Continuous quantum phase transitions in the one-dimensional spin-1/2 axial next-nearest-neighbour Ising model in two orthogonal magnetic ¯elds

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dc.contributor.authorADEGOKE, KUNLE
dc.contributor.authorBÄUTTNER, HELMUT
dc.date.accessioned2020-01-20T14:05:31Z
dc.date.available2020-01-20T14:05:31Z
dc.date.issued2010-02
dc.descriptionPRAMANA journal of physics, VOL. 74, No. 2, P. 293-306en_US
dc.description.abstractWe have investigated the one-dimensional spin-1/2 axial next-nearestneighbour Ising (ANNNI) model in two orthogonal magnetic fields at zero temperature. There are four different possible ground state configurations for the ANNNI model in a longitudinal field, in the thermodynamic limit. The inclusion of a transverse field introduces quantum fluctuations which destroy the existing spin order along certain critical lines. The effects of the fluctuations in three of the four ordered regions were investigated using the finite-size scaling technique. The phase boundaries of the ANNNI model in two orthogonal magnetic fields were thus determined numerically. For certain limits of the Hamiltonian we compared the obtained results with the existing literature and our results were in good agreement with the results in the existing literatureen_US
dc.identifier.other10.1007/s12043-010-0028-5
dc.identifier.urihttps://ir.oauife.edu.ng/handle/123456789/5099
dc.language.isoenen_US
dc.publisherIndian Academy of Sciencesen_US
dc.subjectIsing modelen_US
dc.subjectquantum phase transitionsen_US
dc.subjectaxial next-nearest-neighbour Ising modelen_US
dc.subjectmagnetic fieldsen_US
dc.subjectexact diagonalizationen_US
dc.subjectfinite-size scalingen_US
dc.subjectspin systemsen_US
dc.titleContinuous quantum phase transitions in the one-dimensional spin-1/2 axial next-nearest-neighbour Ising model in two orthogonal magnetic ¯eldsen_US
dc.typeJournalen_US
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