Physica A Statistical Mechanics and its Applications

Magnetic specific heat of the honeycomb lattice of spin one-half with anisotropic Heisenberg exchange by a new method

Yoshiaki Tanaka, Norikiyo Uryû

Published Jul 1, 1981• 3 citations

DOI: 10.1016/0378-4371(81)90194-1

Related papers

Spin transport properties of anisotropic Heisenberg antiferromagnet on honeycomb lattice in the presence of magnetic field

Farshad Azizi, Hamed Rezania

The European Physical Journal BFeb 1, 202012 citations

Emergence of quantum spin frustration in spin-1/2 Ising-Heisenberg model on a decorated honeycomb lattice

Onofre Rojas

arXiv:2206.06104Physical review. EJul 11, 20221 citation

MAGNETIC PROPERTIES OF THE RANDOM MIXTURE OF THE ONE-DIMENSIONAL SYSTEM WITH ANISO-TROPIC HEISENBERG EXCHANGE

Zhen‐Ya Li, YANG CHUAN-ZHANG, 苏州大学物理系

In this paper, we extend the method proposed in ref. [1] for the calculation of the partition function of the anisotropic Heisenberg spin system, and calculate the specific heat and magnetic susceptibility for random binary mixture of the one-dimensional system with anisotropic Heisenberg exchange.

Acta Physica SinicaJan 1, 19850 citations

Thermal properties of spin-S Kitaev-Heisenberg model on a honeycomb lattice

Takafumi J. Suzuki, Youhei Yamaji

Physica B Condensed MatterSep 29, 201715 citations

High-temperature dynamics of the anisotropic spin-1/2 square lattice Heisenberg model studied by moment methods

Joachim Stolze, U. Brandt

The European Physical Journal BFeb 1, 19894 citations

Quantum phase diagram of a frustrated spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{1}^{\perp}$ Heisenberg model on an $AA$-stacked bilayer honeycomb lattice

P. H. Y. Li, R. F. Bishop

May 3, 20180 citations

Physica A Statistical Mechanics and its Applications

Magnetic specific heat of the honeycomb lattice of spin one-half with anisotropic Heisenberg exchange by a new method

Yoshiaki Tanaka, Norikiyo Uryû

Published Jul 1, 1981• 3 citations

Publisher

DOI: 10.1016/0378-4371(81)90194-1

Related papers

Spin transport properties of anisotropic Heisenberg antiferromagnet on honeycomb lattice in the presence of magnetic field

Farshad Azizi, Hamed Rezania

The European Physical Journal BFeb 1, 202012 citations

Emergence of quantum spin frustration in spin-1/2 Ising-Heisenberg model on a decorated honeycomb lattice

Onofre Rojas

We study the spin-1/2 Ising-XXZ model on a decorated honeycomb lattice composed of five spins per unit cell, one Ising spin, and four Heisenberg spins. This model involving the Heisenberg exchange interaction is one of the few models that can be exactly solvable through the generalized star-triangle transformation. The significance of this model is its close relationship to the fully decorated quantum Heisenberg honeycomb lattice since 4/5 of the particles are Heisenberg spins. We investigate the phase diagram at zero temperature and identify a relevant quantum spin frustrated phase resulting from the contribution of quantum Heisenberg exchange interaction. We obtain an exact residual entropy for the quantum spin frustrated phase, which coincides with the residual entropy of the antiferromagnetic spin-1/2 Ising model on a triangular lattice. We also thoroughly explore its thermodynamic properties, focusing mainly on the frustrated region such as entropy, specific heat, spontaneous magnetization, and critical temperature under several conditions.We study the spin-1/2 Ising-XXZ model on a decorated honeycomb lattice composed of five spins per unit cell, one Ising spin, and four Heisenberg spins. This model involving the Heisenberg exchange interaction is one of the few models that can be exactly solvable through the generalized star-triangle transformation. The significance of this model is its close relationship to the fully decorated quantum Heisenberg honeycomb lattice since 4/5 of the particles are Heisenberg spins. We investigate the phase diagram at zero temperature and identify a relevant quantum spin frustrated phase resulting from the contribution of quantum Heisenberg exchange interaction. We obtain an exact residual entropy for the quantum spin frustrated phase, which coincides with the residual entropy of the antiferromagnetic spin-1/2 Ising model on a triangular lattice. We also thoroughly explore its thermodynamic properties, focusing mainly on the frustrated region such as entropy, specific heat, spontaneous magnetization, and critical temperature under several conditions.

arXiv:2206.06104Physical review. EJul 11, 20221 citation

MAGNETIC PROPERTIES OF THE RANDOM MIXTURE OF THE ONE-DIMENSIONAL SYSTEM WITH ANISO-TROPIC HEISENBERG EXCHANGE

Zhen‐Ya Li, YANG CHUAN-ZHANG, 苏州大学物理系

Acta Physica SinicaJan 1, 19850 citations

Thermal properties of spin-S Kitaev-Heisenberg model on a honeycomb lattice

Takafumi J. Suzuki, Youhei Yamaji

Physica B Condensed MatterSep 29, 201715 citations

High-temperature dynamics of the anisotropic spin-1/2 square lattice Heisenberg model studied by moment methods

Joachim Stolze, U. Brandt

The European Physical Journal BFeb 1, 19894 citations

Quantum phase diagram of a frustrated spin- $\frac{1}{2}$ $J_{1}$ -- $J_{2}$ -- $J_{1}^{\perp}$ Heisenberg model on an $AA$ -stacked bilayer honeycomb latticeQuantum phase diagram of a frustrated spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{1}^{\perp}$ Heisenberg model on an $AA$-stacked bilayer honeycomb lattice

P. H. Y. Li, R. F. Bishop

The zero-temperature quantum phase diagram of the spin- $\frac{1}{2}$ $J_{1}$ -- $J_{2}$ -- $J_{1}^{\perp}$ model on an $AA$ -stacked bilayer honeycomb lattice is investigated using the coupled cluster method (CCM). The model comprises two monolayers in each of which the spins, residing on honeycomb-lattice sites, interact via both nearest-neighbor (NN) and frustrating next-nearest-neighbor isotropic antiferromagnetic (AFM) Heisenberg exchange iteractions, with respective strengths $J_{1} > 0$ and $J_{2} \equiv \kappa J_{1}>0$ . The two layers are coupled via a comparable Heisenberg exchange interaction between NN interlayer pairs, with a strength $J_{1}^{\perp} \equiv \delta J_{1}$ . The complete phase boundaries of two quasiclassical collinear AFM phases, namely the Neel and Neel-II phases, are calculated in the $\kappa \delta$ half-plane with $\kappa > 0$ . Whereas on each monolayer in the Neel state all NN pairs of spins are antiparallel, in the Neel-II state NN pairs of spins on zigzag chains along one of the three equivalent honeycomb-lattice directions are antiparallel, while NN interchain spins are parallel. We calculate directly in the thermodynamic (infinite-lattice) limit both the magnetic order parameter $M$ and the excitation energy $\Delta$ from the $s^{z}_{T}=0$ ground state to the lowest-lying $|s^{z}_{T}|=1$ excited state (where $s^{z}_{T}$ is the total $z$ component of spin for the system as a whole, and where the collinear ordering lies along the $z$ direction) for both quasiclassical states used (separately) as the CCM model state, on top of which the multispin quantum correlations are then calculated to high orders ( $n \leq 10$ ) in a systematic series of approximations involving $n$ -spin clusters. The sole approximation made is then to extrapolate the sequences of $n$ th-order results for $M$ and $\Delta$ to the exact limit, $n \to \infty$ .The zero-temperature quantum phase diagram of the spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{1}^{\perp}$ model on an $AA$-stacked bilayer honeycomb lattice is investigated using the coupled cluster method (CCM). The model comprises two monolayers in each of which the spins, residing on honeycomb-lattice sites, interact via both nearest-neighbor (NN) and frustrating next-nearest-neighbor isotropic antiferromagnetic (AFM) Heisenberg exchange iteractions, with respective strengths $J_{1} > 0$ and $J_{2} \equiv \kappa J_{1}>0$. The two layers are coupled via a comparable Heisenberg exchange interaction between NN interlayer pairs, with a strength $J_{1}^{\perp} \equiv \delta J_{1}$. The complete phase boundaries of two quasiclassical collinear AFM phases, namely the Neel and Neel-II phases, are calculated in the $\kappa \delta$ half-plane with $\kappa > 0$. Whereas on each monolayer in the Neel state all NN pairs of spins are antiparallel, in the Neel-II state NN pairs of spins on zigzag chains along one of the three equivalent honeycomb-lattice directions are antiparallel, while NN interchain spins are parallel. We calculate directly in the thermodynamic (infinite-lattice) limit both the magnetic order parameter $M$ and the excitation energy $\Delta$ from the $s^{z}_{T}=0$ ground state to the lowest-lying $|s^{z}_{T}|=1$ excited state (where $s^{z}_{T}$ is the total $z$ component of spin for the system as a whole, and where the collinear ordering lies along the $z$ direction) for both quasiclassical states used (separately) as the CCM model state, on top of which the multispin quantum correlations are then calculated to high orders ($n \leq 10$) in a systematic series of approximations involving $n$-spin clusters. The sole approximation made is then to extrapolate the sequences of $n$th-order results for $M$ and $\Delta$ to the exact limit, $n \to \infty$.

May 3, 20180 citations

Quantum phase diagram of a frustrated spin-

\frac{1}{2}

J_{1}

J_{2}

J_{1}^{\perp}

Heisenberg model on an

AA

-stacked bilayer honeycomb lattice

The zero-temperature quantum phase diagram of the spin-

\frac{1}{2}

J_{1}

J_{2}

J_{1}^{\perp}

model on an

AA

-stacked bilayer honeycomb lattice is investigated using the coupled cluster method (CCM). The model comprises two monolayers in each of which the spins, residing on honeycomb-lattice sites, interact via both nearest-neighbor (NN) and frustrating next-nearest-neighbor isotropic antiferromagnetic (AFM) Heisenberg exchange iteractions, with respective strengths

J_{1} > 0

and

J_{2} \equiv \kappa J_{1}>0

. The two layers are coupled via a comparable Heisenberg exchange interaction between NN interlayer pairs, with a strength

J_{1}^{\perp} \equiv \delta J_{1}

. The complete phase boundaries of two quasiclassical collinear AFM phases, namely the Neel and Neel-II phases, are calculated in the

\kappa \delta

half-plane with

\kappa > 0

. Whereas on each monolayer in the Neel state all NN pairs of spins are antiparallel, in the Neel-II state NN pairs of spins on zigzag chains along one of the three equivalent honeycomb-lattice directions are antiparallel, while NN interchain spins are parallel. We calculate directly in the thermodynamic (infinite-lattice) limit both the magnetic order parameter

M

and the excitation energy

\Delta

from the

s^{z}_{T}=0

ground state to the lowest-lying

|s^{z}_{T}|=1

excited state (where

s^{z}_{T}

is the total

z

component of spin for the system as a whole, and where the collinear ordering lies along the

z

direction) for both quasiclassical states used (separately) as the CCM model state, on top of which the multispin quantum correlations are then calculated to high orders (

n \leq 10

) in a systematic series of approximations involving

n

-spin clusters. The sole approximation made is then to extrapolate the sequences of

n

th-order results for

M

and

\Delta

to the exact limit,

n \to \infty