I've been studying them for a few years now and will now offer my observations to those interested. The reason why there's no looting in Japan is a result of their uniquely homogeneous population combined with the unique culture that they have been forced to develop as a result of their perilous location, where there's a quake every 5 minutes on average, where tsunamis are so abundant they came up with the name 'tsunami' in the first place, and where there's no dearth of fires and typhoons.

To deal with this high probability of disaster, they have become ants(updated below). What's that? Ants live in a world where disasters many orders of magnitude more than an individual ant can handle, occur multiple times a day - colonies getting crushed by predators, flooded with water from human habitats, food they chance upon is multiple hundred times an individual ant's weight etc etc. To deal with this, they have evolved into the 'superorganism', which is a fancy word for saying every individual will put the community first and themselves second, which enables the whole colony to move and work as if it has -one and the same- mind. So if a colony gets destroyed, there's no looting or in-fighting in ant-colonies... they all move as if they possess the same mind, with the ants who were in-charge of foraging for food run out as a team to find the next suitable space for the colony while the ants in-charge of the colony' larvae protect it for the moment till the time is right to re-locate and so on.

Becoming a superorganism is the only way for the ants to deal with the catastrophe of the magnitude that they face everyday and still ensure the survival of the majority of the colony successfully - they have to put the colony first and the individual second. Unlike the simple minded ants, humans are far more intelligent, hence independent, than ants, making it harder for human societies to function with the kind of 'one-ness' the ant colonies show. But the Japanese, thanks to their largely homogeneous population, are the closest human equivalent to the superorganism.

Being in a country where they know that a disaster of such magnitude is inevitable, they have evolved into a culture of disaster recovery than disaster prevention -"It's not possible to prevent disasters, too numerous, too powerful. So let's focus on recovering from the disasters with the least cost to time, people and resources." They do this by being fast & efficient(you know where JIT, Kaizen come from) and function as if having the same mind (even their language has evolved to support this way of functioning with the strange third-person like way of speaking which I believe is called 気遣い, kidukai or consideration). By trying to become a superorganism, they achieve the same benefits that the ants do - incredibly fast and efficient disaster recovery, but they also show the same side-effects - no looting or in-fighting, fiercely protective of their homogeneity (again, their language has evolved to support this with something called Katakana where non-native words like 'Advanced Cartridge Slot' are turned into pure Japanese sounds - アドバンスカートリッジスロット which is pronounced as adobansukaatorijjisurotto, all native Japanese sounds), clearly visible patterns in the way they work, highly rigid social pecking order (Senpai+Kouhai, gekokujō), outliers will be punished and so on.

This unique culture is why they survived a 'surprise' nuclear attack (emphasis on surprise as it is many orders of magnitude easier to deal with something you know about than it is to deal with something that is happening for the first time in history) and came back to be who they are today. This is all made possible by their homogeneous population and such strategies will fall flat on its face anywhere outside of Japan.

Just my 2 cents.

update: My comparison with the ant-colonies is not meant to belittle the Japanese but to show how their community has evolved similar to the ant-colony superorganism. If tiger communities behaved like a superorganism I'd have used tigers. The focus of my comment is on the 'nature' of ants and not on their physical properties.

俺の国語より日本語上手いんだぜ。大好きっていうレヴェルで住むことじゃねよ。なんで好きな人たちの悪口言うわけ！