Now, researchers at the Massachusetts Institute of Technology and the U.S. Department of Energy's Brookhaven National Laboratory have combined two state-of-the-art experimental techniques to study those electron waves with unprecedented precision in two-dimensional, custom-grown materials. The surprising results, published online February 24, 2013, in the journal Nature Materials, reveal that CDWs cannot be the root cause of the unparalleled power conveyance in HTS materials. In fact, CDW formation is an independent and likely competing instability….

This is interesting; anyway it is interesting to note that nowadays we still do not know what the electron wave is! Understand the mechanism behind particle-wave duality (as below) would help to understand the mentioned problem in HTS.
http://www.vacuum...17〈=en

There is no such thing as an electron wave.

"we still do not know what the electron wave is!" - vacuum Mechanics

There are only electrons.

They are quantized entities.
They are absorbed and emitted as quantized entities.

Their movement however is a mystery, since their movement is governed by a wave equation, common to all particles, that has no other physical manifestation than to determine the probability of finding an electron at any particular point in time and space.

There is no such thing as an electron wave.

An electron IS an ACTUAL EM-wave! There is NO experimental proof whatsoever for anything else like Voodoo "wave-particle" duality.

They are quantized entities.

Nope! A free electron has a higher mass-energy than a bound electron within a material. Thus, its mass-energy is NOT quantized to have the exact same energy under all circumstances.

Their movement however is a mystery,

No it is not! An electron moves like any other coherent wave (with a single frequency) moves. We understand VERY WELL how coherent waves move.

since their movement is governed by a wave equation, common to all particles, that has no other physical manifestation than to determine the probability of finding an electron at any particular point in time and space.

This is Voodoo-physics and patently NOT TRUE: The intensity of an electron-wave is NOT a probability distribution, but is that of an EM wave which has an EM-energy E=m*c^2.