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Related papers: Grain-Boundary Topological Phase Transitions

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We study the boundary criticality enriched by boundary fermions, which ubiquitously emerge in topological phases of matter, with a focus on topological insulators and topological superconductors. By employing dimensional regularization and…

Strongly Correlated Electrons · Physics 2025-07-23 Xiaoyang Shen , Zhengzhi Wu , Shao-Kai Jian

Topological insulators (TIs) are newly discovered states of matter with robust metallic surface states protected by the topological properties of the bulk wavefunctions. A quantum phase transition (QPT) from a TI to a conventional insulator…

Strongly Correlated Electrons · Physics 2014-01-03 Liang Wu , M. Brahlek , R. Valdés Aguilar , A. V. Stier , C. M. Morris , Y. Lubashevsky , L. S. Bilbro , N. Bansal , S. Oh , N. P. Armitage

Based on the short-time dynamic scaling form, a novel dynamic approach is proposed to tackle numerically the Kosterlitz-Thouless phase transition. Taking the two-dimensional XY model as an example, the exponential divergence of the spatial…

Statistical Mechanics · Physics 2009-10-31 B. Zheng , M. Schulz , S. Trimper

Twinning in crystalline materials plays an important role in many transformation and deformation processes, where underlying mechanisms can be strongly influenced by the structural, energetic and kinetic properties of associated twin…

We propose a geometric criterion of the topological phase transition for non-Hermitian systems. We define the length of the boundary of the bulk band in the complex energy plane for non-Hermitian systems. For one-dimensional systems, we…

Quantum Physics · Physics 2023-08-14 Annan Fan , Shi-Dong Liang

Berezinskii-Kosterlitz-Thouless (BKT) transition, the transition of the 2D sine-Gordon model, plays an important role in the low dimensional physics. We relate the operator content of the BKT transition to that of the SU(2)…

Statistical Mechanics · Physics 2008-11-26 Kiyohide Nomura , Atsuhiro Kitazawa

Percolation in a scale-free hierarchical network is solved exactly by renormalization-group theory, in terms of the different probabilities of short-range and long-range bonds. A phase of critical percolation, with algebraic…

Disordered Systems and Neural Networks · Physics 2009-12-14 A. Nihat Berker , Michael Hinczewski , Roland R. Netz

A numerical investigation of grain-boundary (GB) grooving by means of the Level Set (LS) method is carried out. GB grooving is emerging as a key element of electromigration drift in polycrystalline microelectronic interconnects, as…

Materials Science · Physics 2007-05-23 M. Khenner , A. Averbuch , M. Israeli , M. Nathan , E. Glickman

Berezinskii-Kosterlitz-Thouless (BKT) transition is one of the instability mechanisms for the Tomonaga-Luttinger liquid. But in the BKT transition, there are logarithmic-correction problems, which make it very difficult to treat BKT…

Strongly Correlated Electrons · Physics 2016-08-31 Kiyohide Nomura , Atsuhiro Kitazawa

Grain boundaries often exhibit ordered atomic structures. Increasing amounts of evidence have been provided by transmission electron microscopy and atomistic computer simulations that different stable and metastable grain boundary…

Materials Science · Physics 2023-02-14 Tobias Brink , Lena Langenohl , Hanna Bishara , Gerhard Dehm

Grain boundary (GB) migration plays a crucial role in the thermal and mechanical responses of polycrystalline materials, particularly in ultrafine-grained and nano-grained materials exhibiting grain size-dependent properties. This study…

Materials Science · Physics 2024-04-08 Liang Yang , Xinyuan Song , Tingting Yu , Dahai Liu , Chuang Deng

We derive the scaling structure of the Kosterlitz-Thouless-Berezinskii (KTB) transition temperature of a homogeneous Bose gas in two dimensions within diagrammatic perturbation theory. Approaching the system from above the transition, we…

Other Condensed Matter · Physics 2016-08-16 Markus Holzmann , Gordon Baym , Jean-Paul Blaizot , Franck Laloë

Twist grain boundary (TGB) phases represent liquid crystalline systems with a regular array of defects. In our research, we studied a compound with a stable TGBC phase and established its structure by various experimental techniques. We…

Soft Condensed Matter · Physics 2023-08-08 Vladimira Novotna , Lubor Lejcek , Ladislav Fekete

Grain boundary structural transitions can lead to significant changes in the properties and performance of materials. In multi-principal element alloys, understanding these transitions becomes complex due to phenomena such as local chemical…

Materials Science · Physics 2024-03-13 Ian Geiger , Diran Apelian , Xiaoqing Pan , Penghui Cao , Jian Luo , Timothy J. Rupert

In two dimensions, a phase-coherent superconducting state is established via a Berezinskii-Kosterlitz-Thouless (BKT) transition, whose critical temperature $T_{\rm BKT}$ is determined by the global superfluid stiffness in uniform…

Possible generalizations of the topological (or Berezinskii-Kosterlitz-Thouless) phase transition on multicomponent 2D systems with nontrivial vector homotopic group pi_1 are considered. Relations between Ginzburg-Landau like theories,…

High Energy Physics - Theory · Physics 2009-10-31 S. A. Bulgadaev

This work investigates how grain boundaries (GBs) modify magnetic exchange interactions in bcc iron, with particular focus on the effect of phosphorus segregation. Using density-functional theory combined with the…

Materials Science · Physics 2026-04-14 Martin Zelený , Martin Heczko , Petr Šesták , Denis Ledue , Renaud Patte , Miroslav Černý

Thermal stability of nanocrystalline multilayer thin film is of paramount importance as the applications often involve high temperature. Here we report on the layer instability phenomenon in binary polycrystalline thin film initiating from…

Materials Science · Physics 2017-10-10 Tamoghna Chakrabarti , Nisha Verma , Sukriti Manna

Topological phase transitions track changes in topological properties of a system and occur in real materials as well as quantum engineered systems, all of which differ greatly in terms of dimensionality, symmetries, interactions, and…

Statistical Mechanics · Physics 2020-04-02 Paolo Molignini , R. Chitra , Wei Chen

Topological defects in graphene, dislocations and grain boundaries, are still not well understood despites the considerable number of experimental observations. We introduce a general approach for constructing dislocations in graphene…

Mesoscale and Nanoscale Physics · Physics 2010-05-21 Oleg V. Yazyev , Steven G. Louie