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We study a model of spinless fermions on the honeycomb lattice with nearest-neighbor exclusion and extended repulsive interactions that exhibits `lattice supersymmetry' [P. Fendley, K. Schoutens, and J. de Boer, Phys. Rev. Lett. 90, 120402…

Strongly Correlated Electrons · Physics 2024-10-15 Patrick H. Wilhelm , Yves H. Kwan , Andreas M. Läuchli , S. A. Parameswaran

We develop a Green's function method to evaluate the exact equilibrium particle-density profiles of noninteracting Fermi gases in external harmonic confinement in any spatial dimension and for arbitrary trap anisotropy. While in a…

Statistical Mechanics · Physics 2009-11-07 Patrizia Vignolo , Anna Minguzzi

Characteristics of relaxed density profile and conformation of polymer chains are studied by a Monte Carlo simulation on a discrete lattice in three dimensions using different segmental (kink-jump $K$, crank-shaft $C$, reptation $R$)…

Soft Condensed Matter · Physics 2007-05-23 Frank W. Bentrem , Jun Xie , R. B. Pandey

We study the phase diagram of interacting spinless fermions on the honeycomb bilayer at charge neutrality using large-scale quantum Monte Carlo simulations. In the noninteracting limit, the low-energy spectrum features quadratically…

Strongly Correlated Electrons · Physics 2026-05-26 Zi Hong Liu , Lukas Janssen

We study the equilibrium phase diagram of a generalized ABC model on an interval of the one-dimensional lattice: each site $i=1,...,N$ is occupied by a particle of type $\a=A,B,C,$ with the average density of each particle species…

Statistical Mechanics · Physics 2011-08-22 John Barton , Joel L. Lebowitz , Eugene R. Speer

We study the zero-temperature phase diagram of a two dimensional square lattice loaded by spinless fermions, with nearest neighbor hopping and algebraically decaying pairing. We find that for sufficiently long-range pairing, new phases, not…

Strongly Correlated Electrons · Physics 2018-02-14 L. Lepori , D. Giuliano , S. Paganelli

Fermions hopping on a hexagonal lattice represent one of the most active research field in condensed matter since the discovery of graphene in 2004 and its numerous applications. Another exciting aspect of the interplay between geometry and…

Strongly Correlated Electrons · Physics 2016-11-29 Sylvain Capponi

Topological materials exhibit edge-localized scattering-free modes protected by their nontrivial bulk topology through the bulk-edge correspondence in Hermitian systems. While topological phenomena have recently been much investigated in…

Mesoscale and Nanoscale Physics · Physics 2020-11-16 Kazuki Sone , Yuto Ashida , Takahiro Sagawa

On the basis of the phase diagram of the uniform system we calculate the density profiles of a trapped polarized Fermi gas at zero temperature using the local density approximation. By varying the overall polarization and the interaction…

Other Condensed Matter · Physics 2009-01-23 G. Bertaina , S. Giorgini

The variance of the number of particles in a set is an important quantity in understanding the statistics of non-interacting fermionic systems in low dimensions. An exact map of their ground state in a harmonic trap in one and two…

Mathematical Physics · Physics 2026-03-26 G. Akemann , M. Duits , L. D. Molag

Using the density matrix renormalization group algorithm, we study the model of spinless fermions with nearest-neighbor interaction on a ring in the presence of disorder. We determine the spatial decay of the density induced by a defect…

Condensed Matter · Physics 2009-10-28 P. Schmitteckert , U. Eckern

We investigate the phase diagram of spinless fermions with nearest and next-nearest neighbour density-density interactions on the honeycomb lattice at half-filling. Using Exact Diagonalization techniques of the full Hamiltonian and…

Strongly Correlated Electrons · Physics 2015-08-28 Sylvain Capponi , Andreas M. Läuchli

We map out the phase diagram of strongly interacting fermions in a potential trap with mass and population imbalance between the two spin components. As a unique feature distinctively different from the equal-mass case, we show that the…

Other Condensed Matter · Physics 2007-05-23 G. -D. Lin , W. Yi , L. -M. Duan

We propose a new method for the evaluation of the particle density and kinetic pressure profiles in inhomogeneous one-dimensional systems of non-interacting fermions, and apply it to harmonically confined systems of up to N=1000 fermions.…

Statistical Mechanics · Physics 2009-10-31 Patrizia Vignolo , Anna Minguzzi , M. P. Tosi

We determine the zero-temperature density profile of a cloud of fermionic atoms in a trap subject to a mutual attractive interaction, as the strength of the interaction is progressively increased. We find a significant decrease of the size…

Superconductivity · Physics 2009-11-07 A. Perali , P. Pieri , G. C. Strinati

We consider the real time dynamics of $N$ noninteracting fermions in $d=1$. They evolve in a trapping potential $V(x)$, starting from the equilibrium state in a potential $V_0(x)$. We study the time evolution of the Wigner function…

Statistical Mechanics · Physics 2019-07-09 David S. Dean , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

We describe the formation of bulk and edge arcs in the dispersion relation of two-dimensional coupled-resonator arrays that are topologically trivial in the hermitian limit. Each resonator provides two asymmetrically coupled internal modes,…

Optics · Physics 2018-09-11 Simon Malzard , Henning Schomerus

We calculate the density profiles of a trapped spin-imbalanced Fermi gas with attractive interactions in a one-dimensional optical lattice, using both the local density approximation (LDA) and density matrix renormalization group (DMRG)…

Quantum Gases · Physics 2010-05-07 F. Heidrich-Meisner , G. Orso , A. Feiguin

We study the finite-energy density phase diagram of spinless fermions with attractive interactions in one dimension in the presence of uncorrelated diagonal disorder. Unlike the case of repulsive interactions, a delocalized Luttinger-liquid…

Strongly Correlated Electrons · Physics 2018-01-22 Sheng-Hsuan Lin , B. Sbierski , F. Dorfner , C. Karrasch , F. Heidrich-Meisner

We present a detailed surface density analysis of a large sample of simulated collisionless mergers of disc galaxies with bulges (mass ratios 1:1, 2:1, 3:1, 4:1, and 6:1) and without bulges (mass ratios 1:1 and 3:1). They were classified,…

Astrophysics · Physics 2009-11-11 Thorsten Naab , Ignacio Trujillo