从做实验到做理论的转型，我的一年发表2篇SCI的经验体会[续]。
在第1篇的经验和前提下，我又针对另外一个题目写了第二篇文章，两篇没有多少知识上的联系。2月后编辑寄回审稿人意见如下：Reviewer #1: The authors studied *************, modeled
by a generalized Anderson impurity Hamiltonian.
The Coulomb interaction were taken into account,
using a Hubbard-I type decoupling approximation
which truncates a hierarchy of the equation of motion
for the Green's functions. Although the formulation
itself is not new, the geometrical configuration of
the *******as shown in Fig.1, to my knowledge,
has not been examined in detail so far by other people.
Since the configuration might be realized experimentally
in future, the calculations of this kind can provide
a practical guide which is applicable to high-energy
properties outside the Kondo regime. However, I have
found some points, which should be checked out,
before considering the paper for the publication.
The following is the points:
1) I think that the model described by Eq.(2) and Fig.1
does possesses the symmetry for
$\varepsilon^0 = -U_j^{0(a,b)}/2$ even when the couplings
to the side-dot are switched on. The authors claim it
does not, and the solid line in Fig.6 is asymmetric.
It sounds very strange to me, and I suspect that there
must be an error in the calculations. The authors
should correct the results if they resolve the problem.
If not, the reason why the symmetry vanishes
for the side-coupled array should be provided clearly
in the text.
2) The error might also have affected the results shown in Fig.7.
If this is the case, Fig.7 should also be corrected.
我拿到审稿人的意见后对自己的计算也提出了怀疑，但是在仔细检查后认为自己的计算及推导过程是无误的，决心写辩驳信：写信之前，又查阅了大量的参考文献，回信大致如下：
Dear Editor：
We gratefully acknowledge critical comments of the referee, which led to a substantial improvement of the paper. We are pleased to answer the questions of the reviewers’ and the manuscript (××××) has also been extensively revised according to the comments (resubmitted online). The answer to reviewers’ questions is below:
(i). The Hamiltonian is ×－× symmetric when the model has special condition and topology, where the energy spectrum of the electrons is equal to the spectrum of holes. With some special condition and topological configuration, the symmetry can be destroyed, though the geometrical configuration of the system is symmetry.
For example:
In an isolated N=3 ××× system, when we take intra-dot Coulomb repulsion into account ，There are six single-electron states: (1) dot 1, spin up; (2) dot 1, spin down; (3) dot 2, spin up; (4) dot 2, spin down; (5) dot 3, spin up; (6) dot 3, spin down. In our paper, and , there are some states are degenerate and Hamiltonian can be written as:
. (1)
We can get the single-electron energy spectrum consists of three equally spaced levels: , , . The single-hole states are electron-hole complement states of the five-electron states when there is no inter-dot repulsion. The single-hole Hamiltonian can be obtained from the single-electron Hamiltonian by appropriately modifying the diagonal terms and setting tij↔−tij. The Hamiltonian can be written as:
, (2)
with . is the single-hole energy. The single-hole levels are: , , ( , , ). We can know that the system has electron-hole symmetry when the . When we take inter-dot repulsion into account, Eq. (2) must been modified as:
, (3)
where V is inter-dot repulsion.
We can know that the electron–hole symmetry has been destroyed and the change of the diagonal terms in Eq. (3) is the reason of it.
(ⅱ). We have added some comment that explained the reason why the electron-hole symmetry vanishes for the side-coupled array in the page 10.
(ⅲ). We have added some reference on the electron-hole symmetry in the page 13.
Best wishes,
sincerely yours
×××.
回信3天后，编辑来信告知稿件接受，15天后出校对稿，所以有的时候要坚信自己的观点。^_^很顺利就完成了第二篇，到此时刚好读博士一年零几天。
好了，很晚了，就写到这里吧，希望对大家的科研之路有所帮助，起到一种抛砖引玉的作用。
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