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We present lattice results for spin-1/2 fermions at unitarity, where the effective range of the interaction is zero and the scattering length is infinite. We measure the spatial coherence of difermion pairs for a system of 6, 10, 14, 18,…

Statistical Mechanics · Physics 2008-11-26 Dean Lee

We study a lattice realization of a Luttinger liquid interacting with a bath of quantum spins in terms of an antiferromagnetic S=1/2 Heisenberg chain, where each spin is also coupled to a \sigma=1/2 Kondo spin degree of freedom. This model…

Strongly Correlated Electrons · Physics 2007-09-12 F. H. L. Essler , T. Kuzmenko , I. A. Zaliznyak

We study four-lead junction of semi-infinite wires by using fermionic representation in the scattering state formalism. The model of spinless fermions with short-range Luttinger liquid type interaction is used. We find the renormalization…

Strongly Correlated Electrons · Physics 2015-11-10 D. N. Aristov , R. A. Niyazov

In this article we describe a multi-layered honeycomb lattice model of interacting fermions which supports a new kind of parity-preserving skyrmion superfluidity. We derive the low-energy field theory describing a non-BCS fermionic…

Strongly Correlated Electrons · Physics 2015-06-22 Giandomenico Palumbo , Mauro Cirio

To explore superfluidity in flat-band systems, we consider a Bose-Hubbard model on a cross-linked ladder with $\pi$ flux, which has a flat band with a gap between the other band for noninteracting particles, where we study the effect of the…

Strongly Correlated Electrons · Physics 2013-12-10 Shintaro Takayoshi , Hosho Katsura , Noriaki Watanabe , Hideo Aoki

The theoretical description of interacting fermions in one spatial dimension is simplified by the fact that the low energy spectrum of noniteracting fermions is identical to the one of a harmonic chain. This fermion-boson transmutation…

Strongly Correlated Electrons · Physics 2007-05-23 K. Schonhammer

The coherence of transport between two one-dimensional interacting Fermi liquids, coupled by single particle hopping and interchain interaction, is examined in the context of two exactly soluble models. It is found that the coherence of the…

Statistical Mechanics · Physics 2009-10-28 Nic Shannon , Yanmin Li , Nicholas d'Ambrumenil

In this work we provide for a description of the low-energy physics of interacting multi-species fermions in terms of the bound-states that are stabilized in these systems when a spin gap opens. We argue that, at energies much smaller than…

Strongly Correlated Electrons · Physics 2017-03-15 P. Azaria

Gapless Luttinger liquid is conventionally viewed as topologically trivial, unless it hosts degenerate ground states and or entanglement spectrum, which necessitates partial bulk degree of freedom to be gapped out. Here we predict an…

Strongly Correlated Electrons · Physics 2021-07-27 Sen Niu , Yucheng Wang , Xiong-Jun Liu

An instability of a diffusive Fermi liquid, indicative of a metal-insulator transition (expected to be of first order), arising solely from the competition between quenched disorder and short-ranged interparticle interactions is identified…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthew S. Foster , Andreas W. W. Ludwig

Multicanonical ensemble sampling simulations have been performed to calculate the phase diagram of a Lennard-Jones fluid embedded in a fractal random matrix generated through diffusion limited cluster aggregation. The study of the system at…

Statistical Mechanics · Physics 2015-06-25 V. De Grandis , P. Gallo , M. Rovere

We study the quantum electrodynamics of Luttinger fermions with quadratic band-crossing dispersion in three dimensions. The model can be viewed as the low-energy effective theory of a putative $U(1)$ quantum spin liquid with fermionic…

Strongly Correlated Electrons · Physics 2022-07-22 Santanu Dey , Joseph Maciejko

The one dimensional $SU(2)$ Kondo Lattice model is studied by Density Matrix Renormalization Group away from half-filling. We find signatures of a Heavy Tomonaga-Luttinger Liquid (HTLL) phase, which describes one dimensional Heavy Fermions.…

Strongly Correlated Electrons · Physics 2018-05-17 Ilia Khait , Patrick Azaria , Claudius Hubig , Ulrich Schollwöck , Assa Auerbach

The Luttinger model is a paradigm for the breakdown due to interactions of the Fermi liquid description of one-dimensional massless Dirac fermions. Attempts to discretize the model on a one-dimensional lattice have failed to reproduce the…

Strongly Correlated Electrons · Physics 2025-09-16 V. A. Zakharov , J. Tworzydlo , C. W. J. Beenakker , M. J. Pacholski

We investigate the properties of the Heisenberg S=1 chain with bilinear and biquadratic interactions in a magnetic field using the Density Matrix Renormalization Group, Bethe ansatz and field theoretical considerations. In a large region of…

Strongly Correlated Electrons · Physics 2011-06-02 Salvatore R. Manmana , Andreas M. Läuchli , Fabian H. L. Essler , Frédéric Mila

We non-perturbatively study pairing in the high-temperature regime of polarized unitary two-component Fermi gases by extracting the pair-momentum distribution and shot-noise correlations. Whereas the pair-momentum distribution allows us to…

Quantum Gases · Physics 2022-06-29 Felipe Attanasio , Lukas Rammelmüller , Joaquín E. Drut , Jens Braun

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…

Strongly Correlated Electrons · Physics 2023-01-04 A. Montorsi , U. Bhattacharya , Daniel González-Cuadra , M. Lewenstein , G. Palumbo , L. Barbiero

We study a model in (2+1)-dimensional spacetime that is realized by an array of chains, each of which realizes relativistic Majorana fields in (1+1)-dimensional spacetime, coupled via current-current interactions. The model is shown to have…

Strongly Correlated Electrons · Physics 2019-06-05 Jyong-Hao Chen , Christopher Mudry , Claudio Chamon , A. M. Tsvelik

We show that one-dimensional binary mixtures of bosons or of a boson and a spin-polarized fermion are Luttinger liquids with the following instabilities: i) For different particle densities, strong attraction between the mixture components…

Soft Condensed Matter · Physics 2007-05-23 M. A. Cazalilla , A. F. Ho

We study fermions on a finite chain, interacting repulsively when residing on the same and on nearest-neighbor sites, and subjected to a Wannier-Stark linearly-varying potential. Using the density matrix renormalization-group numerical…

Strongly Correlated Electrons · Physics 2023-10-06 N. Aucar Boidi , K. Hallberg , A. Aharony , O. Entin-Wohlman