scholarly journals Exact surface energy and helical spinons in the XXZ spin chain with arbitrary nondiagonal boundary fields

2021 ◽  
Vol 103 (22) ◽  
Author(s):  
Yi Qiao ◽  
Junpeng Cao ◽  
Wen-Li Yang ◽  
Kangjie Shi ◽  
Yupeng Wang
Keyword(s):  
Surface Energy ◽  
Spin Chain ◽  
Boundary Fields

scholarly journals Surface energy and elementary excitations of the XXZ spin chain with arbitrary boundary fields

2019 ◽  
Vol 52 (26) ◽  
pp. 265201 ◽  
Author(s):  
Pei Sun ◽  
Zhi-Rong Xin ◽  
Yi Qiao ◽  
Kun Hao ◽  
Like Cao ◽  
...  
Keyword(s):  
Surface Energy ◽  
Spin Chain ◽  
Elementary Excitations ◽  
Arbitrary Boundary ◽  
Boundary Fields

scholarly journals Thermodynamic limit and surface energy of the XXZ spin chain with arbitrary boundary fields

2014 ◽  
Vol 884 ◽  
pp. 17-27 ◽  
Author(s):  
Yuan-Yuan Li ◽  
Junpeng Cao ◽  
Wen-Li Yang ◽  
Kangjie Shi ◽  
Yupeng Wang
Keyword(s):  
Surface Energy ◽  
Thermodynamic Limit ◽  
Spin Chain ◽  
Arbitrary Boundary ◽  
Boundary Fields

Exact solution of XXZ spin chain with unparallel boundary fields

2003 ◽  
Vol 663 (3) ◽  
pp. 487-519 ◽  
Author(s):  
Junpeng Cao ◽  
Hai-Qing Lin ◽  
Kang-Jie Shi ◽  
Yupeng Wang
Keyword(s):  
Exact Solution ◽  
Spin Chain ◽  
Boundary Fields

scholarly journals Duality and quantum-algebra symmetry of the AN−1(1) open spin chain with diagonal boundary fields

1998 ◽  
Vol 530 (3) ◽  
pp. 641-664 ◽  
Author(s):  
Anastasia Doikou ◽  
Rafael I. Nepomechie
Keyword(s):  
Spin Chain ◽  
Quantum Algebra ◽  
Boundary Fields

scholarly journals Surface energy of the one-dimensional supersymmetric t − J model with unparallel boundary fields

2018 ◽  
Vol 2018 (6) ◽  
Author(s):  
Fakai Wen ◽  
Zhan-Ying Yang ◽  
Tao Yang ◽  
Kun Hao ◽  
Junpeng Cao ◽  
...  
Keyword(s):  
Surface Energy ◽  
One Dimensional ◽  
The One ◽  
Boundary Fields

scholarly journals Thermodynamic limit and boundary energy of the su (3) spin chain with non-diagonal boundary fields

2017 ◽  
Vol 915 ◽  
pp. 119-134 ◽  
Author(s):  
Fakai Wen ◽  
Tao Yang ◽  
Zhanying Yang ◽  
Junpeng Cao ◽  
Kun Hao ◽  
...  
Keyword(s):  
Thermodynamic Limit ◽  
Spin Chain ◽  
Boundary Energy ◽  
Boundary Fields

The annealed (0001) α-alumina surface and its influence on thin-film growth

1995 ◽  
Vol 53 ◽  
pp. 336-337
Author(s):  
Michael W. Bench ◽  
Paul G. Kotula ◽  
C. Barry Carter
Keyword(s):  
Electron Microscopy ◽  
Surface Energy ◽  
Film Growth ◽  
Thin Film Growth ◽  
Energy Calculations ◽  
Transmission Electron ◽  
Reflection Electron Microscopy ◽  
Low Energy Electron ◽  
Surface Nature

The growth of semiconductors, superconductors, metals, and other insulators has been investigated using alumina substrates in a variety of orientations. The surface state of the alumina (for example surface reconstruction and step nature) can be expected to affect the growth nature and quality of the epilayers. As such, the surface nature has been studied using a number of techniques including low energy electron diffraction (LEED), reflection electron microscopy (REM), transmission electron microscopy (TEM), molecular dynamics computer simulations, and also by theoretical surface energy calculations. In the (0001) orientation, the bulk alumina lattice can be thought of as a layered structure with A1-A1-O stacking. This gives three possible terminations of the bulk alumina lattice, with theoretical surface energy calculations suggesting that termination should occur between the Al layers. Thus, the lattice often has been described as being made up of layers of (Al-O-Al) unit stacking sequences. There is a 180° rotation in the surface symmetry of successive layers and a total of six layers are required to form the alumina unit cell.

The nucleation of cavities at grain boundaries

1987 ◽  
Vol 45 ◽  
pp. 288-291
Author(s):  
P. J. Goodhew
Keyword(s):  
Surface Tension ◽  
Surface Energy ◽  
Grain Boundaries ◽  
Radiation Damage ◽  
Impurity Concentration ◽  
Driving Force ◽  
Nucleation And Growth ◽  
Phase Boundaries ◽  
Cavity Nucleation ◽  
Spherical Bubble

Cavity nucleation and growth at grain and phase boundaries is of concern because it can lead to failure during creep and can lead to embrittlement as a result of radiation damage. Two major types of cavity are usually distinguished: The term bubble is applied to a cavity which contains gas at a pressure which is at least sufficient to support the surface tension (2g/r for a spherical bubble of radius r and surface energy g). The term void is generally applied to any cavity which contains less gas than this, but is not necessarily empty of gas. A void would therefore tend to shrink in the absence of any imposed driving force for growth, whereas a bubble would be stable or would tend to grow. It is widely considered that cavity nucleation always requires the presence of one or more gas atoms. However since it is extremely difficult to prepare experimental materials with a gas impurity concentration lower than their eventual cavity concentration there is little to be gained by debating this point.

Stretched exponential decay in an asymmetric $\mathsf{+ / -}~J$ spin chain

1991 ◽  
Vol 1 (1) ◽  
pp. 13-18 ◽  
Author(s):  
H. Rieger
Keyword(s):  
Exponential Decay ◽  
Spin Chain ◽  
Stretched Exponential ◽  
Stretched Exponential Decay
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