Magnetic properties of one-dimensional dilute Heisenberg system

1978 ◽  
Vol 56 (6) ◽  
pp. 715-720
Author(s):  
Fumitaka Matsubara ◽  
Masaru Sampei ◽  
Shigetoshi Katsura
Keyword(s):  
Magnetic Properties ◽  
Partition Function ◽  
Irreducible Representation ◽  
Permutation Groups ◽  
Open Chain ◽  
One Dimensional ◽  
Specific Heats ◽  
Ferromagnetic System ◽  
The One ◽  
Extensive Quantity

The magnetic properties of the one-dimensional dilute Heisenberg system of spin [Formula: see text] are studied in terms of power series of concentration of magnetic atoms p. Any extensive quantity A is given by [Formula: see text]for ferromagnetic and antiferromagnetic couplings. The An are obtained from the partition function of the finite open chain up to n = 11, and from extrapolation for [Formula: see text]. The former is calculated by using irreducible representation of permutation groups. The specific heats and the magnetizations of both the ferromagnetic system and the antiferromagnetic system are obtained and the p-dependences of those quantities are discussed.

Application of the Landau-Luttinger Liquid Formulation to the Study of the Magnetic Properties of the 1-D Hubbard Model

1991 ◽  
Vol 05 (01n02) ◽  
pp. 3-30 ◽  
Author(s):  
J. Carmelo ◽  
P. Horsch ◽  
P.A. Bares ◽  
A.A. Ovchinnikov
Keyword(s):  
Magnetic Field ◽  
Magnetic Properties ◽  
Low Temperature ◽  
Hubbard Model ◽  
Luttinger Liquid ◽  
Liquid Formulation ◽  
One Dimensional ◽  
Spin Excitations ◽  
Arbitrary Strength ◽  
The One

The Landau-Luttinger liquid formulation is used to investigate the physics of the one-dimensional Hubbard model in a magnetic field of arbitrary strength H. The low lying charge and spin excitations are studied. A novel branch of sound wave-like spin excitations arises for H>0. The low temperature thermodynamics is considered in some detail.

Lax Pair Formulation for the One-Dimensional Heisenberg XYZ Open Chain

1996 ◽  
Vol 65 (9) ◽  
pp. 2807-2810 ◽  
Author(s):  
Xi-Wen Guan ◽  
Dian-Min Tong ◽  
Huan-Qiang Zhou
Keyword(s):  
Lax Pair ◽  
Open Chain ◽  
One Dimensional ◽  
The One

scholarly journals Algebraic approach for the one-dimensional Dirac–Dunkl oscillator

2020 ◽  
Vol 35 (31) ◽  
pp. 2050255
Author(s):  
D. Ojeda-Guillén ◽  
R. D. Mota ◽  
M. Salazar-Ramírez ◽  
V. D. Granados
Keyword(s):  
Energy Spectrum ◽  
Irreducible Representation ◽  
Differential Equations ◽  
Representation Theory ◽  
Algebraic Approach ◽  
The Other ◽  
One Dimensional ◽  
The One

We extend the (1 + 1)-dimensional Dirac–Moshinsky oscillator by changing the standard derivative by the Dunkl derivative. We demonstrate in a general way that for the Dirac–Dunkl oscillator be parity invariant, one of the spinor component must be even, and the other spinor component must be odd, and vice versa. We decouple the differential equations for each of the spinor component and introduce an appropriate su(1, 1) algebraic realization for the cases when one of these functions is even and the other function is odd. The eigenfunctions and the energy spectrum are obtained by using the su(1, 1) irreducible representation theory. Finally, by setting the Dunkl parameter to vanish, we show that our results reduce to those of the standard Dirac-Moshinsky oscillator.

scholarly journals Comments on open string with ‘massive’ boundary term

2020 ◽  
Vol 476 (2236) ◽  
pp. 20190748
Author(s):  
Arkady A. Tseytlin
Keyword(s):  
Scattering Amplitudes ◽  
Partition Function ◽  
Gauge Field ◽  
Path Integral ◽  
Open String ◽  
One Dimensional ◽  
Conformally Invariant ◽  
Additional Constant ◽  
The One ◽  
Definition Of

We discuss possible definition of open string path integral in the presence of additional boundary couplings corresponding to the presence of masses at the ends of the string. These couplings are not conformally invariant implying that as in a non-critical string case one is to integrate over the one-dimensional metric or reparametrizations of the boundary. We compute the partition function on the disc in the presence of an additional constant gauge field background and comment on the structure of the corresponding scattering amplitudes.

Synthesis, structure and magnetic properties of the one-dimensional bimetallic oxide [Cu(terpy)Mo2O7]

2005 ◽  
Vol 178 (10) ◽  
pp. 3145-3151 ◽  
Author(s):  
Eric Burkholder ◽  
N. Gabriel Armatas ◽  
Vladimir Golub ◽  
Charles J. O’Connor ◽  
Jon Zubieta
Keyword(s):  
Magnetic Properties ◽  
One Dimensional ◽  
The One

Synthesis, Structures and Magnetic Properties of a Family of One-Dimensional Oxides

1996 ◽  
Vol 453 ◽  
Author(s):  
H.-C. Zur Loye ◽  
P. Núñez ◽  
M. A. Rzeznik
Keyword(s):  
Magnetic Properties ◽  
Magnetic Susceptibility ◽  
Rietveld Refinement ◽  
Diffraction Data ◽  
X Ray Diffraction ◽  
Magnetic Susceptibility Data ◽  
One Dimensional ◽  
X Ray ◽  
Susceptibility Data ◽  
The One

AbstractThe one-dimensional compounds Sr3MgPtO6, Sr3MgIrO6, Sr3MgRhO6, Sr3GdRhO6, have been synthesized and structurally characterized by Rietveld refinement of powder X-ray diffraction data. All four compounds are isostructural with the rhombohedral K4CdCl6-type structure. The structure consists of infinite one-dimensional chains of alternating face-shared MO6 octahedra (M = Pt, Ir, Rh) and M′O6 (M′ = Gd, Mg) trigonal prisms. The strontium cations are located in a distorted square antiprismatic environment. Magnetic susceptibility data show that both Sr3MgIrO6 and Sr3MgRhO6 obey the Curie-Weiss law with θ = −6(1) K, and θ= −15(3)K, respectively. Sr3GdRhO6 obeys the Curie law with μeff = 7.80 B.M, consistent with an oxidation state of +3 for both rhodium and gadolinium.

scholarly journals Superstatistics of the one-dimensional Klein-Gordon oscillator with energy-dependent potentials

2020 ◽  
Vol 66 (5 Sept-Oct) ◽  
pp. 671
Author(s):  
M. Labidi ◽  
A. Boumali ◽  
A. Ndem Ikot
Keyword(s):  
Thermal Properties ◽  
Partition Function ◽  
Thermodynamic Properties ◽  
Gamma Distribution ◽  
Low Energy ◽  
Tsallis Statistics ◽  
One Dimensional ◽  
Klein Gordon ◽  
The One ◽  
Energy Dependent

AbstractIn this paper, we investigated the influence of energy-dependent potentials on the thermodynamic properties of the Klein-Gordon oscillator(KGO): in this way all thermal properties have been determinate via the well-know Euler-Maclaurin method. After this, we extend our study to the case of superstatistical properties of our problem in question. The probability densityf(β)followsχ2− superstatistics (=Tsallis statistics or Gamma distribution). Under the approximation of the low-energy asymptotics of superstatistics, the partition function, at first, has been calculated. This approximation leads to a universal parameterqfor any superstatistics, not only for Tsallis statistics. By using the desired partition function, all thermal properties have been obtained in terms of the parameterq. Also, the influence of the this type of potentials on these properties, via the parameterγ, are well discussed.

Magnetic properties of the one-dimensional Ca3Co2O6

1997 ◽  
Vol 101 (3) ◽  
pp. 187-192 ◽  
Author(s):  
S. Aasland ◽  
H. Fjellvåg ◽  
B. Hauback
Keyword(s):  
Magnetic Properties ◽  
One Dimensional ◽  
The One
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