Quantum **Phase** **Transitions** of the Distorted Diamond Spin Chain

**phases**; the ferrimagnetic

**phase**, the spin gap one, and the gapless Tomonaga-Luttinger liquid depending on the exchange coupling parameters. Expand abstract.

**phase**diagram is presented.

7/10 relevant

arXiv

Strong First Order Electroweak **Phase** **Transition** in Gauge-Higgs
Unification at Finite Temperature

**phase**

**transition**at finite temperature in a model of gauge-Higgs unification where the fermion mass hierarchy including top quark mass, a viable electroweak symmetry breaking and an observed Higgs mass are successfully reproduced. To study the

**phase**transition, we derive the general formula of the 1-loop effective potential at finite temperature by using the $\zeta$ function regularization method. It is remarkable that the functions determining the Kaluza-Klein mass spectrum have only to be necessary in calculations. This potential can be applicable to any higher dimensional theory in flat space where one extra spatial dimension is compactified. Applying to our model of gauge-Higgs unification, the strong first

**phase**

**transition**compatible with 125 GeV Higgs mass is found to happen.

8/10 relevant

arXiv

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**

10/10 relevant

arXiv

Demonstration of a quantized acoustic octupole topological insulator

**phase**

**transitions**from higher- to lower-order multipole moments in altered designs of acoustic TIs. Expand abstract.

**phases**and host topologically protected zero-dimensional (0D) corner states. Inspired by these pioneering theoretical predictions, tremendous efforts have been devoted to the experimental observation of topological quantized quadrupole

**phase**in a variety of two dimensional (2D) metamaterials. However, due to stringent requirements of anti-commuting reflection symmetries in crystals, it has been challenging to achieve higher-order quantized multipole moments, such as octupole moments, in a realistic three-dimensional (3D) structure. Here, we overcome these challenges, and experimentally realize the acoustic analogue of a quantized octupole topological insulator (QOTIs) using negatively coupled resonators. We confirm by first-principle studies that our design possesses a quantized octupole topological phase, and experimentally demonstrate spectroscopic evidence of a topological hierarchy of states in our metamaterial, observing 3rd order corner states, 2nd order hinge states and 1st order surface states. Furthermore, we reveal topological

**phase**

**transitions**from higher- to lower-order multipole moments in altered designs of acoustic TIs. Our work offers a new pathway to explore higher-order topological states (HOTSs) in 3D classical platforms.

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

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

7/10 relevant

arXiv

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

**phase**

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

8/10 relevant

arXiv

Quasi-periodic dynamical **phase** **transitions** in multi-band topological
insulators and connections with entanglement entropy and fidelity
susceptibility

**phase**

**transitions**. Expand abstract.

**phase**

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

**phase**

**transitions**than the simple two-band topological insulator models typically considered previously. We also investigate the boundary contributions from the presence of the topologically protected edge states of this model, and consider the fidelity susceptibility as an indicator of the topological

**phase**

**transitions**. Finally we investigate the dynamics of the entanglement entropy generated after a quench, and its potential relation to dynamical

**phase**

**transitions**.

10/10 relevant

arXiv

Continuous quantum **phase** **transition** in the fermionic mass solutions of
the Nambu-Jona-Lasinio model

**phase**structure of the model. This intriguing fact leads us to investigate whether similar Hamiltonians with four-point interactions can also be studied as a function of their four-point coupling strength. In this paper, we reexamine the Nambu-Jona-Lasinio model, regarding it generally beyond the context of quantum chromodynamics. Essentially, it is a model in which particle-antiparticle pairing leads to a BCS-like condensate, with the result that chiral symmetry is broken dynamically in the strong-coupling regime. To study the behavior of the system, it is necessary to move from this regime to a hypothetical regime of weak coupling, altering the coupling strength of the interaction arbitrarily. In order to do this, the gap equation must be regarded as complex and its Riemann surface structure must be known. We do this and obtain a continuous quantum

**phase**

**transition**characterized by the development of a complex order parameter (the dynamically generated mass) from the second sheet of the Riemann surface, as we move into the weak-coupling regime. The power-law behavior of the order parameter in the vicinity of the

**phase**

**transition**point is demonstrated to be independent of the choice of the regularization scheme with the critical exponent as $\beta \approx 0.55$. At the same time, the isovector pseudoscalar modes retain their feature as Goldstone modes and still have zero mass, while the isoscalar scalar meson follows the behavior of the order parameter and gains a width. Energetically, this mode is not favored over the normal, uncondensed mode but would have to be accessed through an excitation process.

7/10 relevant

arXiv

**Phase** **transitions** for chase-escape models on Gilbert graphs

**phase**

**transitions**of local and global survival in a two-species model on Gilbert graphs. Expand abstract.

**phase**

**transitions**of local and global survival in a two-species model on Gilbert graphs. At initial time there is an infection at the origin that propagates on the Gilbert graph according to a continuous-time nearest-neighbor interacting particle system. The Gilbert graph consists of susceptible nodes and nodes of a second type, which we call white knights. The infection can spread on susceptible nodes without restriction. If the infection reaches a white knight, this white knight starts to spread on the set of infected nodes according to the same mechanism, with a potentially different rate, giving rise to a competition of chase and escape. We show well-definedness of the model, isolate regimes of global survival and extinction of the infection and present estimates on local survival. The proofs rest on comparisons to the process on trees, percolation arguments and finite-degree approximations of the underlying random graphs.

10/10 relevant

arXiv