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In this paper we present a theoretical investigation for the ground state of an impurity immersed in a Fermi sea. The molecular regime is considered where a two-body bound state between the impurity and one of the fermions is formed. Both…

Quantum Gases · Physics 2009-09-23 Christophe Mora , Frédéric Chevy

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 investigate the ground state density distributions of anti-ferromagnetic spin-1 Bose gases in one dimensional harmonic potential in the full interacting regimes. The ground state is obtained by diagonalizing the Hamiltonian in the…

Quantum Gases · Physics 2016-06-22 Yajiang Hao

The one-dimensional Kondo lattice model is investigated by using bosonization techniques and conformal field theory. In the half-filled band, the charge and spin gaps open for the anti-ferromagnetic Kondo coupling. Away from half-filling,…

Condensed Matter · Physics 2009-10-22 S. Fujimoto , N. Kawakami

We study the phase diagram for spin-2 bosons loaded in a one-dimensional optical lattice. By using non-Abelian density matrix renormalization group (DMRG) method we identify three possible phases: ferromagnetic, dimerized, and trimerized…

Quantum Gases · Physics 2012-03-27 Pochung Chen , Zhi-Long Xue , I. P. McCulloch , Ming-Chiang Chung , S. -K. Yip

We study the ground state of few bosons with repulsive dipole-dipole interaction in a quasi-one-dimensional harmonic trap by means of the exact diagonalization method. Up to three interaction regimes are found depending on the strength of…

Quantum Gases · Physics 2013-03-19 Frank Deuretzbacher , Jonas C. Cremon , Stephanie M. Reimann

We study the interplay between the long- and short-range interaction of a one-dimensional optical lattice system of two-component dipolar fermions by using the density matrix renormalization group method. The atomic density profile,…

Quantum Gases · Physics 2018-08-29 Xingbo Wei , Chao Gao , Reza Asgari , Pei Wang , Gao Xianlong

I derive a loop representation for the canonical and grand-canonical partition functions for an interacting four-component Fermi gas in one spatial dimension and an arbitrary external potential. The representation is free of the "sign…

High Energy Physics - Lattice · Physics 2012-07-04 Michael G. Endres

We study the properties of an ultracold Fermi gas loaded in a square optical lattice and subjected to an external and classical non-Abelian gauge field. We calculate the energy spectrum of the system and show that the Dirac points in the…

Quantum Gases · Physics 2015-06-11 Li Wang , Libin Fu

Using the time-dependent density matrix renormalization group method, we calculate transport properties of an interacting Fermi gas in an optical lattice with a confining trap after a sudden displacement of the trap center. In the regime of…

Quantum Gases · Physics 2012-09-18 Jia-Wei Huo , Weiqiang Chen , U. Schollwöck , M. Troyer , Fu-Chun Zhang

Motivated by the existence of metal-insulator transition in one-dimensional non-interacting fermions in quasiperiodic and pseudorandom potentials, we studied interacting spinless fermion models using exact many-body Lanczos diagonalization…

Strongly Correlated Electrons · Physics 2009-10-30 J. C. Chaves , I. I. Satija

In this paper, we study the role of both "spin"(species) and mass imbalance in a mixture of two species of fermionic atoms with attractive interaction in an one-dimensional optical lattice. Using the bosonization approach, quantum phase…

Strongly Correlated Electrons · Physics 2009-02-09 Wen-Long Lu , Zhi-Guo Wang , Shi-Jian Gu , Hai-Qing Lin

We use the density matrix renormalization group (DMRG) method to study the ground and low-lying excited states of three kinds of uniform and dimerized alternating spin chains. The DMRG procedure is also employed to obtain low-temperature…

Strongly Correlated Electrons · Physics 2009-10-30 Swapan K. Pati , S. Ramasesha , Diptiman Sen

We numerically investigated the mixing-demixing transition of the boson-fermion mixture on a 1D lattice at an incommensurate filling with the fermion density being kept below the boson density. The phase diagram we obtained suggested that…

Other Condensed Matter · Physics 2009-11-11 Yousuke Takeuchi , Hiroyuki Mori

We study the effect of electron-electron interaction on the one-particle density of states (\emph{DOS}) $\rho^{(d)}(\epsilon,T)$ of low-dimensional disordered metals near Fermi energy within the framework of the finite temperature…

Strongly Correlated Electrons · Physics 2015-05-14 E. Sasioglu , S. Caliskan , M. Kumru

Using effective field theory approach we study a homogeneous superfluid state with a single (gapless) Fermi surface, recently suggested as a possible phase for an ultracold Fermi gas with spin-population imbalance. We find an unconventional…

Superconductivity · Physics 2007-11-05 Vladimir M. Stojanovic , W. Vincent Liu , Yong Baek Kim

We consider a model of half-filled bilayer graphene, in which the three dominant Slonczewski-Weiss-McClure hopping parameters are retained, in the presence of short range interactions. Under a smallness assumption on the interaction…

Mathematical Physics · Physics 2016-10-12 Alessandro Giuliani , Ian Jauslin

Low-energy properties of the one-dimensional Kondo lattice model are investigated by using bosonization and renormalization group methods. The formation of the spin and charge excitation gaps at half-filling is discussed in detail both for…

Strongly Correlated Electrons · Physics 2009-10-30 Satoshi Fujimoto , Norio Kawakami

In the realm of quantum chemistry, the accurate prediction of electronic structure and properties of nanostructures remains a formidable challenge. Density Functional Theory (DFT) and Density Matrix Renormalization Group (DMRG) have emerged…

Strongly Correlated Electrons · Physics 2024-02-21 T. Pauletti , M. Sanino , L. Gimenes , I. M. Carvalho , V. V. França

We study the ground state properties of dipolar bosons in a one dimensional dimerized optical lattice. In the limit of strong onsite repulsion i.e. hardcore bosons, and strong dipole-dipole interaction, a stable density wave (DW) phase is…

Quantum Gases · Physics 2021-11-04 Aoi Hayashi , Suman Mondal , Tapan Mishra , B. P. Das