Bose glass (BG) is the Griffiths region of the disordered BHM. Similarly, disordered solid (DS) acts as the Griffiths region in EBHM with disorder. Then, what happens to BG phases in EBHM with disorder? Can BG and DS phase coexist in EBHM in presence of disorder?
Hi Sukla,
Your question is very interesting and it has been recommended to me by Prof. Contreras. I haven't been into disordered systems for some time, so I may be missing updates on the field. As far as I remember, the BG is still present when you consider diagonal disorder in the EBHM, as you can see here: https://www.nature.com/articles/s41598-017-13040-9
It is just a matter of how the transition is being driven, viz. by density or totally by quantum fluctuations.
I'm not sure, however, if the Mott glass phase would still be present when you add off-diagonal disorder.
Hi Bruno R. de Abreu ,
Thank you very much for the suggestions. I had a look on that reference earlier. This is really very interesting and informative article. I came across about the disordered solid (DS) phase from this paper. What I really did not find here is the fate of BG phase clearly in EBHM. I mean the phase diagrams reported in this paper does not include BG phase. Also the paper claims to explore on BG-DS phase boundary in EBHM in their future study.
Also since you have mentioned about Mott glass phase, I am interested about that phase. After doing literature survey I came across that this phase is very controversial. Do you have any thoughts over this phase? Any suggestions over this topic will really be very helpful.
Sukla Pal
Indeed, it just seems like they had some data indicating a non-gapped phase. Not sure if they went further that way, I couldn't find anything. And I think you haven't found it because nobody answered your question yet. There's probably speculation grounded on general RG arguments, but I don't think simulations have been performed -- remember we're talking about a quench-disordered extended model near a Griffiths phase, it takes a lot of resources.
Regarding the Mott glass... I'm not sure which controversies you're referring to. I don't remember finding it any weird, but I'm probably quite biased cause I talked to Thomas Vojta a couple of times about it. You've probably seen his papers, but that's what I'd recommend you.
This just came to me: Article Dynamical correlations and a quantum glass phase in a random...
Thank you Prof. P. Contreras for suggesting the relevant and interesting articles. I would like to provide a one line introduction of supersolid that you mentioned once before. As far as I know, a quantum phase can be called a Supersolid phase if it develops regular crystalline order (property of solid which is detectable by spectroscopic measurements) superimposed with its superfluid nature. Both of these property has to be present simultaneously to call a quantum phase 'super solid'.
Thank you very much Bruno R. de Abreu for bringing our attention into this recent interesting article. In this regard, I just wanted to mention another work by the same authors two years earlier. You may already have come across this. But in case you don't, here is the link.
Article Quantum Glass of Interacting Bosons with Off-Diagonal Disorder
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