Partial-Symmetry-Breaking **Phase** **Transitions**

**phase**

**transitions**in theories with large rank symmetry group that exhibit specific types of non-local interactions. A typical example of such a theory is a large-$N$ gauge theory where by `non-local interaction' we mean the all-to-all coupling of color degrees of freedom. % Recently it has been pointed out that nontrivial features of the confinement/deconfinement

**transition**are understood as consequences of the coexistence of the confinemed and deconfinemed

**phases**on the group manifold describing the color degrees of freedom. While these novel features of the confinement/deconfinement

**transition**are analogous to the two-

**phase**coexistence at the first order

**transition**of more familiar local theories, various differences such as the partial breaking of the symmetry group appear due to the non-local interaction. % In this article, we show that similar

**phase**

**transitions**with partially broken symmetry can exist in various examples from QFT and string theory. Our examples include the deconfinement and chiral

**transition**in QCD, Gross-Witten-Wadia

**transition**in two-dimensional lattice gauge theory, Douglas-Kazakov

**transition**in two-dimensional gauge theory on sphere, and black hole/black string

**transition**

7/10 relevant

arXiv

Axisymmetric flows on the torus geometry

**phase**

**transition**in the equilibrium location of the stripe as a function of area, and this phase transition leads to a complex dependence of the Laplace pressure on the stripe area. Expand abstract.

**phase**

**transition**in the equilibrium location of the stripe as a function of area, and this

**phase**

**transition**leads to a complex dependence of the Laplace pressure on the stripe area. We also derive the underdamped oscillatory dynamics as the stripes approach equilibrium. In all cases, the analytical results are confirmed numerically using a finite-difference Navier-Stokes solver. Thus, the results presented here can be used to provide non-trivial benchmarking problems to assess the accuracy and performance of computational methods designed for flows on curved surfaces.

4/10 relevant

arXiv

0-1 **phase** **transitions** in sparse spiked matrix estimation

**phase**

**transitions**for the asymptotic minimum mean-square-error. Expand abstract.

**phase**

**transitions**for the asymptotic minimum mean-square-error. A similar

**phase**

**transition**was analyzed recently in the context of sparse high-dimensional linear regression (compressive sensing).

10/10 relevant

arXiv

Ergodic theory of affine isometric actions on Hilbert spaces

**phase**

**transition**phenomenon and we relate it to new quantitative invariants for affine isometric actions. We use the Patterson-Sullivan theory as well as Lyons-Pemantle work on tree-indexed random walks in order to give a precise description of this

**phase**

**transition**for affine isometric actions of groups acting on trees. Finally, we use Gaussian actions to show that every nonamenable locally compact group without property (T) admits a free nonamenable weakly mixing action of stable type III$_1$.

4/10 relevant

arXiv

Exponential growth and continuous **phase** **transitions** for the contact
process on trees

**phase**

**transitions**in the sense that $\lambda_1

6/10 relevant

arXiv

Magnetic glassy state at low spin state of Co3+ in EuBaCo2O5+{\delta} ({\delta} = 0.47) cobaltite

**transitions**and the kinetic arrest induced magnetic glassy phenomena in complex materials. Expand abstract.

**phase**

**transition**. Interesting properties, such as metastable magnetization and nonequilibrium magnetic phases, are naturally developed in the magnetic glassy state. Here, we report magnetic glass property in the low spin state of Co3+ in EuBaCo2O5+{\delta} ({\delta} = 0.47) cobaltite at low temperature (T < 60 K). The measurements of magnetization under the cooling and heating in unequal fields, magnetization relaxation and thermal cycling of magnetization show the kinetic arrest of low magnetization state below 60 K. The kinetically arrested low temperature magnetic

**phase**is further supported through the study of isothermal magnetic entropy, which shows the significant entropy change. The present results will open a new window to search the microscopic relation between the spin state

**transitions**and the kinetic arrest induced magnetic glassy phenomena in complex materials.

4/10 relevant

arXiv

Topological excitations in rotating Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling in a two-dimensional optical lattice

**phase**

**transition**from square vortex lattice to irregular triangular vortex lattice and the system transition from initial phase separation to phase mixing. Expand abstract.

**phase**

**transition**from square vortex lattice to irregular triangular vortex lattice and the system

**transition**from initial

**phase**separation to

**phase**mixing. In addition, we analyze the combined effects of 1D RD-SOC and rotation on the vortex configurations of the ground states for the case of initial

**phase**separation. The increase of 1D SOC strength, rotation frequency or both of them may result in the formation of vortex chain and

**phase**mixing. Furthermore, the typical spin textures for both the cases of 2D RD-SOC and 1D RD-SOC are discussed. It is shown that the system favors novel spin textures and skyrmion configurations including an exotic skyrmion-half-skyrmion lattice (skyrmion-meron lattice), a complicated meron lattice, a skyrmion chain, and a Bloch domain wall.

4/10 relevant

arXiv

Drastic suppression of superconducting $T_{c}$ by anisotropic strain near a nematic quantum critical point

**phases**. In the iron-based superconductor $Ba(Fe_{1-x}Co_{x})_{2}As_{2}$, the superconducting state shares the composition-temperature

**phase**diagram with an electronic nematic

**phase**and an antiferromagnetic

**phase**that break the crystalline rotational symmetry. Symmetry considerations suggest that anisotropic strain can enhance these competing

**phases**and thus suppress the superconductivity. Here we study the effect of anisotropic strain on the superconducting

**transition**in single crystals of $Ba(Fe_{1-x}Co_{x})_{2}As_{2}$ through electrical transport, magnetic susceptibility, and x-ray diffraction measurements. We find that in the underdoped and near-optimally doped regions of the

**phase**diagram, the superconducting critical temperature is rapidly suppressed by both compressive and tensile stress, and in the underdoped case this suppression is enough to induce a strain-tuned superconductor to metal quantum

**phase**

**transition**.

5/10 relevant

arXiv

**Phase** **transitions** for degenerate random environments

**phase**

**transition**for the geometry of connected clusters as $p$ varies.

8/10 relevant

arXiv

Quasiperiodic dynamical quantum **phase** **transitions** in multiband
topological insulators and connections with entanglement entropy and fidelity
susceptibility

**phase**

**transitions**, and find a simple scaling law as a function of the number of bands of our multiband model which is found to be the same for both bulk and boundary fidelity susceptibilities. Expand abstract.

**phase**

**transitions**in multiband one dimensional topological insulators. For this purpose we introduce a new solvable multiband model based on the Su-Schrieffer-Heeger model, generalized to unit cells containing many atoms but with the same symmetry properties. Such models have a richer structure of dynamical quantum

**phase**

**transitions**than the simple two-band topological insulator models typically considered previously, with both quasiperiodic and aperiodic dynamical quantum

**phase**

**transitions**present. Moreover the aperiodic

**transitions**can still occur for quenches within a single topological

**phase**. We also investigate the boundary contributions from the presence of the topologically protected edge states of this model. Plateaus in the boundary return rate are related to the topology of the time evolving Hamiltonian, and hence to a dynamical bulk-boundary correspondence. We go on to consider the dynamics of the entanglement entropy generated after a quench, and its potential relation to the critical times of the dynamical quantum

**phase**

**transitions**. Finally, we investigate the fidelity susceptibility as an indicator of the topological

**phase**transitions, and find a simple scaling law as a function of the number of bands of our multiband model which is found to be the same for both bulk and boundary fidelity susceptibilities.

9/10 relevant

arXiv