Entanglement spectrum and magnetization plateaus in an S = 1 bond-alternative Heisenberg chain with single-ion anisotropy and magnetic field

Liu, Guanghua; Li, Qiang

doi:10.1140/epjb/e2013-40268-y

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Spin-1 Xxz Chains With Uniaxial Single-ion-type Anisotropy2

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2015

2024

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Cited by 2 publications

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“…1 with 14 target states. It can be readily seen that at the average trace distance shows a discontinuity at the critical points of QPT, in good agreement with the phase diagram obtained using numerical diagonalization and other DMRG studies [14,[18][19][20].…”

Section: Spin-1 Xxz Chains With Uniaxial Single-ion-type Anisotropysupporting

confidence: 86%

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Quantum phase transition by employing trace distance along with the density matrix renormalization group

Luo

2015

Annals of Physics

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We use an alternative method to investigate the quantum criticality at zero and finite temperature using trace distance along with the density matrix renormalization group. It is shown that the average correlation measured by the trace distance between the system block and environment block in a DMRG sweep is able to detect the critical points of quantum phase transitions at finite temperature. As illustrative examples, we study a spin-1 XXZ chains with uniaxial single-ion-type anisotropy and the Heisenberg spin chain with staggered coupling and external magnetic field. It is found that the trace distance shows discontinuity at the critical points of quantum phase transition and can be used as an indicator of QPTs.

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Section: Spin-1 Xxz Chains With Uniaxial Single-ion-type Anisotropysupporting

confidence: 86%

“…However, there exists a gap for integer spins called the Haldane gap [17]. This state is affected by various perturbations such as single-ion-type anisotropy [14,[18][19][20]. The Hamiltonian of the spin-1 XXZ chains with uniaxial single-ion-type anisotropy is given by…”

Section: Spin-1 Xxz Chains With Uniaxial Single-ion-type Anisotropymentioning

confidence: 99%

Quantum phase transition by employing trace distance along with the density matrix renormalization group

Luo

2015

Annals of Physics

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Logarithmic negativity of the 1D antiferromagnetic spin-1 Heisenberg model with single-ion anisotropy

Papoyan,

Gori,

Papoyan

et al. 2024

Physica E: Low-dimensional Systems and Nanostructures

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Entanglement spectrum and magnetization plateaus in an S = 1 bond-alternative Heisenberg chain with single-ion anisotropy and magnetic field

Cited by 2 publications

References 47 publications

Quantum phase transition by employing trace distance along with the density matrix renormalization group

Quantum phase transition by employing trace distance along with the density matrix renormalization group

Logarithmic negativity of the 1D antiferromagnetic spin-1 Heisenberg model with single-ion anisotropy

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