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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…

凝聚态物理 · 物理学 2009-10-22 R. Z. Bariev , A. Klümper , A. Schadschneider , J. Zittartz

We study the entanglement Hamiltonian for a spherical domain in the ground state of a nonrelativistic free-fermion gas in arbitrary dimensions. Decomposed into a set of radial entanglement Hamiltonians, we show that the entanglement…

统计力学 · 物理学 2024-05-15 Viktor Eisler

We study an effective Hamiltonian for the standard $\nu=1/3$ fractional quantum Hall system in the thin cylinder regime. We give a complete description of its ground state space in terms of what we call Fragmented Matrix Product States,…

数学物理 · 物理学 2022-01-12 Bruno Nachtergaele , Simone Warzel , Amanda Young

We propose a general variational fermionic many-body wavefunction that generates an effective Hamiltonian in a quadratic form, which can then be exactly solved. The theory can be constructed within the density functional theory framework,…

强关联电子 · 物理学 2020-10-30 Xindong Wang , Xiao Chen , Liqin Ke , Hai-Ping Cheng , B. N. Harmon

A self-consistent theory of the frequency dependent diffusion coefficient for the Anderson localization problem is presented within the tight-binding model of non-interacting electrons on a lattice with randomly distributed on-site energy…

无序系统与神经网络 · 物理学 2015-01-23 Johann Kroha

Over the past few years, topological insulators have taken center stage in solid state physics. The desire to tune the topological invariants of the bulk and thus control the number of edge states has steered theorists and experimentalists…

介观与纳米尺度物理 · 物理学 2014-10-01 J. K. Asboth , B. Tarasinski , P. Delplace

Incoherent stochastic processes added to unitary dynamics are typically deemed detrimental since they are expected to diminish quantum features such as superposition and entanglement. Instead of exhibiting energy-conserving persistent…

We study a system composed of fermions (electrons), hopping on a square lattice, and of immobile particles (ions), that is described by the spinless Falicov-Kimball Hamiltonian augmented by a next-nearest-neighbor attractive interaction…

强关联电子 · 物理学 2009-11-10 Volodymyr Derzhko , Janusz Jedrzejewski

Higher-order topological crystalline phases in low-dimensional interacting quantum systems represent a challenging and largely unexplored research topic. Here, we derive a Hamiltonian describing fermions interacting through correlated…

强关联电子 · 物理学 2023-01-04 A. Montorsi , U. Bhattacharya , Daniel González-Cuadra , M. Lewenstein , G. Palumbo , L. Barbiero

We study the ground state as well as the dynamics of chains of bosons with local repulsive interactions and nearest-neighbour exchange using numerical techniques based on density matrix decimation. We explore the development of entanglement…

量子物理 · 物理学 2015-05-13 Jose Reslen , Sougato Bose

In a tight binding framework, we analyze the characteristics of electronic states in strongly disordered materials (hopping sites are placed randomly with no local order) with tunneling matrix elements decaying exponentially in the atomic…

材料科学 · 物理学 2012-02-01 D. J. Priour

We discuss physical properties of strongly correlated electron states for a linear chain obtained with the help of the recently proposed new method combining the exact diagonalization in the Fock space with an ab initio readjustment of the…

强关联电子 · 物理学 2007-05-23 Adam Rycerz , Jozef Spalek

We study a Hubbard hamiltonian, including a quite general nearest-neighbor interaction, parametrized by repulsion V, exchange interactions Jz, Jperp, bond-charge interaction X and hopping of pairs W. The case of correlated hopping, in which…

超导电性 · 物理学 2009-10-31 A. A. Aligia , Liliana Arrachea

We study a one-dimensional plasmonic system with non-trivial topology: a chain of metallic nanoparticles with alternating spacing, which is the plasmonic analogue to the Su-Schreiffer-Heeger model. We extend previous efforts by including…

介观与纳米尺度物理 · 物理学 2019-12-30 Simon R. Pocock , Paloma A. Huidobro , Vincenzo Giannini

The extrapolation of small-cluster exact-diagonalization calculations is used to examine ferromagnetism in the one-dimensional Hubbard model with a generalized type of hopping. It is found that the long-range hopping with power decaying…

强关联电子 · 物理学 2009-11-07 Pavol Farkasovsky

We investigate transport properties of one-dimensional fermionic tight binding models featuring nearest and next-nearest neighbor hopping, where the fermions are additionally subject to a weak short range mutual interaction. To this end we…

量子气体 · 物理学 2015-06-04 Christian Bartsch , Jochen Gemmer

We use a variational approach to gain insight into the strongly correlated d-wave superconducting state of the high Tc cuprates at T=0. We show that strong correlations lead to qualitatively different trends in pairing and phase coherence:…

超导电性 · 物理学 2009-11-10 Arun Paramekanti , Mohit Randeria , Nandini Trivedi

This study investigates the suitability of the annealed approximation in high-dimensional systems characterized by dense networks with quenched link disorder, employing models of coupled oscillators. We demonstrate that dynamic equations…

统计力学 · 物理学 2024-03-25 Jaegon Um , Hyunsuk Hong , Hyunggyu Park

Chiral polymers are ubiquitous in nature and in the cellular context they are often found in association with membranes. Here we show that surface bound polymers with an intrinsic twist and anisotropic bending stiffness can exhibit a sharp…

软凝聚态物质 · 物理学 2016-04-26 David A. Quint , Ajay Gopinathan , Gregory M. Grason

Thanks to their prominent collective character, long-range interactions promote information spreading and generate forms of entanglement scaling, which cannot be observed in traditional systems with local interactions. In this work, we…

量子物理 · 物理学 2023-05-18 Andrea Solfanelli , Stefano Ruffo , Sauro Succi , Nicolò Defenu