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We consider the critical spin-spin correlation function of the 2D Ising model with a line defect which strength is an arbitrary function of position. By using path-integral techniques in the continuum description of this model in terms of…

Statistical Mechanics · Physics 2011-02-18 Carlos Naón , Marta Trobo

We investigate the Fermi polaron problem in a spin-1/2 Fermi gas in an optical lattice for the limit of both strong repulsive contact interactions and one dimension. In this limit, a polaronic-like behaviour is not expected, and the physics…

Quantum Gases · Physics 2017-07-11 C. W. Duncan , F. F. Bellotti , P. Öhberg , N. T. Zinner , M. Valiente

A combined analytical and numerical study is performed of the mapping between strongly interacting fermions and weakly interacting spins, in the framework of the Hubbard, t-J and Heisenberg models. While for spatially homogeneous models in…

Strongly Correlated Electrons · Physics 2010-10-15 Vivian V. França , Klaus Capelle

Using the density matrix renormalization group algorithm, we investigate the lattice model for spinless fermions in one dimension in the presence of a strong interaction and disorder. The phase sensitivity of the ground state energy is…

Strongly Correlated Electrons · Physics 2009-10-30 P. Schmitteckert , T. Schulze , C. Schuster , P. Schwab , U. Eckern

Spin is a fundamental property of any many-electron system. The ability of density functional theory to accurately predict the physical properties of a system, while varying its spin, is crucial for describing magnetic materials and…

Chemical Physics · Physics 2024-11-05 Alon Hayman , Eli Kraisler , Tamar Stein

The microscopic control available over cold atoms in optical lattices has opened new opportunities to study the properties of quantum spin models. While a lot of attention is focussed on experimentally realizing ground or thermal states via…

We propose a powerful extension to combined molecular and spin dynamics that fully captures the coupling between the atomic and spin subsystems via spin-orbit interactions. Its foundation is the inclusion of the local magnetic anisotropies…

Materials Science · Physics 2016-12-28 Dilina Perera , Markus Eisenbach , Don M. Nicholson , G. Malcolm Stocks , David P. Landau

Strongly interacting one-dimensional fermions form an effective spin chain in the absence of an external lattice potential. We show that the exchange coefficients of such a chain may be locally tuned by properly tailoring the transversal…

Quantum Gases · Physics 2017-08-02 Frank Deuretzbacher , Luis Santos

It is shown that detailed and accurate information about the mass spectrum of the massive Schwinger model can be obtained using the technique of strong-coupling series expansions. Extended strong-coupling series for the energy eigenvalues…

High Energy Physics - Lattice · Physics 2009-10-30 C. J. Hamer , Zheng Weihong , J. Oitmaa

Spinless fermions on a lattice with nearest-neighbor repulsion serve as a toy version Hubbard model, and have a symmetry-broken even/odd superlattice at half-filling. At infinite repulsion, doped holes form charged stripes which are…

Condensed Matter · Physics 2009-10-31 C. L. Henley , N. G. Zhang

In an array of coupled cavities where the cavities are doped with an atomic V-system, and the two excited levels couple to cavity photons of different polarizations, we show how to construct various spin models employed in characterizing…

Quantum Physics · Physics 2009-11-13 Alastair Kay , Dimitris G. Angelakis

We derive an energy density functional for non-relativistic spin one-half fermions in the limit of a divergent two-body scattering length. Using an epsilon expansion around d=4-epsilon spatial dimensions we compute the coefficient of the…

Nuclear Theory · Physics 2009-03-24 Gautam Rupak , Thomas Schaefer

We calculate the spectral function of a one-dimensional strongly interacting chain of fermions, where the response can be well understood in terms of spinon and holon excitations. Upon increasing the spin imbalance between the spin species,…

Strongly Correlated Electrons · Physics 2015-05-14 Tobias Ulbricht , Peter Schmitteckert

Spin models arise in the microscopic description of magnetic materials, where the macroscopic characteristics are governed by exchange interactions among the constituent magnetic moments. Recently, there has been a growing interest in…

We investigate a family of lattice models with manifest N=2 supersymmetry. The models describe fermions on a 1D lattice, subject to the constraint that no more than k consecutive lattice sites may be occupied. We discuss the special…

Strongly Correlated Electrons · Physics 2008-11-26 Paul Fendley , Bernard Nienhuis , Kareljan Schoutens

Interactions between the different degrees of freedom form the basis of many manifestations of intriguing physics in condensed matter. In this respect, quantifying the dynamics of normal modes that themselves arise from these interactions…

In scattering theory, the unitary limit is defined by an infinite scattering-length and a zero effective range, corresponding to a phase-shift \pi/2, independent of energy. This condition is satisfied by a rank-1 separable potential…

Nuclear Theory · Physics 2010-08-24 H. S. Kohler

We propose a new low-energy theory for itinerant fermions near a ferromagnetic quantum critical point. We show that the full low-energy model includes, in addition to conventional interaction via spin fluctuations, another type of…

Strongly Correlated Electrons · Physics 2015-05-14 Andrey V. Chubukov , Dmitrii L. Maslov

Different bases for the spin-1 density matrix are discussed to clarify the connection between its components and observables measured in heavy-ion collisions. The theoretical advantage of using the adjoint representation for spin matrices…

Nuclear Theory · Physics 2026-02-03 Wojciech Florkowski , Sudip Kumar Kar , Valeriya Mykhaylova

As a means of realizing oscillatory pairing between fermions, we study superfluid pairing between two fermion "spin" species that are confined to adjustable spin-dependent trapping potentials. Focusing on the one-dimensional limit, we find…

Quantum Gases · Physics 2011-03-18 Kuei Sun , Julia S. Meyer , Daniel E. Sheehy , Smitha Vishveshwara