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We demonstrate that a quantum annealer can be used to solve the NP-complete problem of graph partitioning into subgraphs containing Hamiltonian cycles of constrained length. We present a method to find a partition of a given directed graph…

Quantum Physics · Physics 2021-04-21 Eugenio Cocchi , Edoardo Tignone , Davide Vodola

Chemical potential oscillations mix individual-band frequencies of the de Haas-van Alphen (dHvA) and Shubnikov-de Haas (SdH) magneto-oscillations in canonical low-dimensional multi-band Fermi liquids. We predict a similar mixing in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. S. Alexandrov , V. V. Kabanov

In this work it is shown that there are symmetries beyond the Euclidean group $E\left(3\right)$ in 3-body problem, and by extension in many-body problem, with inverse squared distance inter particle force. The symmetries in 3-body problem…

General Physics · Physics 2025-01-24 Siddhesh C. Ambhire

Moving beyond traditional 2D materials is now desirable to have switching capabilities (e.g., transistors). Here we propose using graphyne because, as we will show in this letter, obtaining regions of the electronic bandstructure which act…

Materials Science · Physics 2020-12-16 Xianwei Sha , Clifford M. Krowne

We present exact solution of the problem of electronic wave functions of quasi one-dimensional band with an inter-band gap at the Fermi surface and in the presence of magnetic field. The details of the analyzed model are appropriate to the…

Strongly Correlated Electrons · Physics 2009-11-10 Danko Radic , Aleksa Bjelis , Drazen Zanchi

We present a mathematical analysis of the spin-constrained Hartree-Fock solutions (CHF) of the 2-site Hubbard model. The analysis sheds light on the spin symmetry breaking process around the Coulson-Fischer point. CHF states are useful as…

Strongly Correlated Electrons · Physics 2023-01-20 Stijn De Baerdemacker , Amir Ayati , Hugh G. A. Burton , Xeno De Vriendt , Patrick Bultinck , Guillaume Acke

We show that given a 3-colorable graph, it is NP-hard to find a 3-coloring with $(16/17 + \eps)$ of the edges bichromatic. In a related result, we show that given a satisfiable instance of the 2-to-1 Label Cover problem, it is NP-hard to…

Computational Complexity · Computer Science 2012-10-30 Per Austrin , Ryan O'Donnell , Li-Yang Tan , John Wright

Nonsymmorphic symmetries can enforce band connectivity that obstructs a single-band Wannier description. We show that a fractional translation $\mathcal{L}$ connecting distinct high-symmetry Wyckoff positions generically renders the Wannier…

Superconductivity · Physics 2026-01-06 Qinghua He , Jie Zhang , Shengdan Tao , Hai-yao Deng , Qifeng Liang , Wenlong Gao , Feng Liu

While the scaling of entanglement in a quantum system can be used to distinguish many-body quantum phases, it is usually hard to quantify the amount of entanglement in mixed states of open quantum systems, while measuring entanglement…

Statistical Mechanics · Physics 2019-06-04 Katarzyna Macieszczak , Emanuele Levi , Tommaso Macrì , Igor Lesanovsky , Juan P. Garrahan

A new method is introduced to study three-body clusters. Triangular configurations with ${\cal D}_{3h}$ point-group symmetry are analyzed. The spectrum, transition form factors and $B(E\lambda)$ values of $^{12}$C are investigated. It is…

Nuclear Theory · Physics 2009-11-07 R. Bijker , F. Iachello

Motivated by the recent discovery of superconductivity in square-planar nickelates as well as by longstanding puzzling experiments in heavy-fermion superconductors, we study Cooper pairing between correlated $d$-electrons coupled to a band…

Superconductivity · Physics 2021-01-04 Emilian M. Nica , Onur Erten

The problem of dynamical chiral symmetry breaking (DCSB) in multidimensional quantum electrodynamics (QED) is considered. It is shown that for six-dimensional QED the phenomenon of DSCB exists in ladder model for any coupling.

High Energy Physics - Theory · Physics 2007-05-23 V. E. Rochev

Superconductivity in strongly correlated systems is a remarkable phenomenon that attracts a huge interest. The study of this problem is relevant for materials as the high $T_c$ oxides, pnictides and heavy fermions. These systems also have…

Superconductivity · Physics 2018-01-23 D. Reyes , M. A. Continentino , F. Deus , C. Thomas

We prove three theorems about the use of a counting operator to study the spectrum of model Hamiltonians. We analytically calculate the eigenvalues of the Hubbard ring with four lattice positions and apply our theorems to describe the…

Strongly Correlated Electrons · Physics 2015-05-13 Tobias Verhulst , Ben Anthonis , Jan Naudts

We dress atoms with multiple-radiofrequency fields and investigate the spectrum of transitions driven by an additional probe field. A complete theoretical description of this rich spectrum is presented, in which we find allowed transitions…

An efficient physically motivated computational approach to multiband superconductivity is introduced and applied to the study of the gap symmetry in a heavy-fermion, UPd$_2$Al$_3$. Using realistic pairing potentials and accurate energy…

Superconductivity · Physics 2009-11-07 P. M. Oppeneer , G. Varelogiannis

The discovery of high-$T_c$ superconductivity in the pnictides, materials with a Fermi surface determined by several bands, highlights the need to understand how superconductivity arises in multiband systems. In this effort, using symmetry…

Superconductivity · Physics 2009-09-28 Adriana Moreo , Maria Daghofer , Andrew Nicholson , Elbio Dagotto

We construct ribbon surfaces of Euler characteristic one for several infinite families of alternating 3-braid closures. We also use a twisted Alexander polynomial obstruction to conclude the classification of smoothly slice knots which are…

Geometric Topology · Mathematics 2023-06-22 Vitalijs Brejevs

We study the electronic band-structure and transport properties of a CuO2-plane within the three-band Hubbard model. The Dynamical Mean-Field Theory (DMFT) is used to solve the many particle problem. The calculations show that the optical…

Strongly Correlated Electrons · Physics 2007-05-23 M. B. Zoelfl , Th. Maier , Th. Pruschke , J. Keller

Cosine-shaped bands that occur in DFT-based electronic band structures for MgB2 are further analyzed with calculations along reciprocal directions parallel to the high symmetry G-A direction at regular intervals along G-M. Band degeneracies…

Superconductivity · Physics 2026-03-24 Jose A. Alarco , Ian D. R. Mackinnon