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Setting the cosmological constant to be dynamical, we study the bulk and boundary thermodynamics of charged Anti-de Sitter black holes. We develop mass/energy formulas in terms of thermodynamic state functions for the extended…

High Energy Physics - Theory · Physics 2023-06-27 Ming Zhang , Jie Jiang

Computing the grain boundary (GB) counterparts to bulk phase diagrams represents an emerging research direction. Using a classical embrittlement model system Ga-doped Al alloy, this study demonstrates the feasibility of computing…

Materials Science · Physics 2022-01-20 Chongze Hu , Yanwen Li , Zhiyang Yu , Jian Luo

On conformally compact manifolds of arbitrary signature, we use conformal geometry to identify a natural (and very general) class of canonical boundary problems. It turns out that these encompass and extend aspects of already known…

Differential Geometry · Mathematics 2015-11-05 A. Rod Gover , Andrew Waldron

We provide evidence that, alongside topologically protected edge states, two-dimensional Chern insulators also support localised bulk states deep in their valance and conduction bands. These states manifest when local potential gradients…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Chris N. Self , Alvaro Rubio-García , Juan Jose García-Ripoll , Jiannis K. Pachos

In topological phases of matter for which the bulk and boundary support distinct electronic gaps, there exists the possibility of decoupled mobility gaps in the presence of disorder. This is in analogy with the well-studied problem of…

Disordered Systems and Neural Networks · Physics 2025-01-29 Cormac Grindall , Alexander C. Tyner , Ang-Kun Wu , Taylor L. Hughes , J. H. Pixley

The hallmark of topological phases is their robust boundary signature whose intriguing properties---such as the one-way transport on the chiral edge of a Chern insulator and the sudden disappearance of surface states forming open Fermi arcs…

Mesoscale and Nanoscale Physics · Physics 2017-09-08 Flore K. Kunst , Maximilian Trescher , Emil J. Bergholtz

We investigate the use of partially twisted boundary conditions in a lattice simulation with two degenerate flavours of improved Wilson sea quarks. The use of twisted boundary conditions on a cubic volume (L^3) gives access to components of…

High Energy Physics - Lattice · Physics 2009-10-09 J. M. Flynn , A. Juttner , C. T. Sachrajda

The pre-patterning of a substrate to create energetically more attractive or repulsive regions allows one to generate a variety of structures in physical vapor deposition experiments. A particular interesting structure is generated if the…

Chemical Physics · Physics 2018-01-16 Oleg Buller , Hong Wang , Wenchong Wang , Lifeng Chi , Andreas Heuer

We describe an optical scattering study of grain boundary premelting in water ice. Ubiquitous long ranged attractive polarization forces act to suppress grain boundary melting whereas repulsive forces originating in screened Coulomb…

Materials Science · Physics 2013-05-23 E. S. Thomson , Hendrik Hansen-Goos , L. A. Wilen , J. S. Wettlaufer

We introduce the concept of boundary degeneracy of topologically ordered states on a compact orientable spatial manifold with boundaries, and emphasize that the boundary degeneracy provides richer information than the bulk degeneracy.…

Strongly Correlated Electrons · Physics 2020-01-08 Juven Wang , Xiao-Gang Wen

The bulk-boundary correspondence, a topic of intensive research interest over the past decades, is one of the quintessential ideas in the physics of topological quantum matter. Nevertheless, it has not been proven in all generality and has…

Strongly Correlated Electrons · Physics 2018-03-23 Jun-Won Rhim , Jens H. Bardarson , Robert-Jan Slager

Bulk topology and criticality can both lead to nontrivial boundary effects. Topological orders are often characterized by their robust edge states, while bulk critical points can have different boundary scalings governed by boundary…

Strongly Correlated Electrons · Physics 2024-05-30 Nayan Myerson-Jain , Xiao-Chuan Wu , Cenke Xu

Periodic boundary conditions are a common theoretical and computational tool used to emulate effectively infinite domains. However, two-dimensional periodic domains are topologically distinct from the infinite plane, eliciting the question:…

Soft Condensed Matter · Physics 2025-10-07 Cody D. Schimming

Bulk-boundary correspondence is a fundamental principle in topological physics. In recent years, there have been considerable efforts in extending the idea of geometry and topology to classical stochastic systems far from equilibrium.…

Mesoscale and Nanoscale Physics · Physics 2024-05-02 Taro Sawada , Kazuki Sone , Kazuki Yokomizo , Yuto Ashida , Takahiro Sagawa

We generalize the twisted quantum double model of topological orders in two dimensions to the case with boundaries by systematically constructing the boundary Hamiltonians. Given the bulk Hamiltonian defined by a gauge group $G$ and a…

Strongly Correlated Electrons · Physics 2017-11-21 Alex Bullivant , Yuting Hu , Yidun Wan

Recently, a new family of symmetry-protected higher-order topological insulators has been proposed and was shown to host lower-dimensional boundary states. However, with the existence of the strong disorder in the bulk, the crystal symmetry…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Weixuan Zhang , Deyuan Zou , Qingsong Pei , Wenjing He , Jiacheng Bao , Houjun Sun , Xiangdong Zhang

Topological insulators insulate in the bulk but exhibit robust conducting edge states protected by the topology of the bulk material. Here, we design a colloidal topological insulator and demonstrate experimentally the occurrence of edge…

We show that lattices with higher-order topology can support corner-localized bound states in the continuum (BICs). We propose a method for the direct identification of BICs in condensed matter settings and use it to demonstrate the…

Strongly Correlated Electrons · Physics 2020-05-06 Wladimir A. Benalcazar , Alexander Cerjan

2D topological insulators promise novel approaches towards electronic, spintronic, and quantum device applications. This is owing to unique features of their electronic band structure, in which bulk-boundary correspondences enforces the…

We construct a bulk spacetime from a boundary CFT, $O(N)$ free scalar model, at finite temperature using a smearing technique, called a conformal flow. The bulk metric is constructed as an information metric associated with the boundary…

High Energy Physics - Theory · Physics 2023-08-03 Sinya Aoki , János Balog , Kiyoharu Kawana , Kengo Shimada