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Fractionalization is a phenomenon in which strong interactions in a quantum system drive the emergence of excitations with quantum numbers that are absent in the building blocks. Outstanding examples are excitations with charge e/3 in the…

The (three-dimensional) pyrochlore lattice antiferromagnet with Heisenberg spins of large spin length $S$ is a highly frustrated model with an macroscopic degeneracy of classical ground states. The zero-point energy of (harmonic order) spin…

Strongly Correlated Electrons · Physics 2009-11-11 Christopher L. Henley

Using a graph approach to quantum systems, we prove that descriptions of 3-dim Kochen-Specker (KS) setups as well as descriptions of 3-dim spin systems by means of Greechie lattices that we find in the literature are wrong. Correct lattices…

Quantum Physics · Physics 2010-10-13 Mladen Pavicic , Brendan D. McKay , Norman D. Megill , Kresimir Fresl

We study the quantum many-body ground states of electrons on the half-filled honeycomb lattice with short- and long-ranged density-density interactions as a model for graphene. To this end, we employ the recently developed truncated-unity…

Strongly Correlated Electrons · Physics 2017-12-06 David Sánchez de la Peña , Julian Lichtenstein , Carsten Honerkamp , Michael M. Scherer

Twisted graphene multilayers provide tunable platforms to engineer flat bands and exploit the associated strongly correlated physics. The two-dimensional nature of these systems makes them suitable for encapsulation by materials that break…

Mesoscale and Nanoscale Physics · Physics 2022-02-03 Guangze Chen , Maryam Khosravian , Jose L. Lado , Aline Ramires

Weakly interacting Fermi gases exhibit rich collective dynamics in spin-dependent potentials, arising from correlations between spin degrees of freedom and conserved single atom energies, offering broad prospects for simulating many-body…

Quantum Gases · Physics 2021-01-28 S. Pegahan , J. Kangara , I. Arakelyan , J. E. Thomas

Hybrids of graphene and two dimensional transition metal dichalcogenides (TMDC) have the potential to bring graphene spintronics to the next level. As we show here by performing first-principles calculations of graphene on monolayer…

Mesoscale and Nanoscale Physics · Physics 2015-10-14 Martin Gmitra , Jaroslav Fabian

In the framework of first-principles calculations, we investigate the structural and electronic properties of graphene in contact with as well as sandwiched between WS$_2$ and WSe$_2$ monolayers. We report the modification of the band…

Mesoscale and Nanoscale Physics · Physics 2014-12-12 T. P. Kaloni , L. Kou , T. Frauenheim , U. Schwingenschlögl

We report an exact map into one dimensional effective chains, of the tight-binding Hamiltonian for electrons in armchair and zigzag graphene nanoribbons with any uniaxial ripple. This mapping is used for studying the effect of uniaxial…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 Pedro Roman-Taboada , Gerardo G. Naumis

The recent discovery of two-dimensional magnetic insulators has generated a great deal of excitement over their potential for nanoscale manipulation of spin or magnetism. One intriguing use for these materials is to put them in contact with…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 Aron W. Cummings

Graphene, with spin and valley degrees of freedom, fosters unexpected physical and chemical properties for the realization of next-generation quantum devices. However, the spin symmetry of graphene is rather robustly protected, hampering…

Strongly Correlated Electrons · Physics 2025-12-08 Dongwon Shin , Hyeonbeom Kim , Sung Ju Hong , Sehwan Song , Yeongju Choi , Youngkuk Kim , Sungkyun Park , Dongseok Suh , Woo Seok Choi

Kane and Mele predicted that in presence of spin-orbit interaction graphene realizes the quantum spin Hall state. However, exceptionally weak intrinsic spin-orbit splitting in graphene ($\approx 10^{-5}$ eV) inhibits experimental…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Gabriel Autès , Oleg V. Yazyev

Recent experiments indicate that crystalline graphene multilayers exhibit much of the richness of their twisted counterparts, including cascades of symmetry-broken states and unconventional superconductivity. Interfacing Bernal bilayer…

Strongly Correlated Electrons · Physics 2025-09-16 Jin Ming Koh , Jason Alicea , Étienne Lantagne-Hurtubise

We study theoretically many-body properties of magic-angle twisted bilayer graphene for different doping levels. Our investigation is focused on the emergence, stability, and manifestations of nematicity of the ordered low-temperature…

Strongly Correlated Electrons · Physics 2020-10-29 A. O. Sboychakov , A. V. Rozhkov , A. L. Rakhmanov , Franco Nori

Graph states possess significant practical value in measurement-based quantum computation, with complete graph states that exhibit exceptional performance in quantum metrology. In this work, we introduce a method for generating…

Quantum Physics · Physics 2024-04-09 X. X. Li , D. X. Li , X. Q. Shao

We investigate the proximity spin-orbit and exchange couplings in ABA and ABC trilayer graphene encapsulated within monolayers of semiconducting transition-metal dichalcogenides and the ferromagnetic semiconductor Cr$_2$Ge$_2$Te$_6$.…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Klaus Zollner , Martin Gmitra , Jaroslav Fabian

We consider theoretically the electronic structure of quasi-two and quasi-one-dimensional heterostructures comprised of III-V and II-VI semiconductors such as InAs/GaInSb and HgCdTe. We show that not only a Dirac-like dispersion exists in…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Jacob B. Khurgin , Igor Vurgaftman

We solve the quantum-mechanical antiferromagnetic Heisenberg model with spins positioned on vertices of the truncated icosahedron using the density-matrix renormalization group (DMRG). This describes magnetic properties of the undoped…

Strongly Correlated Electrons · Physics 2024-08-30 Roman Rausch , Cassian Plorin , Matthias Peschke

In this paper we consider the interaction of electrons in bilayer graphene with a constant homogeneous magnetic field which is orthogonal to the bilayer surface. Departing from the energy eigenstates of the effective Hamiltonian, the…

Quantum Physics · Physics 2020-07-07 David J. Fernández C. , Dennis I. Martínez-Moreno

The mixed spin-1 and spin-1/2 Heisenberg octahedral chain with regularly alternating monomeric spin-1 sites and square-plaquette spin-1/2 sites is investigated using variational technique, localized-magnon approach, exact diagonalization…

Statistical Mechanics · Physics 2020-07-06 Katarina Karlova , Jozef Strecka , Taras Verkholyak