Thanks for reply. Yes, I used the whole genome of hg19 as reference. I did the FASTQC and the Adapt Content check shows there might be Illumina Universal Adapter:

I checked the adapter which is AGATCGGAAGAG, then I used cutadapt to trim it from 3'-end from both R1 and R2 sequence:
cutadapt -a AGATCGGAAGAG -o R1.trimmed.fastq.gz -p R2.trimmed.fastq.gz R1.fastq.gz R2.fastq.gz
then I find there are repeated sequences near the 5'-end in R1, then trim this from R1 only:
cutadapt -g SEPCIFIC_SEQ -o R1.trimmed1.fastq.gz R1.trimmed.fastq.gz
I did not find any pattern seq in R2, so I did not do anything to R2.trimmed.fastq.gz.
I also aligned R1 and R2 separately to the reference genome, from the summary, I found the R1 trimmed adapter and barcode looks normal, but R2 is still bad (the percentage of aligned 0 times):


