The Experts below are selected from a list of 360 Experts worldwide ranked by ideXlab platform
Wenli Yang - One of the best experts on this subject based on the ideXlab platform.
-
Thermodynamic Limit of the spin 1 2 frac 1 2 xyz spin chain with the antiperiodic boundary condition
Journal of High Energy Physics, 2020Co-Authors: Zhirong Xin, Tao Yang, Junpeng Cao, Yusong Cao, Wenli YangAbstract:Based on its off-diagonal Bethe ansatz solution, we study the Thermodynamic Limit of the spin- $$ \frac{1}{2} $$ XYZ spin chain with the antiperiodic boundary condition. The key point of our method is that there exist some degenerate points of the crossing parameter ηm,l, at which the associated inhomogeneous T − Q relation becomes a homogeneous one. This makes extrapolating the formulae deriving from the homogeneous one to an arbitrary η with O(N −2) corrections for a large N possible. The ground state energy and elementary excitations of the system are obtained. By taking the trigonometric Limit, we also give the results of antiperiodic XXZ spin chain within the gapless region in the Thermodynamic Limit, which does not have any degenerate points.
-
Thermodynamic Limit and twisted boundary energy of the xxz spin chain with antiperiodic boundary condition
Nuclear Physics, 2018Co-Authors: Zhirong Xin, Junpeng Cao, Kun Hao, Wenli Yang, Kangjie Shi, Yi Qiao, Yupeng WangAbstract:Abstract We investigate the Thermodynamic Limit of the inhomogeneous T − Q relation of the antiferromagnetic XXZ spin chain with antiperiodic boundary condition. It is shown that the contribution of the inhomogeneous term for the ground state can be neglected when the system-size N tends to infinity, which enables us to reduce the inhomogeneous Bethe ansatz equations (BAEs) to the homogeneous ones. Then the quantum numbers at the ground states are obtained, by which the system with arbitrary size can be studied. We also calculate the twisted boundary energy of the system.
-
Thermodynamic Limit and boundary energy of the su 3 spin chain with non diagonal boundary fields
Nuclear Physics, 2017Co-Authors: Fakai Wen, Tao Yang, Zhanying Yang, Junpeng Cao, Kun Hao, Wenli YangAbstract:Abstract We investigate the Thermodynamic Limit of the s u ( n ) -invariant spin chain models with unparallel boundary fields. It is found that the contribution of the inhomogeneous term in the associated T–Q relation to the ground state energy does vanish in the Thermodynamic Limit. This fact allows us to calculate the boundary energy of the system. Taking the s u ( 2 ) (or the XXX) spin chain and the s u ( 3 ) spin chain as concrete examples, we have studied the corresponding boundary energies of the models. The method used in this paper can be generalized to study the Thermodynamic properties and boundary energy of other high rank models with non-diagonal boundary fields.
-
Thermodynamic Limit and surface energy of the xxz spin chain with arbitrary boundary fields
Nuclear Physics, 2014Co-Authors: Junpeng Cao, Wenli Yang, Kangjie Shi, Yupeng WangAbstract:In two previous papers [26,27] the exact solutions of the spin-1/2 chains with arbitrary boundary fields were constructed via the off-diagonal Bethe ansatz (ODBA). Here we introduce a method to approach the Thermodynamic Limit of those models. The key point is that at a sequence of degenerate points of the crossing parameter eta = eta(m), the off-diagonal Bethe ansatz equations (BAEs) can be reduced to the conventional ones. This allows us to extrapolate the formulae derived from the reduced BAEs to arbitrary eta case with O(N-2) corrections in the Thermodynamic Limit N -> infinity. As an example the surface energy of the XXZ spin chain model with arbitrary boundary magnetic fields is derived exactly. This approach can be generalized to all the ODBA solvable models. (C) 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/). Funded by SCOAP(3).
Junpeng Cao - One of the best experts on this subject based on the ideXlab platform.
-
Thermodynamic Limit of the spin 1 2 frac 1 2 xyz spin chain with the antiperiodic boundary condition
Journal of High Energy Physics, 2020Co-Authors: Zhirong Xin, Tao Yang, Junpeng Cao, Yusong Cao, Wenli YangAbstract:Based on its off-diagonal Bethe ansatz solution, we study the Thermodynamic Limit of the spin- $$ \frac{1}{2} $$ XYZ spin chain with the antiperiodic boundary condition. The key point of our method is that there exist some degenerate points of the crossing parameter ηm,l, at which the associated inhomogeneous T − Q relation becomes a homogeneous one. This makes extrapolating the formulae deriving from the homogeneous one to an arbitrary η with O(N −2) corrections for a large N possible. The ground state energy and elementary excitations of the system are obtained. By taking the trigonometric Limit, we also give the results of antiperiodic XXZ spin chain within the gapless region in the Thermodynamic Limit, which does not have any degenerate points.
-
Thermodynamic Limit and twisted boundary energy of the xxz spin chain with antiperiodic boundary condition
Nuclear Physics, 2018Co-Authors: Zhirong Xin, Junpeng Cao, Kun Hao, Wenli Yang, Kangjie Shi, Yi Qiao, Yupeng WangAbstract:Abstract We investigate the Thermodynamic Limit of the inhomogeneous T − Q relation of the antiferromagnetic XXZ spin chain with antiperiodic boundary condition. It is shown that the contribution of the inhomogeneous term for the ground state can be neglected when the system-size N tends to infinity, which enables us to reduce the inhomogeneous Bethe ansatz equations (BAEs) to the homogeneous ones. Then the quantum numbers at the ground states are obtained, by which the system with arbitrary size can be studied. We also calculate the twisted boundary energy of the system.
-
Thermodynamic Limit and boundary energy of the su 3 spin chain with non diagonal boundary fields
Nuclear Physics, 2017Co-Authors: Fakai Wen, Tao Yang, Zhanying Yang, Junpeng Cao, Kun Hao, Wenli YangAbstract:Abstract We investigate the Thermodynamic Limit of the s u ( n ) -invariant spin chain models with unparallel boundary fields. It is found that the contribution of the inhomogeneous term in the associated T–Q relation to the ground state energy does vanish in the Thermodynamic Limit. This fact allows us to calculate the boundary energy of the system. Taking the s u ( 2 ) (or the XXX) spin chain and the s u ( 3 ) spin chain as concrete examples, we have studied the corresponding boundary energies of the models. The method used in this paper can be generalized to study the Thermodynamic properties and boundary energy of other high rank models with non-diagonal boundary fields.
-
Thermodynamic Limit and surface energy of the xxz spin chain with arbitrary boundary fields
Nuclear Physics, 2014Co-Authors: Junpeng Cao, Wenli Yang, Kangjie Shi, Yupeng WangAbstract:In two previous papers [26,27] the exact solutions of the spin-1/2 chains with arbitrary boundary fields were constructed via the off-diagonal Bethe ansatz (ODBA). Here we introduce a method to approach the Thermodynamic Limit of those models. The key point is that at a sequence of degenerate points of the crossing parameter eta = eta(m), the off-diagonal Bethe ansatz equations (BAEs) can be reduced to the conventional ones. This allows us to extrapolate the formulae derived from the reduced BAEs to arbitrary eta case with O(N-2) corrections in the Thermodynamic Limit N -> infinity. As an example the surface energy of the XXZ spin chain model with arbitrary boundary magnetic fields is derived exactly. This approach can be generalized to all the ODBA solvable models. (C) 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/). Funded by SCOAP(3).
Yupeng Wang - One of the best experts on this subject based on the ideXlab platform.
-
Thermodynamic Limit and twisted boundary energy of the xxz spin chain with antiperiodic boundary condition
Nuclear Physics, 2018Co-Authors: Zhirong Xin, Junpeng Cao, Kun Hao, Wenli Yang, Kangjie Shi, Yi Qiao, Yupeng WangAbstract:Abstract We investigate the Thermodynamic Limit of the inhomogeneous T − Q relation of the antiferromagnetic XXZ spin chain with antiperiodic boundary condition. It is shown that the contribution of the inhomogeneous term for the ground state can be neglected when the system-size N tends to infinity, which enables us to reduce the inhomogeneous Bethe ansatz equations (BAEs) to the homogeneous ones. Then the quantum numbers at the ground states are obtained, by which the system with arbitrary size can be studied. We also calculate the twisted boundary energy of the system.
-
Thermodynamic Limit and surface energy of the xxz spin chain with arbitrary boundary fields
Nuclear Physics, 2014Co-Authors: Junpeng Cao, Wenli Yang, Kangjie Shi, Yupeng WangAbstract:In two previous papers [26,27] the exact solutions of the spin-1/2 chains with arbitrary boundary fields were constructed via the off-diagonal Bethe ansatz (ODBA). Here we introduce a method to approach the Thermodynamic Limit of those models. The key point is that at a sequence of degenerate points of the crossing parameter eta = eta(m), the off-diagonal Bethe ansatz equations (BAEs) can be reduced to the conventional ones. This allows us to extrapolate the formulae derived from the reduced BAEs to arbitrary eta case with O(N-2) corrections in the Thermodynamic Limit N -> infinity. As an example the surface energy of the XXZ spin chain model with arbitrary boundary magnetic fields is derived exactly. This approach can be generalized to all the ODBA solvable models. (C) 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/). Funded by SCOAP(3).
Zhirong Xin - One of the best experts on this subject based on the ideXlab platform.
-
Thermodynamic Limit of the spin 1 2 frac 1 2 xyz spin chain with the antiperiodic boundary condition
Journal of High Energy Physics, 2020Co-Authors: Zhirong Xin, Tao Yang, Junpeng Cao, Yusong Cao, Wenli YangAbstract:Based on its off-diagonal Bethe ansatz solution, we study the Thermodynamic Limit of the spin- $$ \frac{1}{2} $$ XYZ spin chain with the antiperiodic boundary condition. The key point of our method is that there exist some degenerate points of the crossing parameter ηm,l, at which the associated inhomogeneous T − Q relation becomes a homogeneous one. This makes extrapolating the formulae deriving from the homogeneous one to an arbitrary η with O(N −2) corrections for a large N possible. The ground state energy and elementary excitations of the system are obtained. By taking the trigonometric Limit, we also give the results of antiperiodic XXZ spin chain within the gapless region in the Thermodynamic Limit, which does not have any degenerate points.
-
Thermodynamic Limit and twisted boundary energy of the xxz spin chain with antiperiodic boundary condition
Nuclear Physics, 2018Co-Authors: Zhirong Xin, Junpeng Cao, Kun Hao, Wenli Yang, Kangjie Shi, Yi Qiao, Yupeng WangAbstract:Abstract We investigate the Thermodynamic Limit of the inhomogeneous T − Q relation of the antiferromagnetic XXZ spin chain with antiperiodic boundary condition. It is shown that the contribution of the inhomogeneous term for the ground state can be neglected when the system-size N tends to infinity, which enables us to reduce the inhomogeneous Bethe ansatz equations (BAEs) to the homogeneous ones. Then the quantum numbers at the ground states are obtained, by which the system with arbitrary size can be studied. We also calculate the twisted boundary energy of the system.
Tao Yang - One of the best experts on this subject based on the ideXlab platform.
-
Thermodynamic Limit of the spin 1 2 frac 1 2 xyz spin chain with the antiperiodic boundary condition
Journal of High Energy Physics, 2020Co-Authors: Zhirong Xin, Tao Yang, Junpeng Cao, Yusong Cao, Wenli YangAbstract:Based on its off-diagonal Bethe ansatz solution, we study the Thermodynamic Limit of the spin- $$ \frac{1}{2} $$ XYZ spin chain with the antiperiodic boundary condition. The key point of our method is that there exist some degenerate points of the crossing parameter ηm,l, at which the associated inhomogeneous T − Q relation becomes a homogeneous one. This makes extrapolating the formulae deriving from the homogeneous one to an arbitrary η with O(N −2) corrections for a large N possible. The ground state energy and elementary excitations of the system are obtained. By taking the trigonometric Limit, we also give the results of antiperiodic XXZ spin chain within the gapless region in the Thermodynamic Limit, which does not have any degenerate points.
-
Thermodynamic Limit and boundary energy of the su 3 spin chain with non diagonal boundary fields
Nuclear Physics, 2017Co-Authors: Fakai Wen, Tao Yang, Zhanying Yang, Junpeng Cao, Kun Hao, Wenli YangAbstract:Abstract We investigate the Thermodynamic Limit of the s u ( n ) -invariant spin chain models with unparallel boundary fields. It is found that the contribution of the inhomogeneous term in the associated T–Q relation to the ground state energy does vanish in the Thermodynamic Limit. This fact allows us to calculate the boundary energy of the system. Taking the s u ( 2 ) (or the XXX) spin chain and the s u ( 3 ) spin chain as concrete examples, we have studied the corresponding boundary energies of the models. The method used in this paper can be generalized to study the Thermodynamic properties and boundary energy of other high rank models with non-diagonal boundary fields.
