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We present a new theoretical approach to the study of $\nu=1$ quantum Hall bilayer that is based on a systematic mapping of the microscopic Hamiltonian to an anisotropic SU(4) spin model on a lattice. To study the properties of this model…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. A. Burkov , A. H. MacDonald

Motivated by recent neutron scattering experiments on the cuprate superconductors, we present a phenomenological framework describing the dynamics of collective spin excitations coupled to charge/bond order fluctuations. Our quantum lattice…

Strongly Correlated Electrons · Physics 2007-05-23 Matthias Vojta , Subir Sachdev

Certain aspects of some unitary quantum systems are well-described by evolution via a non-Hermitian effective Hamiltonian, as in the Wigner-Weisskopf theory for spontaneous decay. Conversely, any non-Hermitian Hamiltonian evolution can be…

High Energy Physics - Lattice · Physics 2021-12-01 Jay Hubisz , Bharath Sambasivam , Judah Unmuth-Yockey

The continuous imaginary-time quantum Monte Carlo method with the worm update algorithm is applied to explore the ground state properties of the spin-1/2 Heisenberg model with antiferromagnetic (AF) coupling $J>0$ and ferromagnetic (F)…

Strongly Correlated Electrons · Physics 2017-06-07 Yi-Zhen Huang , Gang Su

A theoretical approach to the influence of one-dimensional lattice fluctuations on electronic properties in weakly localized spin-Peierls systems is proposed using the renormalization group and the functional integral techniques. The…

Condensed Matter · Physics 2009-10-28 Claude Bourbonnais , Benoit Dumoulin

The lattice formulation of quantum gravity provides a natural framework in which non-perturbative properties of the ground state can be studied in detail. In this paper we investigate how the lattice results relate to the continuum…

High Energy Physics - Theory · Physics 2009-11-10 Herbert W. Hamber , Ruth M. Williams

We investigate the efficiency of the recently proposed Restricted Boltzmann Machine (RBM) representation of quantum many-body states to study both the static properties and quantum spin dynamics in the two-dimensional Heisenberg model on a…

Strongly Correlated Electrons · Physics 2019-07-10 G. Fabiani , J. H. Mentink

We show that spatially local, yet low-energy, fluctuations can play an essential role in the physics of strongly correlated electron systems tuned to a quantum critical point. A detailed microscopic analysis of the Kondo lattice model is…

Strongly Correlated Electrons · Physics 2009-11-07 Qimiao Si , Silvio Rabello , Kevin Ingersent , Lleweilun Smith

Fictitious magnetic fields can be introduced in quantum magnets by the strain engineering and the Aharonov-Casher effect. Here, we study impacts of a uniform fictitious magnetic field and corresponding Landau quantization on the Neel order…

Strongly Correlated Electrons · Physics 2025-05-12 Takayuki Yokoyama , Yasuhiro Tada

The two-dimensional Wigner crystals are studied with the variational quantum Monte Carlo method. The close relationship between the ground-state wavefunction and the collective excitations in the system is illustrated, and used to guide the…

Condensed Matter · Physics 2009-10-28 Xuejun Zhu , Steven G. Louie

A new ``Dynamical Mean-field theory'' based approach for the Kondo lattice model with quantum spins is introduced. The inspection of exactly solvable limiting cases and several known approximation methods, namely the second-order…

Strongly Correlated Electrons · Physics 2009-11-07 D. Meyer , C. Santos , W. Nolting

Magnetic properties of two and three-dimensional clusters of quantum dots are studied with exact diagonalization of a generalized Hubbard model. We study the weak coupling limit, where the electrons interact only within a quantum dot and…

Strongly Correlated Electrons · Physics 2009-11-13 J. -P. Nikkarila , M. Koskinen , M. Manninen

We investigate the spin-1/2 Heisenberg model on a rectangular lattice, using the Gutzwiller projected variational wave function known as the staggered flux state. Using Monte Carlo techniques, the variational parameters and static…

Strongly Correlated Electrons · Physics 2021-01-04 N. E. Shaik , B. Dalla Piazza , D. A. Ivanov , H. M. Rønnow

In Phys. Rev. Lett. 84, 4204 (2000) (cond-mat/9905379), Kato et al. presented quantum Monte Carlo results indicating that the critical concentration of random non-magnetic sites in the two-dimensional antiferromagnetic Heisenberg model…

Strongly Correlated Electrons · Physics 2009-10-31 Anders W. Sandvik

We explore the magnetic properties of a two-dimensional Hubbard model on an inhomogeneous square lattice, which provides a platform for tuning the bandwidth of the flat band. In its limit, this inhomogeneous square lattice turns into a Lieb…

Strongly Correlated Electrons · Physics 2023-06-16 Xiao Zhang , Runyu Ma , Zenghui Fan , Zixuan Jia , Lufeng Zhang , Tianxing Ma

We study the antiferromagnetic spin-1/2 Heisenberg model on a two-dimensional bipartite quasiperiodic structure, the octagonal tiling -- the aperiodic equivalent of the square lattice for periodic systems. An approximate block spin…

Strongly Correlated Electrons · Physics 2016-08-31 A. Jagannathan

The site- and bond-dilution effects of the nonmagnetic ground state of a two-dimensional $S=1/2$ antiferromagnetic Heisenberg model, coupled with the lattice distortions on a square lattice, are investigated by performing quantum Monte…

Strongly Correlated Electrons · Physics 2019-01-25 Chitoshi Yasuda , Shouta Miyara

A comprehensive comparison between the magnetic field- and temperature-dependent low frequency spin dynamics in the antiferromagnetic spin-1/2 Heisenberg chain (AFHC) system copper pyrazine dinitrate, probed via the 13C-nuclear magnetic…

Strongly Correlated Electrons · Physics 2015-05-19 H. Kuehne , A. A. Zvyagin , M. Guenther , A. P. Reyes , P. L. Kuhns , M. M. Turnbull , C. P. Landee , H. -H. Klauss

We put forward the idea of lattice quantum magnetometry, i.e. quantum sensing of magnetic fields by a charged (spinless) particle placed on a finite two-dimensional lattice. In particular, we focus on the detection of a locally static…

Quantum Physics · Physics 2019-06-25 Luca Razzoli , Luca Ghirardi , Ilaria Siloi , Paolo Bordone , Matteo G. A. Paris

We investigate the S=1/2 antiferromagnetic Heisenberg model with a 3$\times$3 checkerboard lattice structure in a longitudinal magnetic field. By using the stochastic series expansion quantum Monte Carlo (SSE-QMC) method, we obtain the…

Strongly Correlated Electrons · Physics 2025-07-22 Xuyang Liang , Dao-Xin Yao
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