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The experiments on verification of the Kibble-Zurek mechanism showed that topological defects are formed most efficiently in the systems of small size or low (quasi-)dimensionality, whereas in the macroscopic two- and three-dimensional…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. V. Dumin , L. M. Svirskaya

We construct ferroelectric (LuFeO3)m/(LuFe2O4) superlattices with varying index m to study the effect of confinement on topological defects. We observe a thickness-dependent transition from neutral to charged domain walls and the emergence…

Discrete symmetries are spatially ubiquitous but are often hidden in internal states of systems where they can have especially profound consequences. In this work we create and verify exotic magnetic phases of atomic spinor Bose-Einstein…

Quantum Gases · Physics 2022-08-11 Y. Xiao , M. O. Borgh , A. A. Blinova , T. Ollikainen , J. Ruostekoski , D. S. Hall

In a finite-time continuous phase transition, topological defects emerge as the system undergoes spontaneous symmetry breaking. The Kibble-Zurek mechanism predicts how the defect density scales with the quench rate. During such processes,…

We consider a non-equilibrium extension of the two-dimensional (2D) XY model, equivalent to the noisy Kuramoto model of synchronization with short-range coupling, where rotors sitting on a square lattice are self-driven by random intrinsic…

Statistical Mechanics · Physics 2021-08-25 Ylann Rouzaire , Demian Levis

Many systems in nature and the synthetic world involve ordered arrangements of units on two-dimensional surfaces. We review here the fundamental role payed by both the topology of the underlying surface and its detailed curvature. Topology…

Soft Condensed Matter · Physics 2009-07-31 Mark J. Bowick , Luca Giomi

It is shown that both structural phase transitions in Cd2Re2O7, which occur at T_{s1}=200 K and T_{s2}=120 K, are due to an instability of the Re tetrahedral network with respect to the same doubly degenerate long-wavelength phonon mode.…

Superconductivity · Physics 2009-11-10 I. A. Sergienko , S. H. Curnoe

According to the Kibble-Zurek mechanism (KZM), the density of topological defects created during a second-order phase transition is determined by the correlation length at the freeze-out time. This suggests that the final configuration of…

Statistical Mechanics · Physics 2025-08-29 Fumika Suzuki , Ying Wai Li , Wojciech H. Zurek

The spontaneous transformations associated with symmetry-breaking phase transitions generate domain structures and defects that may be topological in nature. The formation of these defects can be described according to the Kibble-Zurek…

In this chapter we discuss aspects of the quantum critical behavior that occurs at a quantum phase transition separating a topological phase from a conventionally ordered one. We concentrate on a family of quantum lattice models, namely…

Strongly Correlated Electrons · Physics 2015-05-14 Claudio Castelnovo , Simon Trebst , Matthias Troyer

We study the vortex nucleation dynamics in inhomogeneous atomic Bose gases quenched into a superfluid phase and investigate the dependence of the Kibble-Zurek (KZ) scaling exponent on the underlying trap configuration. For samples in a…

Quantum Gases · Physics 2023-11-30 Tenzin Rabga , Yangheon Lee , Dalmin Bae , Myeonghyeon Kim , Yong-il Shin

New defects (Z-vortices and Nambu monopoles) are found to become thermodynamically relevant for the broken phase near to the (weakly first order) electroweak phase transition, and below the crossover for higher Higgs mass. The symmetric…

High Energy Physics - Lattice · Physics 2010-05-27 M. N. Chernodub , F. V. Gubarev , E. -M. Ilgenfritz , A. Schiller

Transition-metal dichalcogenide IrTe2 has attracted attention because of striped lattice, charge ordering and superconductivity. We have investigated the surface structure of IrTe2, using low energy electron diffraction (LEED) and scanning…

Materials Science · Physics 2017-04-05 Chen Chen , Jisun Kim , Yifan Yang , Guixin Cao , Rongying Jin , E. W. Plummer

We study the nonequilibrium dynamics leading to the formation of topological defects in a symmetry-breaking phase transition of a quantum scalar field with \lambda\Phi^4 self-interaction in a spatially flat, radiation-dominated…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. J. Stephens , E. A. Calzetta , B. L. Hu , S. A. Ramsey

The interplay of competing orders is relevant to high-temperature superconductivity known to emerge upon suppression of a parent antiferromagnetic order typically via charge doping. How such interplay evolves at low temperature---in…

Strongly Correlated Electrons · Physics 2017-07-14 Zuo-Dong Yu , Yuan Zhou , Wei-Guo Yin , Hai-Qing Lin , Chang-De Gong

Nickel ditelluride (NiTe2), a new discovered type-II Dirac semimetal whose Dirac node lies close to its Fermi level, is expected to exhibit exotic phenomena including Lifshitz transition and superconductivity. As we know, defects are…

Two-dimensional 3-vector (\textit{d}=2, \textit{n}=3) lattice model with inversion site symmetry and fundamental group of its order-parameter space $\Pi_1 (\mathcal{R})= Z_{2}$, did not exhibit the expected topological transition despite…

Soft Condensed Matter · Physics 2020-11-04 Kamala Latha. B , Sastry V. S. S

Electronic tunability in crystals with weakly-bound layers can be achieved through layer stacking order. One such example is MoTe$_2$, where the low-temperature orthorhombic T$_d$ phase is topological and host to Weyl quasiparticles. The…

Materials Science · Physics 2019-04-17 John A. Schneeloch , Chunruo Duan , Xiaoping Wang , Jun Liu , Junjie Yang , Despina Louca

Vortices are commonly observed in the context of classical hydrodynamics: from whirlpools after stirring the coffee in a cup to a violent atmospheric phenomenon such as a tornado, all classical vortices are characterized by an arbitrary…

Quantum Gases · Physics 2017-04-06 G. Bighin , L. Salasnich

In hybrid improper ferroelectric systems, polarization arises from the onset of successive nonpolar lattice modes. In this work, measurements and modeling were performed to determine the spatial symmetries of the phases involved in the…

Materials Science · Physics 2019-07-03 S. Liu , H. Zhang , S. Ghose , M. Balasubramanian , Zhenxian Liu , S. G. Wang , Y-S. Chen , B. Gao , J. Kim , S. -W. Cheong , T. A. Tyson