Although the query is honestly specific to my miserable performance in PGRE for an international student , the answer might help a few more.
I have an otherwise decent record with good grades in my master's (done at a leading research institute of India), 330 in GRE(Q167,V163,W4), extensive research experience in condensed matter theory, a first author paper in preparation which is to be sent for peer review soon (prl or prb). But my PGRE is quite low at 840.
Are there any grad schools, if at all, where a candidate like me will have a significant chance to get in? Or in other words is there generally any hard cut off even in the mid to bottom tier schools for international applicants?