Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lock-in transition of charge density waves in quasi-one-dimensional
  conductors: reinterpretation of McMillan's theory   We investigated the lock-in transition of charge density waves (CDWs) in
quasi-one-dimensional conductors, based on McMillan's free energy. The
higher-order umklapp terms play an essential role in this study. McMillan's
theory was extended by Nakanishi and Shiba in order to treat multiple CDW
vectors. Although their theories were aimed at understanding CDWs in
quasi-two-dimensional conductors, we applied them to the quasi-one-dimensional
conductors, including K$_{0.3}$MoO$_3$, NbSe$_3$, and $m$-TaS$_3$, and
confirmed its validity for these cases. Then we discussed our previous
experimental result of $o$-TaS$_3$, which revealed the coexistence of
commensurate and incommensurate states. We found that the coexistence of
multiple CDW vectors is essential for the lock-in transition to occur in
$o$-TaS$_3$. The even- and odd-order terms in the free energy play roles for
amplitude development and phase modulation, respectively. Moreover,
consideration of the condition of being commensurate CDWs allowed us to relate
it with that of the weak localization in random media.

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The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg