Published March 1983 | Version v1
Journal article Metadata-only

Thermal properties of the anisotropic Heisenberg linear chain

Creators

  • 1. Rio Grande do Norte Univ., Natal (Brazil). Dept. de Fisica
  • 2. Ceara Univ., Fortaleza (Brazil). Inst. de Fisica
  • 3. Alagoas Univ., Maceio (Brazil). Dept. de Fisica

Description

The specific heat of the anisotropic Heisenberg closed linear chain is studied by using two different formalisms. These two approaches give the same result and reproduce the well known exact results for the Ising and XY models. These methods seem to be more suitable and powerful for better approximation when compared with other similar works. Explicit expressions for the internal energy and the specific heat are presented, which are valid for any temperature, and the results are compared with the exact ones obtained for the anisotropic chain in the low temperature limit. (Author)

Abstract (Portuguese)

Estuda-se o calor especifico de uma cadeia linear fechada usando o modelo Heisenberg anisotropico, por meio de dois diferentes formalismos. Estes formalismos fornecem o mesmo resultado e reproduzem, como casos-limite, os ja bem conhecidos resultados exatos dos modelos de Ising e XY. Os metodos de calculo utilizados parecem ser mais convenientes e poderosos quando comparados com outros trabalhos similares. Apresenta-se expressoes explicitas para a energia interna e calor especifico, validas para qualquer temperatura, e comparam-se resultados com os resultados exatos obtidos para uma cadeia anisotropica no limite de baixa temperatura. (Autor)

Additional details

Publishing Information

Journal Title
Rev. Bras. Fis.
Journal Volume
13
Journal Issue
1
Series
Rev. Bras. Fis.
Journal Page Range
24-34
ISSN
0374-4922

INIS

Country of Publication
Brazil
Country of Input or Organization
Brazil
INIS RN
15054328
Subject category
S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
Descriptors DEI
ANISOTROPY; COMPARATIVE EVALUATIONS; GREEN FUNCTION; HEISENBERG MODEL; ONE-DIMENSIONAL CALCULATIONS; SPECIFIC HEAT; TEMPERATURE DEPENDENCE
Descriptors DEC
CRYSTAL MODELS; FUNCTIONS; MATHEMATICAL MODELS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES