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Related papers: Height-conserving quantum dimer models

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We study a general class of easy-axis spin models on a lattice of corner sharing even-sided polygons with all-to-all interactions within a plaquette. The low energy description corresponds to a quantum dimer model on a dual lattice of even…

Strongly Correlated Electrons · Physics 2022-11-30 Shankar Balasubramanian , Victor Galitski , Ashvin Vishwanath

Repulsively interacting particles in a periodic potential can form bound composite objects, whose dissociation is suppressed by a band gap. Nearly pure samples of such repulsively bound pairs of cold atoms -- "dimers" -- have recently been…

Other Condensed Matter · Physics 2008-03-31 David Petrosyan , Bernd Schmidt , James R. Anglin , Michael Fleischhauer

The Falicov-Kimball model is a simple quantum lattice model that describes light and heavy electrons interacting with an on-site repulsion; alternatively, it is a model of itinerant electrons and fixed nuclei. It can be seen as a…

Mathematical Physics · Physics 2009-11-07 James K. Freericks , Elliott H. Lieb , Daniel Ueltschi

The Kitaev model, whose ground state is a quantum spin liquid (QSL), was originally conceived for spin $S=1/2$ moments on a honeycomb lattice. In recent years, the model has been extended to higher $S$ from both theoretical and experimental…

Strongly Correlated Electrons · Physics 2022-11-30 Kiyu Fukui , Yasuyuki Kato , Joji Nasu , Yukitoshi Motome

We introduce a systematic protocol for constructing quantum Hilbert-space-fragmented Hamiltonians, whose Krylov-sector structure, unlike in classically fragmented models, can be fully resolved only in an entangled basis. The protocol takes…

Quantum Physics · Physics 2026-04-27 Yiqiu Han , Oliver Hart , Alexey Khudorozhkov , Rahul Nandkishore

We demonstrate that the insulating one-band Hubbard model on the pyrochlore lattice contains, for realistic parameters, an extended quantum spin-liquid phase. This is a three-dimensional spin liquid formed from a highly degenerate manifold…

Strongly Correlated Electrons · Physics 2014-05-28 B. Normand , Z. Nussinov

We propose a family of layered quantum spin-orbital models as a platform to study fractionalization, unconventional forms of symmetry-breaking order, and their possible coexistence. The models are built by stacking $N$ layers of a…

Strongly Correlated Electrons · Physics 2026-05-25 Pedro M. Cônsoli , Aayush Vijayvargia , Onur Erten

In general, the summation of a set of sub-Hamiltonians cannot share a common eigenstate of each one, only if it is an unentangled product state, such as a phantom helix state in quantum spin system. Here we present a method, referred to as…

Quantum Physics · Physics 2023-10-19 C. H. Zhang , Y. B. Shi , Z. Song

In this work, we study the extended Falicov-Kimball model at half-filling within the Hartree-Fock approach (HFA) (for various crystal lattices) and compare the results obtained with the rigorous ones derived within the dynamical mean field…

Strongly Correlated Electrons · Physics 2020-11-17 Konrad Jerzy Kapcia , Romuald Lemański , Marcin Jakub Zygmunt

Recently, quantum dimer models, in which the system can tunnel between different classical dimer configurations, have attracted a great deal of interest as a paradigm for the study of exotic quantum phases. Much of this excitement has…

Strongly Correlated Electrons · Physics 2011-10-13 Olga Sikora , Nic Shannon , Frank Pollmann , Karlo Penc , Peter Fulde

We formulate the Hubbard model for the simple cubic lattice in the representation of interacting dimers applying the exact solution of the dimer problem. By eliminating from the considerations unoccupied dimer energy levels in the large U…

Strongly Correlated Electrons · Physics 2009-11-07 M. Matlak , J. Aksamit , B. Grabiec , W. Nolting

We show how combining a discrete symmetry with topological Hilbert space fragmentation can give rise to exponentially many topologically stable qubits protected by a single discrete symmetry. We illustrate this explicitly with the example…

Quantum Physics · Physics 2025-12-24 Thomas Iadecola , Rahul Nandkishore

We consider a minimal renormalizable and gauge invariant dark matter (DM) model, in which the singlet fermion DM has only axial couplings to a new pseudoscalar mediator. The mixing between the pseudoscalar mediator and the standard model…

High Energy Physics - Phenomenology · Physics 2017-04-12 Seungwon Baek , P. Ko , Jinmian Li

We identify the mechanism of slow heterogeneous relaxation in quantum kinetically constrained models (KCMs) in which the potential energy strength is controlled by a coupling parameter. The regime of slow relaxation includes the…

Statistical Mechanics · Physics 2026-01-27 Vanja Marić , Luka Paljk , Lenart Zadnik

The phase diagram of the quantum dimer model on the hexagonal (honeycomb) lattice is computed numerically, extending on earlier work by Moessner, Sondhi, and Chandra. The different ground state phases are studied in detail using several…

Strongly Correlated Electrons · Physics 2017-12-06 Thiago M. Schlittler , Rémy Mosseri , Thomas Barthel

Two-dimensional Rokhsar-Kivelson (RK) dimer models on bipartite lattices are generally limited to translation-symmetry-broken dimer crystals. We introduce a tensor-product regularisation of the dimer Hilbert space that yields a qubit…

Strongly Correlated Electrons · Physics 2026-03-25 Ankush Chaubey , Sergej Moroz , Subhro Bhattacharjee

We consider a minimal model of fermionic dark matter, in which the Majorana fermion dark matter (DM) $\chi$ couples with the Standard Model (SM) Higgs field $H$ through a higher-dimensional term $-{\cal L}\supset H^\dagger H…

High Energy Physics - Phenomenology · Physics 2023-08-23 Junpei Ikemoto , Naoyuki Haba , Shimizu Yasuhiro , Toshifumi Yamada

We propose a two-component asymmetric FIMP (feebly interacting massive particle) dark matter (DM) model in which both DM candidates are real scalar fields. The model is an extension of the Standard Model (SM) by two scalar DM components and…

High Energy Physics - Phenomenology · Physics 2026-05-26 S. Peyman Zakeri

This work proposes an adaptive structure-preserving model order reduction method for finite-dimensional parametrized Hamiltonian systems modeling non-dissipative phenomena. To overcome the slowly decaying Kolmogorov width typical of…

Numerical Analysis · Mathematics 2022-02-02 Jan S. Hesthaven , Cecilia Pagliantini , Nicolò Ripamonti

Quantum spin liquids (QSLs) represent highly entangled states of matter in which frustration-induced quantum fluctuations suppress any symmetry-breaking phase transition down to absolute zero, giving rise to fractionalized excitations and…