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

PRAMANA journal of physics, VOL. 74, No. 2, P. 293-306

में बचाया:
ग्रंथसूची विवरण
मुख्य लेखकों: ADEGOKE, KUNLE, BÄUTTNER, HELMUT
स्वरूप: पत्रिका
भाषा:अंग्रेज़ी
प्रकाशित: Indian Academy of Sciences 2020
विषय:
ऑनलाइन पहुंच:https://ir.oauife.edu.ng/handle/123456789/5099
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author ADEGOKE, KUNLE
BÄUTTNER, HELMUT
author_facet ADEGOKE, KUNLE
BÄUTTNER, HELMUT
author_sort ADEGOKE, KUNLE
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description PRAMANA journal of physics, VOL. 74, No. 2, P. 293-306
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spelling oai:ir.oauife.edu.ng:123456789-50992023-05-13T11:11:36Z Continuous quantum phase transitions in the one-dimensional spin-1/2 axial next-nearest-neighbour Ising model in two orthogonal magnetic ¯elds ADEGOKE, KUNLE BÄUTTNER, HELMUT Ising model quantum phase transitions axial next-nearest-neighbour Ising model magnetic fields exact diagonalization finite-size scaling spin systems PRAMANA journal of physics, VOL. 74, No. 2, P. 293-306 We 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 literature 2020-01-20T14:05:31Z 2020-01-20T14:05:31Z 2010-02 Journal 10.1007/s12043-010-0028-5 https://ir.oauife.edu.ng/handle/123456789/5099 en application/pdf Indian Academy of Sciences
spellingShingle Ising model
quantum phase transitions
axial next-nearest-neighbour Ising model
magnetic fields
exact diagonalization
finite-size scaling
spin systems
ADEGOKE, KUNLE
BÄUTTNER, HELMUT
Continuous quantum phase transitions in the one-dimensional spin-1/2 axial next-nearest-neighbour Ising model in two orthogonal magnetic ¯elds
title Continuous quantum phase transitions in the one-dimensional spin-1/2 axial next-nearest-neighbour Ising model in two orthogonal magnetic ¯elds
title_full Continuous quantum phase transitions in the one-dimensional spin-1/2 axial next-nearest-neighbour Ising model in two orthogonal magnetic ¯elds
title_fullStr Continuous quantum phase transitions in the one-dimensional spin-1/2 axial next-nearest-neighbour Ising model in two orthogonal magnetic ¯elds
title_full_unstemmed Continuous quantum phase transitions in the one-dimensional spin-1/2 axial next-nearest-neighbour Ising model in two orthogonal magnetic ¯elds
title_short Continuous quantum phase transitions in the one-dimensional spin-1/2 axial next-nearest-neighbour Ising model in two orthogonal magnetic ¯elds
title_sort continuous quantum phase transitions in the one dimensional spin 1 2 axial next nearest neighbour ising model in two orthogonal magnetic ¯elds
topic Ising model
quantum phase transitions
axial next-nearest-neighbour Ising model
magnetic fields
exact diagonalization
finite-size scaling
spin systems
url https://ir.oauife.edu.ng/handle/123456789/5099
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AT bauttnerhelmut continuousquantumphasetransitionsintheonedimensionalspin12axialnextnearestneighbourisingmodelintwoorthogonalmagneticelds