One-Dimensional Quantum Compass Model in an Out-plane Magnetic Field

Motamedifar, Mostafa; Mahdavifar, S.; Shayesteh, S. Farjami

doi:10.1007/s10948-010-0935-1

Cited by 9 publications

(9 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…On the other hand, it is reported in Ref. 54 that the nonzero string order O xx in disordered region is robust even under some finite external magnetic fields h < h c (below the critical field).…”

Section: H Entanglement Spectrum Dual Transformation and String Order...mentioning

confidence: 96%

Matrix product state and quantum phase transitions in the one-dimensional extended quantum compass model

Liu

You

et al. 2012

Phys. Rev. B

View full text Add to dashboard Cite

The matrix product state (MPS) is utilized to study the ground-state properties and quantum phase transitions (QPTs) of the one-dimensional extended quantum compass model (EQCM). The MPS wavefunctions are argued to be very efficient descriptions of the ground states, and are numerically determined by imaginary time projections. The ground-state energy, correlations, quantum entanglement and its spectrum, local and nonlocal order parameters, etc., are calculated and studied in details. It is revealed that the von Neumann entanglement entropy, as well as the nearest neighbor correlation functions, can be used to detect the second-order QPTs, but not the first-order ones, while fidelity detections can recognize both. The entanglement spectrum is extracted from the MPS wavefunction, and found to be doubly degenerate in disordered phases, where nonzero string order parameters exist. Moreover, with linearized tensor renormalization group method, the specific heat curves are evaluated and their low temperature behaviors are investigated. Compared with the exact solutions, our results verify that these MPS-based numerical methods are very accurate and powerful, and can be employed to investigate other EQCMs which do not permit exact solutions at present.

show abstract

Section: H Entanglement Spectrum Dual Transformation and String Order...mentioning

confidence: 96%

Matrix product state and quantum phase transitions in the one-dimensional extended quantum compass model

Liu

You

et al. 2012

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…In this section, we briefly discuss the model ( 1) in limiting case of the exchanges J1 L = J2 L = J L ≫ 0. In this limit the model ( 1) can be mapped onto the effective spin chain Hamiltonian 19 .…”

Section: Effective Hamiltonianmentioning

confidence: 99%

“…They only restricted their study on the first order critical line. In a very recent work 19 , our group studied the presence QCC in an area of the ground state magnetic phase diagram where the odd couplings are antiferromagnetic and larger than even couplings. Using pseudo spin ladder operators indicated that the QCC in a transverse magnetic field can be mapped to the one dimensional Ising model in a transverse magnetic field (ITF).…”

Section: Introductionmentioning

confidence: 99%

The quantum compass chain in a transverse magnetic field

2011

Self Cite

View full text Add to dashboard Cite

We study the magnetic behaviors of a spin-1/2 quantum compass chain (QCC) in a transverse magnetic field, by means of the analytical spinless fermion approach and numerical Lanczos method. In the absence of the magnetic field, the phase diagram is divided into four gapped regions. To determine what happens by applying a transverse magnetic field, using the spinless fermion approach, critical fields are obtained as a function of exchanges. Our analytical results show, the field-induced effects depend on in which one of the four regions the system is. In two regions of the phase diagram, the Ising-type phase transition happens in a finite field. In another region, we have identified two quantum phase transitions in the ground state magnetic phase diagram. These quantum phase transitions belong to the universality class of the commensurate-incommensurate phase transition. We also present a detailed numerical analysis of the low energy spectrum and the ground state magnetic phase diagram. In particular, we show that the intermediate state (hc 1 < h < hc 2 ) is gapful, describing the spin-flop phase.

show abstract

“…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: 97%

Multicritical Point in the One-dimensional Quantum Compass Model

Aziziha¹,

Motamedifar²,

Mahdavifar³

2013

Acta Phys. Pol. B

Self Cite

View full text Add to dashboard Cite

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.

show abstract

One-Dimensional Quantum Compass Model in an Out-plane Magnetic Field

Cited by 9 publications

References 12 publications

Matrix product state and quantum phase transitions in the one-dimensional extended quantum compass model

Matrix product state and quantum phase transitions in the one-dimensional extended quantum compass model

The quantum compass chain in a transverse magnetic field

Multicritical Point in the One-dimensional Quantum Compass Model

Contact Info

Product

Resources

About