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In statistical physics, the XY model in two dimensions provides the paradigmatic example of phase transitions mediated by topological defects (vortices). Over the years, a variety of analytical and numerical methods have been deployed in an…

Statistical Mechanics · Physics 2007-05-23 Ralph Kenna

Field theories predict that phase transitions sequentially breaking continuous and discrete symmetries can generate hybrid topological structures in which defects of different dimensionalities merge. We report experimental and numerical…

Soft Condensed Matter · Physics 2025-12-09 Shengzhu Yi , Chao Zhou , Zening Hong , Zhongjie Ma , Mingjun Huang , Satoshi Aya , Rui Zhang , Qi-Huo Wei

Low-buckled silicene, germanene, and stanene are group$-IV$ graphene allotropes. They form a honeycomb lattice out of two interpenetrating ($A$ and $B$) triangular sublattices that are vertically separated by a small distance $\Delta_z$.…

Materials Science · Physics 2023-06-02 John M. Davis , Gustavo S. Orozco-Galvan , Salvador Barraza-Lopez

In the course of a non-equilibrium continuous phase transition, the dynamics ceases to be adiabatic in the vicinity of the critical point as a result of the critical slowing down (the divergence of the relaxation time in the neighborhood of…

Statistical Mechanics · Physics 2014-06-03 Adolfo del Campo , Wojciech H. Zurek

Zirconium pentatelluride (ZrTe$_{5}$), a system with a Dirac linear band across the Fermi level and anomalous transport features, has attracted considerable research interest for it is predicted to be located at the boundary between strong…

Strongly Correlated Electrons · Physics 2023-11-07 Zijian Lin , Cuixiang Wang , Daqiang Chen , Sheng Meng , Youguo Shi , Jiandong Guo , Xuetao Zhu

The nematic-superconductor state is an example of a quantum liquid crystal that breaks gauge as well as rotation invariance. It was conjectured to exist in the pseudogap regime of the cuprates high $T_c$ superconductors. The…

Superconductivity · Physics 2016-11-18 Daniel G. Barci , Rafael V. Clarim , Nei L. Silva Júnior

We revisit the Kibble-Zurek mechanism by analyzing the dynamics of phase ordering systems during an infinitely slow annealing across a second order phase transition. We elucidate the time and cooling rate dependence of the typical growing…

Statistical Mechanics · Physics 2013-05-29 Giulio Biroli , Leticia F. Cugliandolo , Alberto Sicilia

We investigate the formation of topological defects in the course of a dynamical phase transition with different boundary conditions in a ring from AdS/CFT correspondence. According to the Kibble-Zurek mechanism, quenching the system across…

High Energy Physics - Theory · Physics 2022-05-25 Zhi-Hong Li , Han-Qing Shi , Hai-Qing Zhang

The presence of stable topological defects in a two-dimensional (\textit{d} = 2) liquid crystal model allowing molecular reorientations in three dimensions (\textit{n} = 3) was largely believed to induce defect-mediated…

Soft Condensed Matter · Physics 2018-11-28 B. Kamala Latha , V. S. S. Sastry

We study a topological phase transition between a normal insulator and a quantum spin Hall insulator in two-dimensional (2D) systems with time-reversal and two-fold rotation symmetries. Contrary to the case of ordinary time-reversal…

Mesoscale and Nanoscale Physics · Physics 2017-04-13 Junyeong Ahn , Bohm-Jung Yang

We report the temperature evolution of the Dirac band in semiconducting zirconium pentatelluride (ZrTe$_5$) using magneto-infrared spectroscopy. We find that the band gap is temperature independent at low temperatures and increases with…

Topological defects arise in a variety of systems, e.g. vortices in superfluid helium to cosmic strings in the early universe. There is an indirect evidence of neutron superfluid vortices from glitches in pulsars. One also expects that…

High Energy Physics - Phenomenology · Physics 2017-09-25 Arpan Das , Shreyansh S. Dave , Somnath De , Ajit M. Srivastava

We use neutron absorption in rotating 3He-B to heat locally a 10 micrometer-size volume into normal phase. When the heated region cools back in microseconds, vortex lines are formed. We record with NMR the number of lines as a function of…

Statistical Mechanics · Physics 2009-10-30 V. M. Ruutu , V. B. Eltsov , M. Krusius , Yu. G. Makhlin , B. Placais , G. E. Volovik

Our understanding of the mechanism by which topological defects are formed in symmetry breaking phase transitions has recently changed. We examine the non-equilibrium dynamics of defect formation for weakly-coupled global O(N) theories…

High Energy Physics - Theory · Physics 2010-11-01 A. J. Gill , R. J. Rivers

A detailed elastic neutron scattering study of the structural and magnetic phase transitions in single-crystal SrFe$_2$As$_2$ reveals that the orthorhombic (O)-tetragonal (T) and the antiferromagnetic transitions coincide at $T_\texttt{O}$…

A detailed elastic neutron scattering study of the structural and magnetic phase transitions in single-crystal SrFe$_2$As$_2$ reveals that the orthorhombic (O)-tetragonal (T) and the antiferromagnetic transitions coincide at $T_\texttt{O}$…

Effects of disorder on two-dimensional Z2 topological insulator are studied numerically by the transfer matrix method. Based on the scaling analysis, the phase diagram is derived for a model of HgTe quantum well as a function of disorder…

Mesoscale and Nanoscale Physics · Physics 2011-05-10 Ai Yamakage , Kentaro Nomura , Ken-Ichiro Imura , Yoshio Kuramoto

Symmetry breaking phase transitions play an important role in nature. When a system traverses such a transition at a finite rate, its causally disconnected regions choose the new broken symmetry state independently. Where such local choices…

We demonstrate the existence of global monopole and vortex configurations whose core exhibits a phase structure. We determine the critical values of parameters for which the transition from the symmetric to the non-symmetric phase occurs…

High Energy Physics - Phenomenology · Physics 2016-08-25 Minos Axenides , Leandros Perivolaropoulos , Mark Trodden

Neutron diffraction measurements of a high quality single crystal of CaFe2As2 are reported. A sharp transition was observed between the high temperature tetragonal and low temperature orthorhombic structures at TS = 172.5K (on cooling) and…

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