Numerical study of the one-dimensional quantum compass model

Mahdavifar, S.

doi:10.1140/epjb/e2010-00255-6

Cited by 17 publications

(40 citation statements)

References 21 publications

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“…[10] and [15]. They have shown that the first-order transition occurs at multicritical point where a line of first-order transition (J 1 /L 1 = 0) meets with a line of second order transition (J 2 /L 1 = 1).…”

Section: Phase Diagrammentioning

confidence: 99%

Quantum phase transition in the one-dimensional extended quantum compass model in a transverse field

Jafari

2011

Phys. Rev. B

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Quantum phase transitions in the one-dimensional extended quantum compass model in transverse field are studied by using the Jordan-Wigner transformation. This model is always gapful except at the critical surfaces where the energy gap disappears. We obtain the analytic expressions of all critical fields which drive quantum phase transitions. This model shows a rich phase diagram which includes spin-flop, strip antiferromagnetic and saturate ferromagnetic phases in addition to the phase with anti parallel ordering of spin y component on odd bonds. However we study the universality and scaling properties of the transverse susceptibility and nearest-neighbor correlation functions derivatives in different regions to confirm the results obtained using the energy gap analysis.

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Section: Phase Diagrammentioning

confidence: 99%

Quantum phase transition in the one-dimensional extended quantum compass model in a transverse field

Jafari

2011

Phys. Rev. B

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“…The ground state of the QC model is known to be in the gapped Neel phase in the region (J 1 > 0, J 2 < 1) [19]. To study the induced effects of the NNN interaction on the magnetic behavior of the ground state we did a very accurate simulation and the results are presented in Fig.…”

Section: Frustrated Compass Modelmentioning

confidence: 99%

Topological phase transition in the extended cluster compass ladder

Jafari

Mahdavifar

2014

Progress of Theoretical and Experimental Physics

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We have studied the exact solution of the extended cluster compass ladder, which is equivalent to extended quantum compass model with cluster interaction between next-nearest-neighbor spins, by using the Jordan-Wigner transformation. We show that this model is always gapfull except at the critical surfaces where the energy gap disappears. We obtain the analytic expressions of all critical couplings which drive quantum phase transitions. This model shows a rich phase diagram which includes spin-flop, strip antiferromagnetic and topological ordered on the legs, in addition to the phase with antiparallel ordering of spin y component on the rungs. We study also the universality and scaling properties of the three point correlation functions derivatives in different regions to confirm the results obtained using the energy gap analysis. On the other hand, we have replaced the cluster interaction with usual form and using the Lanczos method a numerical experiment is done. Analyzing the numerical results, we show that the effect of the cluster interaction between next-nearest-neighbor spins is completely different from the usual form.

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“…The ground state phase diagram of the model is very rich including four different gapped phases which are separated with the first-order (J 1 /L = 0) and the second-order (J 2 /L = 1) critical lines [5,6]. The point where the line of the first-order transition (J 1 /L = 0) meets with a line of the second-order (J 2 /L = 1) transition is called the multicritical point.…”

Section: Correlation Functions At the Multicritical Pointmentioning

confidence: 99%

“…In particular, we consider the 1D spin-1/2 quantum compass model [1][2][3][4][5][6][7]. In fact, the quantum compass model is defined for explaining the low-temperature behavior of some Mott insulators.…”

Section: Introductionmentioning

confidence: 99%

“…In a very interesting work [5], it is found that the reported first-order phase transition, in fact, occurs at a multicritical point, where a line of the first-order transition meets with a line of the second-order transition. Based on a numerical analysis [6], the first and second order quantum phase transitions in the ground state phase diagram have been identified. The effect of a transverse magnetic field on the 1D quantum compass model is also well studied recently [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

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Multicritical Point in the One-dimensional Quantum Compass Model

Aziziha¹,

Motamedifar²,

Mahdavifar³

2013

Acta Phys. Pol. B

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The one-dimensional spin-1/2 quantum compass model is considered. There is a multicritical point in the ground state magnetic phase diagram of the model. By using the Jordan-Wigner transformation the diagonalized Hamiltonian is obtained and analytic expressions for the spin-spin correlation functions are determined at the multicritical point. On the other hand, the critical exponent of the energy gap in the vicinity of the multicritical point is calculated by a practical finite size scaling approach.

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Numerical study of the one-dimensional quantum compass model

Cited by 17 publications

References 21 publications

Quantum phase transition in the one-dimensional extended quantum compass model in a transverse field

Quantum phase transition in the one-dimensional extended quantum compass model in a transverse field

Topological phase transition in the extended cluster compass ladder

Multicritical Point in the One-dimensional Quantum Compass Model

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