Inducing a many-body topological state of matter through Coulomb-engineered local interactions

M. Rösner; J. L. Lado

doi:10.1103/physrevresearch.3.013265

Many-body systems with random spatially local interactions

Physical Review B ◽

10.1103/physrevb.100.245152 ◽

2019 ◽

Vol 100 (24) ◽

Cited By ~ 1

Author(s):

Siddhardh C. Morampudi ◽

Chris R. Laumann

Keyword(s):

Many Body ◽

Local Interactions ◽

Many Body Systems

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Exceptional topological insulators

Nature Communications ◽

10.1038/s41467-021-25947-z ◽

2021 ◽

Vol 12 (1) ◽

Author(s):

M. Michael Denner ◽

Anastasiia Skurativska ◽

Frank Schindler ◽

Mark H. Fischer ◽

Ronny Thomale ◽

...

Keyword(s):

Topological Insulator ◽

Three Dimensional ◽

Surface States ◽

Exceptional Point ◽

Weyl Semimetal ◽

Complex Eigenvalues ◽

Topological State ◽

Single Sheet ◽

Bulk Energy ◽

State Of Matter

AbstractWe introduce the exceptional topological insulator (ETI), a non-Hermitian topological state of matter that features exotic non-Hermitian surface states which can only exist within the three-dimensional topological bulk embedding. We show how this phase can evolve from a Weyl semimetal or Hermitian three-dimensional topological insulator close to criticality when quasiparticles acquire a finite lifetime. The ETI does not require any symmetry to be stabilized. It is characterized by a bulk energy point gap, and exhibits robust surface states that cover the bulk gap as a single sheet of complex eigenvalues or with a single exceptional point. The ETI can be induced universally in gapless solid-state systems, thereby setting a paradigm for non-Hermitian topological matter.

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The Equation of State of Matter at Sub-Nuclear Density

Symposium - International Astronomical Union ◽

10.1017/s0074180900099885 ◽

1974 ◽

Vol 53 ◽

pp. 1-25 ◽

Cited By ~ 1

Author(s):

J. W. Negele

Keyword(s):

Nucleon Nucleon ◽

Baryon Density ◽

Nuclear Density ◽

Many Body ◽

Density Distributions ◽

Uniform State ◽

State Of Matter ◽

Nucleon Nucleon Interaction ◽

Finite Nuclei ◽

State Configuration

An extremely simple form for the energy density of a nuclear many-body system is derived from the two-body nucleon-nucleon interaction. This theory, which yields excellent results for energies and density distributions of finite nuclei, is used to determine the ground state configuration of matter at sub-nuclear density. As the baryon density is increased, nuclei become progressively more neutron rich until neutrons eventually escape, yielding a Coulomb lattice of bound neutron and proton clusters surrounded by a dilute neutron gas. The clusters enlarge and the lattice constant decreases with increasing density, approaching a completely uniform state near nuclear density.

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Exciton Condensation in an Atomically-thin MoS2 Semiconductor

10.21203/rs.3.rs-940264/v1 ◽

2021 ◽

Author(s):

Qihua Xiong ◽

Andres Granados del Aguila ◽

Yi Wong ◽

Xue Liu ◽

Antonio Fieramosca ◽

...

Keyword(s):

Many Body ◽

Exotic State ◽

Electron Hole ◽

Direct Bandgap ◽

Dilute Gas ◽

Electrostatic Doping ◽

Excitonic Interactions ◽

State Of Matter ◽

Many Body Interactions ◽

Critical Temperature Tc

Abstract Condensation of a dilute Bose gas of excitons (coupled electron-hole pairs) in a direct bandgap semiconductor was first theoretically predicted in 19681. This exotic state of matter is expected to exhibit spectacular non-linear properties, such as superradiance and superfluidity. However, direct experimental observation of condensation of optically active excitons in conventional semiconductors has been hindered by their short lifetimes and weak collective excitonic interactions. Here, we have experimentally realized the condensation of short-lived excitons in a direct-bandgap, atomically-thin MoS2 semiconductor. The signature is the anomalous transport of the fast-expanding exciton density, originating from a thermalized dilute gas generated under the laser spot. Below the critical temperature Tc~150 K, the exciton liquid propagates over ultra-long distances (at least 60 micrometers) with record speed in a solid-state system of 1.8*10^7 m/s (~6% the speed of light), fuelled by the unconventionally strong repulsions among excitons. The condensation is controlled by many-body interactions in the gas mixture of excitons (bosons) and free-carriers (fermions) via an electrical backgate. Our results demonstrate electrostatic doping as a simple approach for the investigation of correlated states of matter at high-temperatures, excitonic circuitry and spin-valley Hall devices mediated by exciton superfluids in semiconducting monolayers.

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Generalized local interactions in 1D: solutions of quantum many-body systems describing distinguishable particles

Journal of Physics A General Physics ◽

10.1088/0305-4470/38/22/018 ◽

2005 ◽

Vol 38 (22) ◽

pp. 4957-4974 ◽

Cited By ~ 6

Author(s):

Martin Hallnäs ◽

Edwin Langmann ◽

Cornelius Paufler

Keyword(s):

Many Body ◽

Local Interactions ◽

Many Body Systems

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Rényi entropy of highly entangled spin chains

International Journal of Modern Physics B ◽

10.1142/s021797921850306x ◽

2018 ◽

Vol 32 (28) ◽

pp. 1850306 ◽

Cited By ~ 8

Author(s):

Fumihiko Sugino ◽

Vladimir Korepin

Keyword(s):

Spin Chain ◽

Information Science ◽

Entanglement Entropy ◽

Two Dimensions ◽

Renyi Entropy ◽

Rényi Entropy ◽

Many Body ◽

Local Interactions ◽

Many Body Systems ◽

Area Law

Entanglement is one of the most intriguing features of quantum theory and a main resource in quantum information science. Ground states of quantum many-body systems with local interactions typically obey an “area law” which means that the entanglement entropy is proportional to the boundary length. It is exceptional when the system is gapless, and the area law had been believed to be violated by at most a logarithm over two decades. Recent discovery of Motzkin and Fredkin spin chain models is striking, since these models provide significant violation of the entanglement beyond the belief, growing as a square root of the volume in spite of local interactions. In this paper, we first analytically compute the Rényi entropy of the Motzkin and Fredkin models by careful treatment of asymptotic analysis. The Rényi entropy is an important quantity, since the whole spectrum of an entangled subsystem is reconstructed once the Rényi entropy is known as a function of its parameter. We find nonanalytic behavior of the Rényi entropy with respect to the parameter, which is a novel phase transition never seen in any other spin chain studied so far. Interestingly, similar behavior is seen in the Rényi entropy of Rokhsar–Kivelson states in two dimensions.

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