We review the quantum fidelity approach to quantum phase transitions in a pedagogical
manner. We try to relate all established but scattered results on the leading term of the …

We review some of the recent progress on the study of entropy of entanglement in many-
body quantum systems. Emphasis is placed on the scaling properties of entropy for one …

Various fundamental phenomena of strongly correlated quantum systems such as high-T c
superconductivity, the fractional quantum-Hall effect and quark confinement are still awaiting …

The strong disorder RG approach for random systems has been extended in many new
directions since our previous review of 2005 [F. Igloi, C. Monthus, Phys. Rep. 412, 277 …

Entanglement comes in different forms, some more complex than others. In this paper we
study the transitions of entanglement complexity in an exemplary family of states—the …

We have investigated scaling properties near the quantum critical point between the
extended phase and the critical phase in the Aubry-André-Harper model with p-wave …

Classical correlation functions of ground states typically decay exponentially and
polynomially, respectively, for gapped and gapless short-range quantum spin systems. In …