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Strong repelling interactions between a few fermions or bosons confined in two-dimensional circular traps lead to particle localization and formation of quantum Wigner molecules (QWMs) possessing definite point-group space symmetries. These…

Mesoscale and Nanoscale Physics · Physics 2016-04-18 Constantine Yannouleas , Uzi Landman

We use the entanglement measure to study the evolution of quantum correlations in two-electron axially-symmetric parabolic quantum dots under a perpendicular magnetic field. We found that the entanglement indicates on the shape transition…

Mesoscale and Nanoscale Physics · Physics 2013-05-09 R. G. Nazmitdinov , N. S. Simonovic , A. R. Plastino , A. V. Chizhov

We explore the Matsubara quasiparticle fraction and the pseudogap of the two-dimensional Hubbard model with the dynamical cluster quantum Monte Carlo method. The character of the quasiparticle fraction changes from non-Fermi liquid, to…

Strongly Correlated Electrons · Physics 2009-03-23 N. S. Vidhyadhiraja , A. Macridin , C. Sen , M. Jarrell , Michael Ma

A general algorithm toward the solution of the fermion sign problem in finite-temperature quantum Monte Carlo simulations has been formulated for discretized fermion path integrals with nearest-neighbor interactions in the Trotter…

Statistical Mechanics · Physics 2009-10-31 C. H. Mak , R. Egger , H. Weber-Gottschick

We study the critical properties of one-dimensional electron systems with the $1/r^{\alpha}$-type long-range interaction ($\alpha \ge 1$). Using bosonization methods, we discuss how the 1D system exhibits a crossover from the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yasumasa Tsukamoto , Norio Kawakami

We discuss non-Fermi liquid and quantum critical behavior in heavy fermion materials, focussing on the mechanism by which the electron mass appears to diverge at the quantum critical point. We ask whether the basic mechanism for the…

Strongly Correlated Electrons · Physics 2009-11-07 P. Coleman , C. Pepin , Q. Si , R. Ramazashvili

A system of confined charged electrons interacting via the long-range Coulomb force can form a Wigner crystal due to their mutual repulsion. This happens when the potential energy of the system dominates over its kinetic energy, i.e., at…

Mesoscale and Nanoscale Physics · Physics 2020-03-24 DinhDuy Vu , Sankar Das Sarma

We study a mean-field model of a Kondo alloy using numerical techniques and analytic approximations. In this model, randomly distributed magnetic impurities interact with a band of conduction electrons and have a residual RKKY coupling of…

Strongly Correlated Electrons · Physics 2009-10-31 D. R. Grempel , M. J. Rozenberg

We apply the Schwinger boson scheme to the fully screened Kondo model and generalize the method to include antiferromagnetic interactions between ions. Our approach captures the Kondo crossover from local moment behavior to a Fermi liquid…

Strongly Correlated Electrons · Physics 2007-05-23 J. Rech , P. Coleman , G. Zarand , O. Parcollet

We present results for the equation of state of a graphene-like model in an effort to understand the properties of its quantum phase transition. The N_f fermion species interact through a three dimensional instantaneous Coulomb potential.…

Strongly Correlated Electrons · Physics 2009-04-17 Simon Hands , Costas Strouthos

From an extensive calculation of static properties of a trapped Fermi superfluid at zero temperature using a density-functional formulation, we demonstrate a universal behavior of its observables, such as energy, chemical potential, radius…

Other Condensed Matter · Physics 2009-11-13 S. K. Adhikari

The quantum dynamics of an ensemble of interacting electrons in an array of random scatterers is treated using a new numerical approach for the calculation of average values of quantum operators and time correlation functions in the Wigner…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. Filinov , P. Thomas , I. Varga , T. Meier , M. Bonitz , V. Fortov , S. W. Koch

In two-dimensional electronic systems, direct first-order phase transitions are prohibited as a consequence of the long-range Coulomb interaction, which implies a stiff energetic penalty for macroscopic phase separation. A prominent…

Strongly Correlated Electrons · Physics 2024-02-12 Sandeep Joy , Brian Skinner

For intermediate values of the Coulomb energy to Fermi energy ratio $r_s$, the ground state of a few spinless fermions confined on a two dimensional torus is the quantum superposition of a floppy Wigner molecule with delocalized vacancies…

Disordered Systems and Neural Networks · Physics 2007-05-23 Georgios Katomeris , Jean-Louis Pichard

Interactions between the constituents of a condensed matter system can drive it through a plethora of different phases due to many-body effects. A prominent platform for this type of behavior is a two-dimensional electron system in a…

Mesoscale and Nanoscale Physics · Physics 2017-07-27 D. Maryenko , A. McCollam , J. Falson , Y. Kozuka , J. Bruin , U. Zeitler , M. Kawasaki

Being motivated by the surge of fermionic quantum Monte Carlo simulations at finite temperature, we present a detailed analysis of the permutation-cycle properties of path integral Monte Carlo (PIMC) simulations of degenerate electrons.…

Computational Physics · Physics 2019-07-24 Tobias Dornheim , Simon Groth , Alexei Filinov , Michael Bonitz

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one…

Strongly Correlated Electrons · Physics 2009-10-31 M. Lavagna , C. Pépin

We consider the low-energy region of an array of Luttinger liquids coupled by a weak interchain hopping. The leading logarithmic divergences can be re-summed to all orders within a self-consistent perturbative expansion in the hopping, in…

Strongly Correlated Electrons · Physics 2009-10-31 Enrico Arrigoni

We report the quantum phase diagram of a one-dimensional Coulomb wire obtained using the path integral Monte Carlo (PIMC) method. The exact knowledge of the nodal points of this system permits us to find the energy in an exact way, solving…

Quantum Gases · Physics 2016-01-20 G. Ferre , G. E. Astrakharchik , J. Boronat

The low-temperature kinetics of the strongly correlated electron liquid inhabiting a solid is analyzed. It is demonstrated that a softly damped branch of transverse zero sound emerges when several bands cross the Fermi surface…

Strongly Correlated Electrons · Physics 2010-10-22 V. A. Khodel , J. W. Clark , M. V. Zverev