Quantum phase transitions in alternating transverse Ising chains: Analytical and numerical results

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 14, 2002, Pages 1-5

  Derzhko, Oleg ^a,b   Richter, Johannes ^c   Krokhmalskii, Taras ^a   Zaburannyi, Oles’ ^a  

^a INSTITUTE FOR CONDENSED MATTER PHYSICS   (Ukraine)

^b IVAN FRANKO NATIONAL UNIVERSITY OF LVIV   (Ukraine)

^c OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85038273974     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.144401     Document Type: Article

References (19)

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18. Note, that the critical condition found in Ref. 17 [Eq. (6) of that paper] in our notations reads (formula presented) and can yield only two critical fields. However, by symmetry arguments (i.e., performing simple rotations of spin axes) one concludes that in addition to that condition there is an excitation of zero energy when (formula presented) and thus either two or four critical fields may appear.
19. We may consider also a chain of period 2 with (formula presented) and examine the GS properties as I varies. Then we find that for small (formula presented) there are two values of (formula presented) at which the system becomes gapless, whereas for large (formula presented) there are four such values of (formula presented) In general, condition (3) may be tuned by some parameter(s) influencing the local fields or/and exchange interactions.