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We study the attractive Hubbard model with spin imbalance on two lattices featuring a flat band: the Lieb and kagome lattices. We present mean-field phase diagrams featuring exotic superfluid phases, similar to the…

A detailed study of a model for strongly-interacting fermions with exclusion rules and lattice $\mathcal N=2$ supersymmetry is presented. A submanifold in the space of parameters of the model where it is Bethe-ansatz solvable is identified.…

统计力学 · 物理学 2014-12-04 Christian Hagendorf , Thessa B. Fokkema , Liza Huijse

We consider a localized impurity atom that interacts with a cloud of fermions in the paired state. We develop an effective scattering length description of the interaction between an impurity and a fermionic atom using their vacuum…

量子气体 · 物理学 2011-03-22 Eric Vernier , David Pekker , Martin W. Zwierlein , Eugene Demler

We present a model compound with a spin-1/2 frustrated square lattice, in which three ferromagnetic (F) interactions and one antiferromagnetic (AF) compet. Considering the effective spin-1 formed by the dominant F dimer, this square lattice…

强关联电子 · 物理学 2021-08-31 H. Yamaguchi , N. Uemoto , T. Okubo , Y. Kono , S. Kittaka , T. Sakakibara , T. Yajima , S. Shimono , Y. Iwasaki , Y. Hosokoshi

Two-particle lattice states are important for physics of magnetism, superconducting oxides, and cold quantum gases. The quantum-mechanical lattice problem is exactly solvable for finite-range interaction potentials. A two-body Schroedinder…

超导电性 · 物理学 2023-12-25 Pavel E. Kornilovitch

We propose a novel two-dimensional (2D)frustrated quantum spin-1/2 anisotropic Heisenberg model with alternating ferromagnetic and antiferromagnetic magnetic chains along one direction and antiferromagnetic interactions along the other. The…

强关联电子 · 物理学 2021-01-20 Kingshuk Majumdar , Subhendra D. Mahanti

We study the dynamics of two strongly-interacting fermions moving in 2D lattices under the action of a periodic electric field, both with and without a magnetic flux. Due to the interaction, these particles bind together forming a doublon.…

量子气体 · 物理学 2019-11-22 Miguel Bello , Charles E. Creffield , Gloria Platero

The quantum phases of one-dimensional spin $s= 1/2$ chains are discussed for models with two parameters, frustrating exchange $g = J_2 > 0$ between second neighbors and normalized nonfrustrating power-law exchange with exponent $\alpha$ and…

强关联电子 · 物理学 2015-06-17 Manoranjan Kumar , Z. G. Soos

An integral part of scattering theory calculations in continuum quantum systems involves identifying appropriate boundary conditions in addition to writing down the correct Hamiltonian. In the simplest problem of scattering in one…

介观与纳米尺度物理 · 物理学 2022-12-16 Abhiram Soori

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…

强关联电子 · 物理学 2008-11-26 Paul Fendley , Bernard Nienhuis , Kareljan Schoutens

We explore the interactions of two strangeness -3 baryons in multiple spin channels with lattice QCD. This system provides an ideal laboratory for exploring the interactions of multi-baryon systems with minimal dependence on light quark…

高能物理 - 格点 · 物理学 2013-05-30 Michael I. Buchoff , Thomas C. Luu , Joseph Wasem

We introduce a model compound featuring a spin-1/2 frustrated square lattice partially coupled by spin-5/2. A significant magnetization plateau exceeding 60 T could be observed, indicating a quantum state formed by $S$ = 1/2 spins in the…

We study a model of strongly correlated electrons on the square lattice which exhibits charge frustration and quantum critical behavior. The potential is tuned to make the interactions supersymmetric. We establish a rigorous mathematical…

强关联电子 · 物理学 2008-10-08 Liza Huijse , James Halverson , Paul Fendley , Kareljan Schoutens

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

We consider a general quantum field relativistic scattering involving two half spin fermions, $A$ and $B$, which are initially entangled with another fermion $C$ that does not participate in the scattering dynamics. We construct general…

量子物理 · 物理学 2022-10-05 Juan D. Fonseca , B. Hiller , J. B. Araujo , I. G. da Paz , Marcos Sampaio

A system of two-species, one-dimensional fermions, with an attractive two-body interaction of the derivative-delta type, features a scale anomaly. In contrast to the well-known two-dimensional case with contact interactions, and its…

Quantum phase transition at the saturation field is studied for a class of frustrated quantum antiferromagnets. The considered models include (i) the $J_1$-$J_2$ frustrated square-lattice antiferromagnet with $J_2={1/2}J_1$ and (ii) the…

强关联电子 · 物理学 2007-05-23 G. Jackeli , M. E. Zhitomirsky

By means of the recently developed algorithm based on the tensor product states, the magnetization process of frustrated spin-1/2 spin-dimer models on a square lattice is investigated. Various field-induced quantum phases are discovered. In…

强关联电子 · 物理学 2010-01-26 Pochung Chen , Chen-Yen Lai , Min-Fong Yang

The mass shifts for two-fermion bound and scattering P-wave states subject to the long-range interactions due to QED in the non-relativistic regime are derived. Introducing a short range force coupling the spinless fermions to one unit of…

高能物理 - 格点 · 物理学 2021-01-19 Gianluca Stellin , Ulf-G. Meißner

We investigate finite number effects in collisions between two states of an initially well defined number of identical bosons with attractive contact interactions, oscillating in the presence of harmonic confinement in one dimension. We…

量子气体 · 物理学 2014-01-17 David I. H. Holdaway , Christoph Weiss , Simon A. Gardiner