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We investigate the topological phase transition with large Chern number in a coupled layer system. The topological transitions between different topological superfluids can be realized by controlling the binding energy, interlay tunneling…

Quantum Gases · Physics 2015-04-29 Beibing Huang , Jeffrey Chun Fai Chan , Ming Gong

Given a triangulation of a closed orientable surface, we place single-mode resonators or single-orbital artificial atoms at its vertices, edges and facets, and we devise near-neighbor hopping terms derived from the boundary and Poincar\'e…

Strongly Correlated Electrons · Physics 2026-03-09 Nigel Higson , Emil Prodan

We investigate the excitation spectrum of a model of $N$ colour fermions with correlated hopping which can be solved by a nested Bethe ansatz. The gapless excitations of particle-hole type are calculated as well as the spin-wave like…

Condensed Matter · Physics 2009-10-22 R. Z. Bariev , A. Klümper , A. Schadschneider , J. Zittartz

It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this work we disprove this common lore by presenting a theory for all…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Jie Wang , Semyon Klevtsov , Zhao Liu

Chern insulators are band insulators exhibiting a nonzero Hall conductance but preserving the lattice translational symmetry. We conclusively show that a partially filled Chern insulator at 1/3 filling exhibits a fractional quantum Hall…

Strongly Correlated Electrons · Physics 2015-03-19 N. Regnault , B. Andrei Bernevig

The study of entanglement in strongly correlated electron systems typically requires knowledge of the reduced density matrix. Here, we apply the parquet dynamical vertex approximation to study the two-site reduced density matrix at varying…

Strongly Correlated Electrons · Physics 2026-01-28 Frederic Bippus , Anna Kauch , Gergő Roósz , Christian Mayrhofer , Fakher Assaad , Karsten Held

In this study, a tight-binding model on square octagon lattice with nearest-neighbour and next-nearest-neighbour hoppings is considered. The system is topologically trivial although it exhibits quadratic band-touching points in its…

Mesoscale and Nanoscale Physics · Physics 2020-01-06 Arghya Sil , Asim Kumar Ghosh

We present exact formulas for the entanglement and R\'{e}nyi entropies generated at a quantum point contact (QPC) in terms of the statistics of charge fluctuations, which we illustrate with examples from both equilibrium and non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2011-05-04 H. Francis Song , Christian Flindt , Stephan Rachel , Israel Klich , Karyn Le Hur

We prove that all the criteria proposed in the literature to identify a Chern band hosting exact fractional Chern insulating ground states, in fact, describe an equivalence with a lowest Landau level defined in curved space under a…

Mesoscale and Nanoscale Physics · Physics 2024-01-18 B. Estienne , N. Regnault , V. Crépel

We propose characterization of the three-dimensional topological insulator by using the Chern number for the entanglement Hamiltonian (entanglement Chern number). Here we take the extensive spin partition of the system, that pulls out the…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Hiromu Araki , Takahiro Fukui , Yasuhiro Hatsugai

We show how two qubits encoded in the orbital states of two quantum dots can be entangled or disentangled in a controlled way through their interaction with a weak electron current. The transmission/reflection spectrum of each scattered…

Quantum Physics · Physics 2011-01-19 Fabrizio Buscemi , Paolo Bordone , Andrea Bertoni

Moir\'e flatbands with high Chern numbers (C>1) offer opportunities to study the fractional quantum anomalous Hall effects that go beyond the Landau level paradigm with C=1, which remain unexplored yet. Here, we target the novel topological…

Continuous variables systems find valuable applications in quantum information processing. To deal with an infinite-dimensional Hilbert space, one in general has to handle large numbers of discretized measurements in tasks such as…

The flattening of single-particle band structures plays an important role in the quest for novel quantum states of matter due to the crucial role of interactions. Recent advances in theory and experiment made it possible to construct and…

Strongly Correlated Electrons · Physics 2025-04-04 Laura Classen , Joseph J. Betouras

The density of states, even for a perfectly ordered tight-binding model, can exhibit a tail-like feature at the top of the band, provided the hopping integral falls off in space slowly enough. We apply the coherent potential approximation…

Disordered Systems and Neural Networks · Physics 2016-08-31 D. B. Balagurov , V. A. Malyshev , F. Dominguez-Adame

We investigate how topological entanglement of Chern-Simons theory is captured in a string theoretic realization. Our explorations are motivated by a desire to understand how quantum entanglement of low energy open string degrees of freedom…

High Energy Physics - Theory · Physics 2020-01-08 Veronika E. Hubeny , Roji Pius , Mukund Rangamani

We investigate the effects of suppression of single-particle dispersion near the Fermi level on the spin gap and the singlet-pairing correlation by using the exact diagonalization method for finite-size systems. We consider strongly…

Strongly Correlated Electrons · Physics 2009-10-31 Masanori Kohno , Masatoshi Imada

Electrons residing in flat-band system can play a vital role in triggering spectacular phenomenology due to relatively large interactions and spontaneous breaking of different degeneracies. In this work we demonstrate chirally twisted…

We obtain the band structure of a particle moving in a magnetic spin texture, classified by its chirality and structure factor, in the presence of spin-orbit coupling. This rich interplay leads to a variety of novel topological phases…

Quantum Gases · Physics 2015-06-17 Timothy M. McCormick , Nandini Trivedi

We study the entanglement properties of a quantum lattice-gas model for which we can find the exact ground state (of the Rokhsar-Kivelson type). The ground state can be expressed as a superposition of states, each of which is characterized…

Statistical Mechanics · Physics 2012-09-20 Shu Tanaka , Ryo Tamura , Hosho Katsura
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