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Theories of gravity with a preferred foliation usually display arbitrarily fast signal propagation, changing the black hole definition. A new inescapable barrier, the universal horizon, has been defined and many static and spherically…

General Relativity and Quantum Cosmology · Physics 2016-05-11 Alan Maciel

Non-Hermitian band theory distinguishes between line gaps and point gaps. While point gaps can give rise to intrinsic non-Hermitian band topology without Hermitian counterparts, line-gapped systems can always be adiabatically deformed to a…

Mesoscale and Nanoscale Physics · Physics 2023-08-03 Frank Schindler , Kaiyuan Gu , Biao Lian , Kohei Kawabata

Non-Hermitian systems exhibit striking exceptions from the paradigmatic bulk-boundary correspondence, including the failure of bulk Bloch band invariants in predicting boundary states and the (dis)appearance of boundary states at parameter…

Mesoscale and Nanoscale Physics · Physics 2018-07-17 Flore K. Kunst , Elisabet Edvardsson , Jan Carl Budich , Emil J. Bergholtz

We investigate novel features of three dimensional non-Hermitian Weyl semimetals, paying special attention to its unconventional bulk-boundary correspondence. We use the non-Bloch Chern numbers as the tool to obtain the topological phase…

Mesoscale and Nanoscale Physics · Physics 2019-04-05 Xiaosen Yang , Yang Cao , Yunjia Zhai

A closed vacuum-dominated Friedmann universe is asymptotic to a de Sitter space with a cosmological event horizon for any observer. The holographic principle says the area of the horizon in Planck units determines the number of bits of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. R. Mongan

In some non-Hermitian systems, the eigenstates in the bulk are localized at the boundaries of the systems. This is called the non-Hermitian skin effect, and it has been studied mostly in discrete systems. In the present work, we study the…

Mesoscale and Nanoscale Physics · Physics 2022-05-09 Kazuki Yokomizo , Taiki Yoda , Shuichi Murakami

We continue our study of strongly-coupled, approximately scale-invariant gauge theories with a large number of flavours, which provide a suitable ultraviolet completion of the composite-Higgs scenario. We identify the requisite operators to…

High Energy Physics - Phenomenology · Physics 2022-05-20 Daniel Elander , Michele Frigerio , Marc Knecht , Jean-Loic Kneur

We demonstrate the emergence of a holographic dimension in a system of 2D non-interacting Dirac fermions placed on a torus, by studying the scaling of multipartite entanglement measures under a sequence of renormalisation group (RG)…

Strongly Correlated Electrons · Physics 2024-08-27 Abhirup Mukherjee , Siddhartha Patra , Siddhartha Lal

The bulk-boundary or bulk-edge correspondence is a principle relating surface confined states to the topological classification of the bulk. By combining non-Hermitian ingredients in terms of gain or loss with media that violate…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Penglin Gao , Morten Willatzen , Johan Christensen

The BTZ black hole is geometrically finite. This means that its three dimensional hyperbolic structure as encoded in its metric is in 1-1 correspondence with the Teichmuller space of its boundary, which is a two torus. The equivalence of…

High Energy Physics - Theory · Physics 2009-11-11 Kumar S. Gupta , Siddhartha Sen

The topology of non-Hermitian systems is fundamentally changed by the non-Hermitian skin effect, which leads to the generalized bulk-boundary correspondence. Based on the non-Bloch band theory, we get insight into the interplay between the…

Superconductivity · Physics 2024-03-28 Xaing Ji , Wenchen Ding , Yuanping Chen , Xiaosen Yang

Non-Hermitian Chern insulators differ from their Hermitian cousins in one key aspect: their edge spectra are incredibly rich and confounding. For example, even in the simple case where the bulk spectrum consists of two bands with Chern…

Mesoscale and Nanoscale Physics · Physics 2023-01-05 James Bartlett , Erhai Zhao

More profound than bulk topological order of quantum materials is only its unwinding via gapless excitations along boundaries of the sample. We recast this bulk-edge correspondence -- for the experimentally relevant case of fractional…

High Energy Physics - Theory · Physics 2026-05-12 Hisham Sati , Urs Schreiber

Quantum Hall systems host chiral edge states extending along the one-dimensional boundary of any two-dimensional sample. In solid state materials, the edge states serve as perfectly robust transport channels that produce a quantised Hall…

Isolated horizons model equilibrium states of classical black holes. A detailed quantization, starting from a classical phase space restricted to spherically symmetric horizons, exists in the literature and has since been extended to…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Christopher Beetle , Jonathan Engle

When canonical Hamiltonians of local quantum field theories are transformed using a renormalization group procedure for effective particles, the resulting interaction terms are non-local. The range of their non-locality depends on the…

High Energy Physics - Theory · Physics 2014-11-21 Stanislaw D. Glazek

Topological phases of matter are conventionally characterized by the bulk-boundary correspondence in Hermitian systems: The topological invariant of the bulk in $d$ dimensions corresponds to the number of $(d-1)$-dimensional boundary…

We present a pedagogical review of the periodically driven non-Hermitian systems, particularly on the rich interplay between the non-Hermitian skin effect and the topology. We start by reviewing the non-Bloch band theory of the static…

Mesoscale and Nanoscale Physics · Physics 2024-03-28 Xiang Ji , Xiaosen Yang

The non-Hermitian skin effect, characterized by a proliferation of exponentially localized edge modes in open-boundary systems, has led to the discovery of numerous novel physical phenomena that challenge the limits of conventional band…

Mesoscale and Nanoscale Physics · Physics 2025-08-13 Kai Zhang , Chang Shu , Kai Sun

We study the portion of an asymptotically Anti de Sitter geometry's bulk where the metric can be reconstructed, given the areas of minimal 2-surfaces anchored to a fixed boundary subregion. We exhibit situations in which this region can…

High Energy Physics - Theory · Physics 2020-04-10 Ning Bao , Aidan Chatwin-Davies , Benjamin E. Niehoff , Mykhaylo Usatyuk