Fermionic atoms in 2D optical lattices and electrons in HTc cuprates may both be described by the Hubbard model. However, if Coulomb frustration is responsible for the striped phases in 2D cuprates the phase diagrams will differ markedly. Two representative scenarios are described by a simple stripe model without phase separation and a mean field model with phase separation in the absence of Coulomb frustration. When Coulomb frustrated both models display antiferromagnetism (AF) and stripe phases with d-wave superfluidity, whereas neutral atoms in optical lattices will only do so in the stripe model. Radii and densities of the various phases in harmonically confined optical lattices are calculated for the two models and have very different Mott plateaus and density discontinuities. We discuss observation of antiferromagnetic, stripe and superfluid phases in density and momentum distributions and correlations from time-of-flight experiments.Fermionic atoms in 2D optical lattices and electrons in HTc cuprates may both be described by the Hubbard model. However, if Coulomb frustration is responsible for the striped phases in 2D cuprates the phase diagrams will differ markedly. Two representative scenarios are described by a simple stripe model without phase separation and a mean field model with phase separation in the absence of Coulomb frustration. When Coulomb frustrated both models display antiferromagnetism (AF) and stripe phases with d-wave superfluidity, whereas neutral atoms in optical lattices will only do so in the stripe model. Radii and densities of the various phases in harmonically confined optical lattices are calculated for the two models and have very different Mott plateaus and density discontinuities. We discuss observation of antiferromagnetic, stripe and superfluid phases in density and momentum distributions and correlations from time-of-flight experiments.

arXiv:0802.0127Feb 1, 20080 citations

Large Isolated Stripes on Short 18-leg $t$ - $J$ CylindersLarge Isolated Stripes on Short 18-leg $t$-$J$ Cylinders

Tizian Blatz, Sebastian Paeckel, Ulrich Schollwöck +2 more

Spin-charge stripes belong to the most prominent low-temperature orders besides superconductivity in high-temperature superconductors. This phase is particularly challenging to study numerically due to finite-size effects. By investigating the formation of long, isolated stripes, we offer a perspective complementary to typical finite-doping phase diagrams. We use the density-matrix renormalization group algorithm to extract the ground states of an 18-leg cylindrical strip geometry, making the diameter significantly wider than in previous works. This approach allows us to map out the range of possible stripe filling fractions on the electron versus hole-doped side. We find good agreement with established results, suggesting that the spread of filling fractions observed in the literature is governed by the physics of a single stripe. Taking a microscopic look at stripe formation, we reveal two separate regimes - a high-filling regime captured by a simplified squeezed-space model and a low-filling regime characterized by the structure of individual pairs of dopants. Thereby, we trace back the phenomenology of the striped phase to its microscopic constituents and highlight the different challenges for observing the two regimes in quantum simulation experiments.Spin-charge stripes belong to the most prominent low-temperature orders besides superconductivity in high-temperature superconductors. This phase is particularly challenging to study numerically due to finite-size effects. By investigating the formation of long, isolated stripes, we offer a perspective complementary to typical finite-doping phase diagrams. We use the density-matrix renormalization group algorithm to extract the ground states of an 18-leg cylindrical strip geometry, making the diameter significantly wider than in previous works. This approach allows us to map out the range of possible stripe filling fractions on the electron versus hole-doped side. We find good agreement with established results, suggesting that the spread of filling fractions observed in the literature is governed by the physics of a single stripe. Taking a microscopic look at stripe formation, we reveal two separate regimes - a high-filling regime captured by a simplified squeezed-space model and a low-filling regime characterized by the structure of individual pairs of dopants. Thereby, we trace back the phenomenology of the striped phase to its microscopic constituents and highlight the different challenges for observing the two regimes in quantum simulation experiments.

cond-mat.str-elCross-listedarXiv:2512.15714Physical review. B./Physical review. BDec 18, 20250 citations

Stripe Phase in the t-J model

Chi-Ho Cheng, Tae-Wuk Lee, Wei‐Cheng Lee +1 more

APSMar 1, 20010 citations

FINDING PHASE SEPARATION IN THE t–J MODEL NUMERICALLY

C. Stephen Hellberg, Efstratios Manousakis

Journal of Physics and Chemistry of SolidsOct 1, 19986 citations

Large Isolated Stripes on Short 18-leg

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