We discuss an electronic model consisting of two chains or planes, each described by a t-J model, coupled by t'-J' interactions between them. For J'\ensuremath{\sim}J or larger we show the presence of a spin-gap and hole-pair formation upon doping. The model exhibits superconducting pairing correlations away from half filling. We support our claims by numerical studies of the spin gap, the binding energy of holes, and the pairing correlations on finite clusters. The hole-pairing operator is a spin singlet with one member of the pair in each chain or plane. Our model belongs to the universality class of the U0 Hubbard model with \ensuremath{\Vert}U\ensuremath{\Vert}\ensuremath{\gg}t. We argue that this model may be physically realized by doping the orthorhombic compound (VO ${)}_{2}$ ${\mathrm{P}}_{2}$ ${\mathrm{O}}_{7}$ .We discuss an electronic model consisting of two chains or planes, each described by a t-J model, coupled by t'-J' interactions between them. For J'\ensuremath{\sim}J or larger we show the presence of a spin-gap and hole-pair formation upon doping. The model exhibits superconducting pairing correlations away from half filling. We support our claims by numerical studies of the spin gap, the binding energy of holes, and the pairing correlations on finite clusters. The hole-pairing operator is a spin singlet with one member of the pair in each chain or plane. Our model belongs to the universality class of the U0 Hubbard model with \ensuremath{\Vert}U\ensuremath{\Vert}\ensuremath{\gg}t. We argue that this model may be physically realized by doping the orthorhombic compound (VO${)}_{2}$${\mathrm{P}}_{2}$${\mathrm{O}}_{7}$.

Physical review. B, Condensed matterMar 1, 1992758 citations

Dynamics of a single hole in the $t-J$ modelDynamics of a single hole in the $t-J$ model

Fabian Grusdt, Márton Kanász-Nagy, Annabelle Bohrdt +1 more

Bulletin of the American Physical SocietyMar 13, 20170 citations

Excitation spectrum of planar spin-½ Heisenberg xxz chains

T. Schneider, E. Stoll, Ueli Glaus

We present analytic weak-coupling and numerical finite-chain results for the dynamic form factor associated with the out-of-plane fluctuations at zero temperature and zero field. The dynamic form factor associated with the in-plane fluctuations is treated numerically only. In the ferromagnetic regime, the dominant features are traced back to particle-hole pair continua and the associated bound states. With the approach toward the isotropic ferromagnet, the resonance associated with the bound state of the particle-hole pairs gradually exhausts the spectrum, corresponding in this limit to the magnon peak. In the antiferromagnetic regime, the spectrum is dominated by the particle-hole pair continuum. The analytic results for the dynamic form factor associated with the out-of-plane fluctuations reproduce and extend the well-known properties of the continuum model to leading order in the coupling constant. As expected from the relation between the six-vertex model and the $\mathrm{xxz}$ chain, these properties include singular behavior of dynamic form factors depending continuously on the coupling constant.We present analytic weak-coupling and numerical finite-chain results for the dynamic form factor associated with the out-of-plane fluctuations at zero temperature and zero field. The dynamic form factor associated with the in-plane fluctuations is treated numerically only. In the ferromagnetic regime, the dominant features are traced back to particle-hole pair continua and the associated bound states. With the approach toward the isotropic ferromagnet, the resonance associated with the bound state of the particle-hole pairs gradually exhausts the spectrum, corresponding in this limit to the magnon peak. In the antiferromagnetic regime, the spectrum is dominated by the particle-hole pair continuum. The analytic results for the dynamic form factor associated with the out-of-plane fluctuations reproduce and extend the well-known properties of the continuum model to leading order in the coupling constant. As expected from the relation between the six-vertex model and the $\mathrm{xxz}$ chain, these properties include singular behavior of dynamic form factors depending continuously on the coupling constant.

Physical review. B, Condensed matterAug 1, 198229 citations

Bound state of two holes in the t-J model

Jun-ichiro Inoue, Sadamichi Maekawa

Physica C SuperconductivityDec 1, 19912 citations

Interface delocalization in the three-dimensional Ising model with a defect plane

A. Benyoussef, Abdallah El Kenz

Using mean-field theory, the finite-cluster approximation, and the real-space renormalization group, we study the spin-1/2 Ising model on a cubic lattice with a defect plane that divides the system into two semi-infinite ones. The phase diagrams, which represent the connection between defect-plane order and wetting phenomena, are given in the case of two equivalent semi-infinite systems (the same coupling) and in the case of different semi-infinite systems. These phase diagrams are in agreement with those conjectured qualitatively by Igloi and Indekeu.Using mean-field theory, the finite-cluster approximation, and the real-space renormalization group, we study the spin-1/2 Ising model on a cubic lattice with a defect plane that divides the system into two semi-infinite ones. The phase diagrams, which represent the connection between defect-plane order and wetting phenomena, are given in the case of two equivalent semi-infinite systems (the same coupling) and in the case of different semi-infinite systems. These phase diagrams are in agreement with those conjectured qualitatively by Igloi and Indekeu.

Physical review. B, Condensed matterFeb 1, 19933 citations

Large-size two-hole bound states in the t-J model

Michael Yu. Kuchiev, Oleg P. Sushkov

arXiv:cond-mat/9403044Physica C SuperconductivityDec 1, 199346 citations

{)}_{2}

{\mathrm{P}}_{2}

{\mathrm{O}}_{7}

Dynamics of a single hole in the

t-J

model

\mathrm{xxz}

chain, these properties include singular behavior of dynamic form factors depending continuously on the coupling constant.