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We use bosonization approach to investigate quantum phases in mixtures of bosonic and fermionic atoms confined in one dimensional optical lattices. The phase diagrams can be well understood in terms of polarons, which correspond to atoms…

Quantum Physics · Physics 2009-11-10 L. Mathey , D. -W. Wang , W. Hofstetter , M. D. Lukin , Eugene Demler

We study the phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping using exact diagonalization, the density-matrix renormalization group, the Edwards variational ansatz, and an adaptation of weak-coupling…

Strongly Correlated Electrons · Physics 2009-10-30 S. Daul , R. M. Noack

Using series expansion based on the flow equation method we study the zero temperature properties of the spin-1/2 planar pyrochlore antiferromagnet in the limit of strong diagonal coupling. Starting from the limit of decoupled crossed…

Strongly Correlated Electrons · Physics 2013-05-29 Marcelo Arlego , Wolfram Brenig

Exact diagonalizations indicate that the effective 1-dimensional behavior (sliding Luttinger liquid phase) of the frustrated spin-1/2 crossed chain model, predicted by Starykh, Singh and Levine [Phys. Rev. Lett. 88, 167203 (2002)], persists…

Strongly Correlated Electrons · Physics 2009-11-07 P. Sindzingre , J. -B. Fouet , C. Lhuillier

Recent experimental and theoretical work in strongly correlated electron system necessitates a formulation to deal with 1d to 2d dimensional crossover and raises several interesting questions. A particularly interesting question is what…

Strongly Correlated Electrons · Physics 2007-05-23 Sher Alam , M. O. Rahman

We study one-dimensional spinless fermions at zero and finite temperature T using the density matrix renormalization group. We consider nearest as well as next-nearest neighbor interactions; the latter render the system inaccessible by a…

Strongly Correlated Electrons · Physics 2022-05-09 C. Karrasch , J. E. Moore

We present theoretical and experimental evidence for a new phase of matter in neutron-rich systems that we call multimodal superfluidity. Using ab initio lattice calculations, we show that the condensate consists of coexisting s-wave pairs,…

We consider a non-chiral Luttinger liquid in the presence of a backscattering Hamiltonian which has an extended range. Right/left moving fermions at a given location can thus be converted as left/right moving fermions at a different…

Strongly Correlated Electrons · Physics 2023-01-25 A. Popoff , A. V. Lebedev , L. Raymond , T. Jonckheere , J. Rech , T. Martin

We evaluate the spectral function of interacting fermions in one dimension. Contrary to the Tomonaga-Luttinger model, our treatment accounts for the nonlinearity of the free fermion spectrum. In a striking departure from the Luttinger…

Mesoscale and Nanoscale Physics · Physics 2007-10-02 M. Khodas , M. Pustilnik , A. Kamenev , L. I. Glazman

We study fermion pairing in a population-imbalanced mixture of $^{6}$Li atomic gas loaded in a three-dimensional lattice at very low temperatures. Using the number equation for each population, the gap equation and the equation for the…

Quantum Gases · Physics 2013-10-09 Rafael Mendoza , Mauricio Fortes , M. A. Solís , Zlatko Koinov

On the basis of a calculation of the exact interliquid hopping rate and an approximate single particle Green's function, we present new evidence for the existence of a phase of relevant but incoherent inter-Luttinger liquid transport. This…

Condensed Matter · Physics 2009-10-28 David Clarke , Steven Strong

Contents I. Introduction II. Fermi Liquids III. Renormalization group for interacting fermions IV. Luttinger liquids V. Transport in a Luttinger liquid VI. The Bethe ansatz: a pedestrian introduction VII. Conclusion and outlook

Condensed Matter · Physics 2008-02-03 H. J. Schulz

We analyse the stability of inhomogeneous superfluid phases in a system consisting of identical fermions confined in two layers that are immersed in a Bose-Einstein condensate (BEC). The fermions in the two layers interact via an induced…

Quantum Gases · Physics 2018-08-01 Jonatan Melkær Midtgaard , Georg M. Bruun

We examine density ordered and superfluid phases of fermionic dipoles in a two-dimensional square lattice at non-zero temperature. The critical temperature of the density ordered phases is determined and is shown to be proportional to the…

Quantum Gases · Physics 2012-09-28 Anne-Louise Gadsbolle , G. M. Bruun

What kind of lattice Hamiltonian manifestly has an ordered state with spontaneous orbital currents? We consider interacting spinless fermions on an array of square plaquettes, connected by weak hopping; the array geometry may be a 2 x 2L…

Strongly Correlated Electrons · Physics 2013-05-29 Sumiran Pujari , C. L. Henley

We investigate the phase diagram in the plane of temperature and chemical potential mismatch for an asymmetric fermion superfluid with double- and single-species pairings. There is no mixing of these two types of pairings at fixed chemical…

Superconductivity · Physics 2009-11-13 Xuguang Huang , Xuewen Hao , Pengfei Zhuang

We use bosonization and renormalization group methods to determine the ground state phase diagram of a one-dimensional frustrated Kondo-Heisenberg system consisting of a one-dimensional spin-1/2 Luttinger liquid coupled by a Kondo exchange…

Strongly Correlated Electrons · Physics 2013-06-10 Ariel Dobry , Akbar Jaefari , Eduardo Fradkin

One dimensional free-fermions and hard-core bosons are often considered to be equivalent. Indeed, when restricted to nearest-neighbor hopping on a chain the particles cannot exchange themselves, and therefore hardly experience their own…

Strongly Correlated Electrons · Physics 2011-08-11 François Crépin , Nicolas Laflorencie , Guillaume Roux , Pascal Simon

The low-energy effective Hamiltonian of three coupled spin chains with periodic boundary conditions (spin tube) is expressed, in the limit of strong interchain coupling, in terms of XXZ chains coupled by biquadratic exchange interaction. A…

Strongly Correlated Electrons · Physics 2009-10-31 E. Orignac , R. Citro , N. Andrei

We study a generic one-dimensonal quantum model of two flavors (pseudospins) chiral complex fermions by exact diagonalization, which can have local interflavor interaction and superconducting pairings (with all irrelevant terms ignored).…

Strongly Correlated Electrons · Physics 2022-09-15 Biao Lian