Bethe-ansatz study of the low-temperature thermodynamics of an open Heisenberg chain

Physical Review B - Condensed Matter and Materials Physics

Volumn 69, Issue 21, 2004, Pages

  Zvyagin, A A ^a,b   Makarova, A V ^b,c  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b B VERKIN INSTITUTE FOR LOW TEMPERATURE PHYSICS AND ENGINEERING   (Ukraine)

^c SIMON KUZNETS KHARKIV NATIONAL UNIVERSITY OF ECONOMICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; LOW TEMPERATURE; MAGNET; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; THERMODYNAMICS;

EID: 42749108493     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.69.214430     Document Type: Article

References (25)

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25. The discrepancy in the behavior of some low-temperature characteristics of the edges of an open Heisenberg chain obtained in this work and in the bosonization scheme (Ref. 9), probably follows from the approximations used in Ref. 9. Further, we note that, in our opinion, appropriate derivations of the bosonization form for the free energy of an open spin chain with two free edges do not appear in Ref. 9. [Expressions for the low-temperature specific heat follow, naturally, from the ones for the free energy, and, hence, such a derivation is of principal significance.] In particular, in the first work of Ref. 9, Eq. (1) determines the open spin chain with two open edges, while Eqs. (3)-(5) correspond to the semi-infinite cylinder. The same is true for the second work of Ref. 9, Eq. (1) describes an open spin chain with two edges, while Eq. (3) pertains to the semi-infinite wire.