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We prove upper and lower bounds on the free energy in the Sherrington-Kirkpatrick model with multidimensional (e.g., Heisenberg) spins in terms of the variational inequalities based on the corresponding Parisi functional. We employ the…

Probability · Mathematics 2009-02-24 Anton Bovier , Anton Klimovsky

The magnetic extension of the Thomas-Fermi-Weizs\"acker kinetic energy is used within density-functional-theory to numerically obtain the ground state densities and energies of two-dimensional quantum dots. The results are thoroughly…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Llorenç Serra , Antonio Puente

Disorder-free localization has recently emerged as a mechanism for ergodicity breaking in homogeneous lattice gauge theories. In this work we show that this mechanism can lead to unconventional states of quantum matter as the absence of…

Strongly Correlated Electrons · Physics 2021-09-22 Guo-Yi Zhu , Markus Heyl

Using density functional theory, we investigate fluctuations of the ground state energy of spin-polarized, disordered quantum dots in the metallic regime. To compare to experiment, we evaluate the distribution of addition energies and find…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. Hirose , F. Zhou , N. Wingreen

A self-consistent theory of the frequency dependent diffusion coefficient for the Anderson localization problem is presented within the tight-binding model of non-interacting electrons on a lattice with randomly distributed on-site energy…

Disordered Systems and Neural Networks · Physics 2015-01-23 Johann Kroha

We generalize normal mode expansion of Green's tensor $\bar{\bar{G}}(\bf{r},\bf{r}')$ to lossy resonators in open systems, resolving a longstanding open challenge. We obtain a simple yet robust formulation, whereby radiation of energy to…

Optics · Physics 2019-04-10 Parry Y. Chen , David J. Bergman , Yonatan Sivan

The extended Hubbard Hamiltonian is a widely accepted model for uncovering the effects of strong correlations on the phase diagram of low-dimensional systems, and a variety of theoretical techniques have been applied to it. In this paper…

Strongly Correlated Electrons · Physics 2007-09-07 H. A. Craig , C. N. Varney , W. E. Pickett , R. T. Scalettar

The combined effect of frustration and correlation in electrons is a matter of considerable interest of late. In this context a Falicov-Kimball model on a triangular lattice with two localized states, relevant for certain correlated…

Strongly Correlated Electrons · Physics 2015-05-19 Umesh K. Yadav , T. Maitra , Ishwar Singh , A. Taraphder

The magnetic properties of two-dimensional altermagnets can be obtained from a square lattice Heisenberg model with antiferromagetic nearest neighbor interaction and two types of next-nearest neighbor interactions arranged in a checkerboard…

Strongly Correlated Electrons · Physics 2026-01-28 Niklas Cichutek , Peter Kopietz , Andreas Rückriegel

We show that the one-dimensional extended Hubbard model has saturated ferromagnetic ground states with the spin-triplet electron pair condensation in a certain range of parameters. The ground state wave functions with fixed electron numbers…

Strongly Correlated Electrons · Physics 2016-10-12 Akinori Tanaka

By calculating all terms of the high-density expansion of the euclidean random matrix theory (up to second-order in the inverse density) for the vibrational spectrum of a topologically disordered system we show that the low-frequency…

Disordered Systems and Neural Networks · Physics 2015-05-18 Carl Ganter , Walter Schirmacher

We introduce a one-dimensional (1D) extended quantum breakdown model comprising a fermionic and a spin degree of freedom per site, and featuring a spatially asymmetric breakdown-type interaction between the fermions and spins. We…

Strongly Correlated Electrons · Physics 2024-10-17 Bo-Ting Chen , Abhinav Prem , Nicolas Regnault , Biao Lian

Quantum phase transitions in the one-dimensional extended quantum compass model in transverse field are studied by using the Jordan-Wigner transformation. This model is always gapful except at the critical surfaces where the energy gap…

Strongly Correlated Electrons · Physics 2015-05-27 R. Jafari

We develop a low energy effective field theory of a mixture of two species of pseudospin-1/2 atoms with interspecies spin-exchange, in addition to density-density interaction. This approach is beyond the single orbital-mode approximation.…

Quantum Gases · Physics 2013-03-01 Li Ge , Yu Shi

For the 1D quantum East model with open boundaries, we show that in the limit $s \to -\infty$, the ground state is accurately captured by a simple spin-coherent product state. We further identify a low-entanglement excited eigenstate that…

Quantum Physics · Physics 2026-03-02 Adway Kumar Das , Achilleas Lazarides

We study the two-dimensional Edwards-Anderson spin-glass model using a parallel tempering Monte Carlo algorithm. The ground-state energy and entropy are calculated for different bond distributions. In particular, the entropy is obtained by…

Statistical Mechanics · Physics 2015-05-28 D. J. Perez-Morelo , A. J. Ramirez-Pastor , F. Roma

We apply the thermal (imaginary time) perturbative expansion to the relevant effective field theory to compute characteristics of the phase transition to the ordered state which can occur at low temperatures in the gas of (nonrelativistic)…

Quantum Gases · Physics 2023-09-27 Oskar Grocholski , Piotr H. Chankowski

We investigate quantum dynamics of the excited electronic states in the double-exchange model at half-filling by solving coupled equations for the quantum evolution of electrons and Landau-Lifshits-Gilbert equation for classical spins. The…

Strongly Correlated Electrons · Physics 2009-05-05 W. Koshibae , N. Furukawa , N. Nagaosa

The ground states and excited states of the Lipkin model hamiltonian are calculated using a new theoretical approach which has been derived from an extended time-dependent Hartree-Fock theory known as the time-dependent density-matrix…

Nuclear Theory · Physics 2009-11-10 S. Takahara , M. Tohyama , P. Schuck

A study is presented of a two-dimensional frustrated and dimerized quantum spin-system which models the effect of inter-chain coupling in a spin-Peierls compound. Employing a bond-boson method to account for quantum disorder in the ground…

Strongly Correlated Electrons · Physics 2009-10-30 Wolfram Brenig