structure and the value of magnetic moments per unit volume extracted from susceptibility data in under-doped region. Magnetic-susceptibility measurements were carried out at low temperatures down to 2 K. For sample with y = 0, diamagnetic behavior is observed starting from about 9 K. The superconductivity disappeared at y ³ 0.01. The values of magnetic moment in every volume unit decreased with increasing Ni.

CALCULATION OF DYNAMICAL MAGNETIC SUSCEPTIBILITIES OF TRANSITION METAL ELEMENTS AND ORDERED COMPOUNDS

1993 ◽  
Vol 07 (01n03) ◽  
pp. 760-764 ◽  
Author(s):  
G.J. McMULLAN
Keyword(s):  
Density Functional Theory ◽  
Magnetic Susceptibility ◽  
Low Temperatures ◽  
Density Functional ◽  
Molecular Field ◽  
Field Parameter ◽  
Scattering Data ◽  
Functional Theory ◽  
Magnetic Susceptibilities ◽  
Lindhard Function

The dynamical magnetic susceptibility χ(q, ω) may be modelled in terms of a band Lindhard function χo(q, ω) and a generalised molecular field parameter λ(q, ω). Comparison of χo(q, ω) calculated within density functional theory and information on χ(q, ω) inferred from neutron scattering data in nearly magnetic metals suggests that at low temperatures it is possible to understand the main features of χ(q, ω) at small ω near the ordering wavevector in terms of the Lindhard function and a qand ω independent molecular field parameter.

scholarly journals The exact solution of magnetic susceptibility for finite Ising ring with a magnetic impurity

2021 ◽  
Author(s):  
Dacheng Ma ◽  
Yan Qi ◽  
An Du
Keyword(s):  
Magnetic Susceptibility ◽  
High Temperature ◽  
Ground State ◽  
Magnetic Impurity ◽  
Temperature Limit ◽  
Zero Temperature ◽  
Curie Constant ◽  
State Entropy ◽  
High Temperature Limit ◽  
Ground State Entropy

We connected the two ends of a finite spin-1/2 antiferromagnetic Ising chain with a magnetic impurity at one end to form a closed ring, and studied the magnetic susceptibility of it exactly by using the transfer matrix method. We calculated the magnetic susceptibility in the whole temperature range and gave the phase diagram at ground state of the system about the anisotropy of the impurity and strength of the connection exchange interaction for spin-1 and 3/2 impurities. We also gave the ground state entropy of system and derived the asymptotic expression of the magnetic susceptibility multiplied by temperature at zero temperature limit and high temperature limit. It is found that degenerate phase may exist in some parameter region at zero temperature for the spin number of system being odd, and the ground state entropy is ln⁡(2) in the nondegenerate phase and is dependent on the number of spin in the degenerate phase. The magnetic susceptibility of the system at low temperature exhibits ferromagnetic behavior, and the Curie constant is related to the spin configuration at ground state. When the ground state is nondegenerate, the Curie constant is equal to the square of the net spin, regardless of the parity of the number of the spin. When the number of spin is odd and the ground state is degenerate, the Curie constant may be related to the total number of spin. In high temperature limit, the magnetic susceptibility multiplied by temperature is related to the spin quantum number of impurity and the number of spin in the ring.

scholarly journals Dissipation of Quantum Turbulence in the Zero Temperature Limit

2007 ◽  
Vol 99 (26) ◽  
Author(s):  
P. M. Walmsley ◽  
A. I. Golov ◽  
H. E. Hall ◽  
A. A. Levchenko ◽  
W. F. Vinen
Keyword(s):  
Quantum Turbulence ◽  
Temperature Limit ◽  
Zero Temperature

Magnetic susceptibility of a linear chain antiferromagnet, TANOL, at very low temperatures

1976 ◽  
Vol 41 (2) ◽  
pp. 354-356 ◽  
Author(s):  
Masafumi Kumano ◽  
Yusaku Ikegami ◽  
Takashi Sato ◽  
Shinhachiro Saito
Keyword(s):  
Magnetic Susceptibility ◽  
Low Temperatures ◽  
Linear Chain

Magnetic Susceptibilities of 2T2 Ions. Part 1

1972 ◽  
Vol 50 (10) ◽  
pp. 1468-1471 ◽  
Author(s):  
Alan D. Westland
Keyword(s):  
Magnetic Susceptibility ◽  
Excited State ◽  
Reduction Factor ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Coupling Constant ◽  
Magnetic Susceptibilities

An expression for the magnetic susceptibility of octahedral d1 complexes is derived exactly in terms of an orbital reduction factor k taking into account the presence of the formal 2E excited state. Sample calculations show that the improved expression gives results for susceptibility which are lower at times by several percent from those given by previous expressions. The results given by Figgis using Kotani's method are adequately precise when the spin–orbit coupling constant is no larger than ~0.1 Dq.

MAGNETIC BEHAVIOUR OF UPdAl, UCuGa AND UCuSn

1993 ◽  
Vol 07 (01n03) ◽  
pp. 850-854 ◽  
Author(s):  
V.H. TRAN ◽  
R. TROĆ
Keyword(s):  
Electrical Resistivity ◽  
Magnetic Susceptibility ◽  
Low Temperatures ◽  
Magnetic Behaviour ◽  
Type Structure ◽  
Complex Structures ◽  
Temperature Dependent ◽  
Antiferromagnetic Ordering

Magnetic susceptibility and electrical resistivity have been measured on UCuGa, UCu1+xSn1−x, (x=0 and 0.1), and UPdAl. The first two compounds, crystallizing in the hexagonal CaIn2-type structure, show at low temperatures an antiferromagnetic ordering probably with complex structures. UPdAl, which adopts the orthorhombic TiNiSi-type structure, was found to be a weakly temperature-dependent paramagnet down to 4.2 K.

scholarly journals EXACT SOLUTION OF AN IRREVERSIBLE ONE-DIMENSIONAL MODEL WITH FULLY BIASED SPIN EXCHANGES

1996 ◽  
Vol 10 (25) ◽  
pp. 3451-3459 ◽  
Author(s):  
ANTÓNIO M.R. CADILHE ◽  
VLADIMIR PRIVMAN
Keyword(s):  
Exact Solution ◽  
Domain Wall ◽  
Nearest Neighbor ◽  
Spin Exchange ◽  
Initial Conditions ◽  
Strong Dependence ◽  
Zero Temperature ◽  
Dimensional Model ◽  
One Dimensional ◽  
Temperature Dynamics

We introduce a model with conserved dynamics, where nearest neighbor pairs of spins ↑↓ (↓↑) can exchange to assume the configuration ↓↑ (↑↓), with rate β(α), through energy decreasing moves only. We report exact solution for the case when one of the rates, α or β, is zero. The irreversibility of such zero-temperature dynamics results in strong dependence on the initial conditions. Domain wall arguments suggest that for more general, finite-temperature models with steady states the dynamical critical exponent for the anisotropic spin exchange is different from the isotropic value.

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