arXiv:0812.4634 · Physics Letters A

Quantum phase transitions in a spin-1/2 alternating Heisenberg antiferromagnetic chain under a staggered transverse magnetic field

Guang-Qiang Zhong, Shou-Shu Gong, Qing‐Rong Zheng, Gang Su

Published Mar 15, 2009• 6 citations

DOI: 10.1016/j.physleta.2008.12.073

Related papers

Effect of Staggered Field on the Magnetization Process of S=1/2 Antiferromagnetic Chains (Field-Induced Phase Transitions and Dynamics in Quantum Spin Systems)

Akira Matsuo, Kohei Hosokawa, Yasuo Narumi +7 more

Progress of Theoretical PhysicsJan 1, 20050 citations

Alternating Heisenberg Spin-1/2 Chains in a Transverse Magnetic Field

S. Mahdavifar, Alireza Akbari

arXiv:0711.0623Journal of the Physical Society of JapanFeb 12, 200819 citations

Quantum Phase Transitions of Quasi-One-Dimensional Heisenberg Antiferromagnets

Munehisa Matsumoto, Synge Todo, Chitoshi Yasuda +1 more

arXiv:cond-mat/0310619Springer proceedings in physicsJan 1, 20041 citation

Quantum Phase Transitions in s = 1/2 Ising Chain in a Regularly Alternating Transverse Field

Oleg Derzhko, Taras Krokhmalskii

arXiv:cond-mat/0505642Czechoslovak Journal of PhysicsMay 1, 20055 citations

Phase diagrams, distinct conformal anomalies, and thermodynamics of spin-1 bond-alternating Heisenberg antiferromagnetic chain in magnetic fields

Xin Yan, Wei Li, Yang Zhao +2 more

arXiv:1204.3474Physical Review BApr 13, 201223 citations

Field-Induced Multiple Reentrant Quantum Phase Transitions in Randomly Dimerized Antiferromagnetic S=1/2 Heisenberg Chains

Kazuo Hida

arXiv:cond-mat/0602016Journal of the Physical Society of JapanJun 29, 20065 citations

arXiv:0812.4634 · Physics Letters A

Quantum phase transitions in a spin-1/2 alternating Heisenberg antiferromagnetic chain under a staggered transverse magnetic field

Guang-Qiang Zhong, Shou-Shu Gong, Qing‐Rong Zheng, Gang Su

Published Mar 15, 2009• 6 citations

arXiv HTML PDF

DOI: 10.1016/j.physleta.2008.12.073

Related papers

Effect of Staggered Field on the Magnetization Process of S=1/2 Antiferromagnetic Chains (Field-Induced Phase Transitions and Dynamics in Quantum Spin Systems)

Akira Matsuo, Kohei Hosokawa, Yasuo Narumi +7 more

Progress of Theoretical PhysicsJan 1, 20050 citations

Alternating Heisenberg Spin-1/2 Chains in a Transverse Magnetic Field

S. Mahdavifar, Alireza Akbari

The ground state phase diagram of the alternating spin-1/2 chains with anisotropic ferromagnetic coupling under the influence of a symmetry breaking transverse magnetic field is studied. We have used the exact diagonalization technique. In the limit where the antiferromagnetic coupling is dominant, we have identified two Ising-type quantum phase transitions. We have calculated two critical fields $h_{c_{1}}$ and $h_{c_{2}}$ , corresponding to the transition between different magnetic phases of the system. It is found that the intermediate state ($h_{c_{1}}The ground state phase diagram of the alternating spin-1/2 chains with anisotropic ferromagnetic coupling under the influence of a symmetry breaking transverse magnetic field is studied. We have used the exact diagonalization technique. In the limit where the antiferromagnetic coupling is dominant, we have identified two Ising-type quantum phase transitions. We have calculated two critical fields $h_{c_{1}}$ and $h_{c_{2}}$, corresponding to the transition between different magnetic phases of the system. It is found that the intermediate state ($h_{c_{1}}

arXiv:0711.0623Journal of the Physical Society of JapanFeb 12, 200819 citations

Quantum Phase Transitions of Quasi-One-Dimensional Heisenberg Antiferromagnets

Munehisa Matsumoto, Synge Todo, Chitoshi Yasuda +1 more

arXiv:cond-mat/0310619Springer proceedings in physicsJan 1, 20041 citation

Quantum Phase Transitions in s = 1/2 Ising Chain in a Regularly Alternating Transverse Field

Oleg Derzhko, Taras Krokhmalskii

arXiv:cond-mat/0505642Czechoslovak Journal of PhysicsMay 1, 20055 citations

Phase diagrams, distinct conformal anomalies, and thermodynamics of spin-1 bond-alternating Heisenberg antiferromagnetic chain in magnetic fields

Xin Yan, Wei Li, Yang Zhao +2 more

The ground state phase diagrams and thermodynamic properties of a spin-1 bond-alternating Heisenberg antiferromagnetic chain with a single-ion anisotropy in longitudinal and transverse magnetic fields are investigated jointly by means of the infinite time evolving block decimation, the linearized tensor renormalization group, and the density matrix renormalization group methods. It is found that in the magnetic field--bond alternating ratio plane six phases such as singlet dimer, Haldane, two Tomonaga-Luttinger liquid, 1/2 magnetization plateau, and spin-polarized phases are identified in a longitudinal field, while in a transverse field there are five phases including singlet dimer, Haldane, ${Z}_{2}$ symmetry breaking, quasi-1/2 magnetization plateau, and quasi-spin-polarized phases. A reentrant behavior of the staggered magnetization in a transverse field is observed. The quantum critical behaviors in longitudinal and transverse magnetic fields are disclosed to fall into different universality classes with corresponding conformal field central charge $c=1$ and $1/2$ , respectively. The experimental data of the compound NTENP under both longitudinal and transverse magnetic fields are nicely fitted, and the Luttinger liquid behavior of low-temperature specific heat experimentally observed is also confirmed.The ground state phase diagrams and thermodynamic properties of a spin-1 bond-alternating Heisenberg antiferromagnetic chain with a single-ion anisotropy in longitudinal and transverse magnetic fields are investigated jointly by means of the infinite time evolving block decimation, the linearized tensor renormalization group, and the density matrix renormalization group methods. It is found that in the magnetic field--bond alternating ratio plane six phases such as singlet dimer, Haldane, two Tomonaga-Luttinger liquid, 1/2 magnetization plateau, and spin-polarized phases are identified in a longitudinal field, while in a transverse field there are five phases including singlet dimer, Haldane, ${Z}_{2}$ symmetry breaking, quasi-1/2 magnetization plateau, and quasi-spin-polarized phases. A reentrant behavior of the staggered magnetization in a transverse field is observed. The quantum critical behaviors in longitudinal and transverse magnetic fields are disclosed to fall into different universality classes with corresponding conformal field central charge $c=1$ and $1/2$, respectively. The experimental data of the compound NTENP under both longitudinal and transverse magnetic fields are nicely fitted, and the Luttinger liquid behavior of low-temperature specific heat experimentally observed is also confirmed.

arXiv:1204.3474Physical Review BApr 13, 201223 citations

Field-Induced Multiple Reentrant Quantum Phase Transitions in Randomly Dimerized Antiferromagnetic S=1/2 Heisenberg Chains

Kazuo Hida

The multiple reentrant quantum phase transitions in the $S=1/2$ antiferromagnetic Heisenberg chains with random bond alternation in the magnetic field are investigated by the density matrix renormalization group method combined with the interchain mean field approximation. It is assumed that the odd-th bond is antiferromagnetic with strength $J$ and even-th bond can take the values ${\JS}$ and ${\JW}$ $ ({\JS} > J > {\JW} > 0)$ randomly with probability $p$ and $1-p$ , respectively. The pure version ( $p=0$ and $p=1$ ) of this model has a spin gap but exhibits a field induced antiferromagnetism in the presence of interchain coupling if Zeeman energy due to the magnetic field exceeds the spin gap. For $0 < p < 1$ , the antiferromagnetism is induced by randomness at small field region where the ground state is disordered due to the spin gap in the pure case. At the same time, this model exhibits randomness induced plateaus at several values of magnetization. The antiferromagnetism is destroyed on the plateaus. As a consequence, we find a series of reentrant quantum phase transitions between the transverse antiferromagnetic phases and disordered plateau phases with the increase of the magnetic field for moderate strength of interchain coupling. Above the main plateaus, the magnetization curve consists of a series of small plateaus and the jumps between them, It is also found that the antiferromagnetism is induced by infinitesimal interchain coupling at the jumps between the small plateaus. We conclude that this antiferromagnetism is supported by the mixing of low lying excited states by the staggered interchain mean field even though the spin correlation function is short ranged in the ground state of each chain.The multiple reentrant quantum phase transitions in the $S=1/2$ antiferromagnetic Heisenberg chains with random bond alternation in the magnetic field are investigated by the density matrix renormalization group method combined with the interchain mean field approximation. It is assumed that the odd-th bond is antiferromagnetic with strength $J$ and even-th bond can take the values ${\JS}$ and ${\JW}$ $ ({\JS} > J > {\JW} > 0)$ randomly with probability $p$ and $1-p$, respectively. The pure version ($p=0$ and $p=1$) of this model has a spin gap but exhibits a field induced antiferromagnetism in the presence of interchain coupling if Zeeman energy due to the magnetic field exceeds the spin gap. For $0 < p < 1$, the antiferromagnetism is induced by randomness at small field region where the ground state is disordered due to the spin gap in the pure case. At the same time, this model exhibits randomness induced plateaus at several values of magnetization. The antiferromagnetism is destroyed on the plateaus. As a consequence, we find a series of reentrant quantum phase transitions between the transverse antiferromagnetic phases and disordered plateau phases with the increase of the magnetic field for moderate strength of interchain coupling. Above the main plateaus, the magnetization curve consists of a series of small plateaus and the jumps between them, It is also found that the antiferromagnetism is induced by infinitesimal interchain coupling at the jumps between the small plateaus. We conclude that this antiferromagnetism is supported by the mixing of low lying excited states by the staggered interchain mean field even though the spin correlation function is short ranged in the ground state of each chain.

arXiv:cond-mat/0602016Journal of the Physical Society of JapanJun 29, 20065 citations

h_{c_{1}}

and

h_{c_{2}}

, corresponding to the transition between different magnetic phases of the system. It is found that the intermediate state ($h_{c_{1}}

{Z}_{2}

symmetry breaking, quasi-1/2 magnetization plateau, and quasi-spin-polarized phases. A reentrant behavior of the staggered magnetization in a transverse field is observed. The quantum critical behaviors in longitudinal and transverse magnetic fields are disclosed to fall into different universality classes with corresponding conformal field central charge

c=1

and

1/2

, respectively. The experimental data of the compound NTENP under both longitudinal and transverse magnetic fields are nicely fitted, and the Luttinger liquid behavior of low-temperature specific heat experimentally observed is also confirmed.

The multiple reentrant quantum phase transitions in the

S=1/2

antiferromagnetic Heisenberg chains with random bond alternation in the magnetic field are investigated by the density matrix renormalization group method combined with the interchain mean field approximation. It is assumed that the odd-th bond is antiferromagnetic with strength

J

and even-th bond can take the values ${\JS}$ and ${\JW}$ $ ({\JS} > J > {\JW} > 0)$ randomly with probability

p

and

1-p

, respectively. The pure version (

p=0

and

p=1

) of this model has a spin gap but exhibits a field induced antiferromagnetism in the presence of interchain coupling if Zeeman energy due to the magnetic field exceeds the spin gap. For

0 < p < 1

, the antiferromagnetism is induced by randomness at small field region where the ground state is disordered due to the spin gap in the pure case. At the same time, this model exhibits randomness induced plateaus at several values of magnetization. The antiferromagnetism is destroyed on the plateaus. As a consequence, we find a series of reentrant quantum phase transitions between the transverse antiferromagnetic phases and disordered plateau phases with the increase of the magnetic field for moderate strength of interchain coupling. Above the main plateaus, the magnetization curve consists of a series of small plateaus and the jumps between them, It is also found that the antiferromagnetism is induced by infinitesimal interchain coupling at the jumps between the small plateaus. We conclude that this antiferromagnetism is supported by the mixing of low lying excited states by the staggered interchain mean field even though the spin correlation function is short ranged in the ground state of each chain.