Long-range interactions are relevant for a large variety of quantum systems in quantum
optics and condensed matter physics. In particular, the control of quantum–optical platforms …

The study of quantum criticality and entanglement in systems with long-range (LR)
interactions is still in its early stages, with many open questions remaining to be explored. In …

These lecture notes provide an overview of the renormalization group (RG) as a successful
framework to understand critical phenomena above the upper critical dimension $ d_ {\rm …

The quantum-critical properties of the transverse-field Ising model with algebraically
decaying interactions are investigated by means of stochastic series expansion quantum …

Finite-size scaling above the upper critical dimension is a long-standing puzzle in the field of
statistical physics. Even for pure systems various scaling theories have been suggested …

In this note, we revisit the scaling relations among “hatted critical exponents”, which were
first derived by Ralph Kenna, Des Johnston, and Wolfhard Janke, and we propose an …

We employ scaling arguments and optimal fluctuation theory to establish a general relation
between quantum Griffiths singularities and the Harris criterion for quantum phase …

We present a unified view of finite-size scaling (FSS) in dimension d above the upper critical
dimension, for both free and periodic boundary conditions. We find that the modified FSS …

The universality of critical phenomena and finite-size scaling are effective methods for
measuring critical exponents in experiments and inferring the intrinsic interactions within …

We present a new unified theory of critical finite-size scaling for lattice statistical mechanical
models with periodic boundary conditions above the upper critical dimension. The universal …