We review results concerning the critical behavior of spin systems at equilibrium. We
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …

The recent discovery of 2D magnetic order in van der Waals materials has stimulated a
renaissance in the field of atomically thin magnets. This has led to promising demonstrations …

This volume links field theory methods and concepts from particle physics with those in
critical phenomena and statistical mechanics, the development starting from the latter point …

The physics and universality scaling of phase transitions in low-dimensional systems has
historically been a topic of great interest. Recently, two-dimensional (2D) materials …

Two-dimensional systems, such as ultrathin epitaxial films and superlattices, display
magnetic properties distinct from bulk materials. A challenging aim of current research in …

In this paper, we review some of the key concepts in ultrathin film magnetism which underpin
nanomagnetism. We survey the results of recent experimental and theoretical studies of well …

Magnetic materials have become controllable on the nanometre scale. Such fine structures
exhibit a wide range of fascinating phenomena, such as lowdimensional magnetism …

The recent experimental progress in spin-polarized scanning tunnelling microscopy (SP-
STM)—a magnetically sensitive imaging technique with ultra-high resolution—is reviewed …

Critical phenomena arise in a wide variety of physical systems. Classi cal examples are the
liquid-vapour critical point or the paramagnetic ferromagnetic transition. Further examples …

Within the last years, a fundamental understanding of nanoscaled materials has become a
tremendous challenge for any technical applications. For magnetic nanoparticles, the …