Abstract The Mermin-Wagner theorem states that long-range magnetic order does not exist
in one-(1D) or two-dimensional (2D) isotropic magnets with short-ranged interactions. Here …

We show that the observed time-reversal symmetry breaking (TRSB) of the superconducting
state in Sr 2 RuO 4 can be understood as originating from inhomogeneous strain fields near …

Abstract The Hohenberg–Mermin–Wagner (HMW) theorem states that infrared (IR)
fluctuations prevent long-range order which breaks continuous symmetries in two …

Motivated by recent experiments on twisted junctions of cuprate superconductors (SCs), it
was proposed [Yuan, Inhomogeneity-induced time-reversal symmetry breaking in cuprate …

We investigate equilibrium statistical properties of the isotropic quantum XY spin-1/2 model
in an external magnetic field when the interaction and field parts are subjected to quenched …

We consider—in a uniformly strictly convex potential regime—two versions of random
gradient models with disorder. In model (A) the interface feels a bulk term of random fields …

Abstract The Imry–Ma phenomenon, predicted in 1975 by Imry and Ma and rigorously
established in 1989 by Aizenman and Wehr, states that first-order phase transitions of low …

We investigate the effect of a unidirectional quenched random field on the anisotropic
quantum spin-1/2 XY model, which magnetizes spontaneously in the absence of the random …

In quenched disordered systems, the existence of ordering is generally believed to be only
possible in the weak disorder regime (disregarding models of spin-glass type). In particular …

We consider classical spin models of two-and three-dimensional spins with continuous
symmetry and investigate the effect of a symmetry-breaking unidirectional quenched …