We study heat transport in a one-dimensional inhomogeneous quantum spin-1/2 system. It consists of a finite-size $XX$ spin chain coupled at its ends to semi-infinite $XX$ and $XY$ chains at different temperatures, which play the role of heat and spin reservoirs. After using the Jordan-Wigner transformation we map the original spin Hamiltonian into a fermionic Hamiltonian, which contains normal and pairing terms. We find the expressions for the heat currents and solve the problem with a nonequilibrium Green's-function formalism. We analyze the behavior of the heat currents as functions of the model parameters. When finite magnetic fields are applied at the two reservoirs, the system exhibits rectifying effects in the heat flow.We study heat transport in a one-dimensional inhomogeneous quantum spin-1/2 system. It consists of a finite-size $XX$ spin chain coupled at its ends to semi-infinite $XX$ and $XY$ chains at different temperatures, which play the role of heat and spin reservoirs. After using the Jordan-Wigner transformation we map the original spin Hamiltonian into a fermionic Hamiltonian, which contains normal and pairing terms. We find the expressions for the heat currents and solve the problem with a nonequilibrium Green's-function formalism. We analyze the behavior of the heat currents as functions of the model parameters. When finite magnetic fields are applied at the two reservoirs, the system exhibits rectifying effects in the heat flow.

arXiv:0903.3671Physical Review BJul 23, 200947 citations

Heat transport in quantum spin chains

Carlos Mejía-Monasterio, Hannu Christian Wichterich

arXiv:0709.1412The European Physical Journal Special TopicsDec 1, 200736 citations

One-dimensional quantum spin heterojunction as a thermal switch

Chuan-Jing Yang, Li-Hui Jin, Wei‐Jiang Gong

We study the thermal transport through a quantum spin-[Formula: see text] heterojunction, which consists of a finite-size chain with two-site anisotropic XY interaction and three-site XZX+YZY interaction coupled at its ends to two semi-infinite isotropic XY chains. By performing the Jordan–Wigner transformation, the original spin Hamiltonian is mapped onto a fermionic Hamiltonian. Then, the fermionic structure is discussed, and the heat current as a function of structural parameters is evaluated. It is found that the magnetic fields applied at respective chains play different roles in adjusting the heat current in this heterojunction. Moreover, the interplay between the anisotropy of the XY interaction and the three-site spin interaction assists to further control the thermal transport. In view of the numerical results, we propose this heterojunction to be an alternate candidate for manipulating the heat current in one-dimensional (1D) systems.We study the thermal transport through a quantum spin-[Formula: see text] heterojunction, which consists of a finite-size chain with two-site anisotropic XY interaction and three-site XZX+YZY interaction coupled at its ends to two semi-infinite isotropic XY chains. By performing the Jordan–Wigner transformation, the original spin Hamiltonian is mapped onto a fermionic Hamiltonian. Then, the fermionic structure is discussed, and the heat current as a function of structural parameters is evaluated. It is found that the magnetic fields applied at respective chains play different roles in adjusting the heat current in this heterojunction. Moreover, the interplay between the anisotropy of the XY interaction and the three-site spin interaction assists to further control the thermal transport. In view of the numerical results, we propose this heterojunction to be an alternate candidate for manipulating the heat current in one-dimensional (1D) systems.

International Journal of Modern Physics BMar 1, 20161 citation

Cluster Heat Bath Method on a Quasi-One-Dimensional Ising Model

Osamu Koseki, Fumitaka Matsubara

We have proposed a cluster heat bath(CHB) method of a quasi-one dimensional Ising model and demonstrated that it reproduces the exact results of the two dimensional Ising model with axially anisotropic exchange interactions. The point of the method is to select one of the equilibrium spin configurations of each of the chains which are subjected by effective fields of surrounding spins. Thus the chains are always in their equilibrium state during the simulation and the $d$ dimensional model effectively becomes as a $d-1$ dimensional model of fictitious spins with their freedom of $2^N$ and the simulation time is drastically reduced, where $N$ is the number of the spins on the chain.We have proposed a cluster heat bath(CHB) method of a quasi-one dimensional Ising model and demonstrated that it reproduces the exact results of the two dimensional Ising model with axially anisotropic exchange interactions. The point of the method is to select one of the equilibrium spin configurations of each of the chains which are subjected by effective fields of surrounding spins. Thus the chains are always in their equilibrium state during the simulation and the $d$ dimensional model effectively becomes as a $d-1$ dimensional model of fictitious spins with their freedom of $2^N$ and the simulation time is drastically reduced, where $N$ is the number of the spins on the chain.

arXiv:cond-mat/9612023Journal of the Physical Society of JapanFeb 15, 199723 citations

The One-Dimensional Quantum Spin Chain

Naoto Nagaosa

Springer eBooksJan 1, 19990 citations

We study heat transport in a one-dimensional inhomogeneous quantum spin-1/2 system. It consists of a finite-size

XX

spin chain coupled at its ends to semi-infinite

XX

and

XY

chains at different temperatures, which play the role of heat and spin reservoirs. After using the Jordan-Wigner transformation we map the original spin Hamiltonian into a fermionic Hamiltonian, which contains normal and pairing terms. We find the expressions for the heat currents and solve the problem with a nonequilibrium Green's-function formalism. We analyze the behavior of the heat currents as functions of the model parameters. When finite magnetic fields are applied at the two reservoirs, the system exhibits rectifying effects in the heat flow.

d

dimensional model effectively becomes as a

d-1

dimensional model of fictitious spins with their freedom of

2^N

and the simulation time is drastically reduced, where

N

is the number of the spins on the chain.