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The phase diagram of lattice hard core bosons with nearest-neighbor interactions allowed to vary independently, from repulsive to attractive, along different crystallographic directions, is studied by Quantum Monte Carlo simulations. We…

Statistical Mechanics · Physics 2022-08-10 Phong H. Nguyen , Massimo Boninsegni

The study of geometrically frustrated many-body quantum systems is of central importance to uncover novel quantum mechanical effects. We design a scheme where ultracold bosons trapped in a one-dimensional state-dependent optical lattice are…

We study the ground state phase diagram of a frustrated spin-1/2 four-leg tube. Using a variety of complementary techniques, namely density matrix renormalization group, exact diagonalization, Schwinger boson mean field theory, quantum…

Strongly Correlated Electrons · Physics 2015-06-11 M. Arlego , W. Brenig , Y. Rahnavard , B. Willenberg , H. D. Rosales , G. Rossini

Recent experiments have illustrated that long range two-body interactions can be induced by laser coupling atoms to highly excited Rydberg states. Stimulated by this achievement, we study supersolidity of lattice bosons in an experimentally…

Quantum Gases · Physics 2018-03-14 Yongqiang Li , Andreas Geissler , Walter Hofstetter , Weibin Li

We study the ground state properties of the geometrically frustrated Hubbard model on the anisotropic checkerboard lattice with nearest-neighbor hopping $t$ and next nearest-neighbor hopping $t'$. By using the path-integral renormalization…

Strongly Correlated Electrons · Physics 2009-11-13 Takuya Yoshioka , Akihisa Koga , Norio Kawakami

Phases analogous to supersolids can be realized in spin systems. Here we obtain the phase diagram of a frustrated dimer spin-1/2 system on a square lattice and study the collective excitation spectra, focusing on the supersolid state (SS).…

Strongly Correlated Electrons · Physics 2015-03-27 Yuta Murakami , Takashi Oka , Hideo Aoki

We study a one-dimensional system of strongly correlated bosons on a dynamical lattice. To this end, we extend the standard Bose-Hubbard Hamiltonian to include extra degrees of freedom on the bonds of the lattice. We show that this minimal…

The burnt-bridges ratchet (BBR) mechanism is a model for biased molecular motion whereby the construct destroys track binding sites as it progresses, and therefore acts as a diffusing forager, seeking new substrate sites. Using Monte Carlo…

Biological Physics · Physics 2018-09-19 Chapin S. Korosec , Martin J. Zuckermann , Nancy R. Forde

The interplay of interactions and disorder in low-dimensional superconductors supports the formation of multiple quantum phases, as possible instabilities of the Superconductor-Insulator Transition (SIT) at a singular quantum critical…

Superconductivity · Physics 2021-06-09 Eyal Walach , Efrat Shimshoni

We study the phase diagram of the three-state Potts model on a triangular lattice with general interactions (ferro/antiferromagnetic) between nearest neighbor spins. When the interactions along two lattice-vector directions are…

Condensed Matter · Physics 2009-10-22 Hyunggyu Park

Moir\'e materials have emerged as a rich platform for exploring strong correlation effects in low dimensions, with twisted bilayer graphene (TBG) as a paradigmatic example. To distill the essential ingredients driving moir\'e-induced…

Strongly Correlated Electrons · Physics 2026-03-19 Paban Kumar Patra , Ranjith R. Kumar , Yixuan Huang , Hridis K. Pal

In this work we revisit the Axial Third Nearest Neighbour Ising (A3NNI) chain and examine in detail some aspects of its phase behaviour ensuing from competing interactions and resulting frustration. We probe the phase behaviour with two…

Statistical Mechanics · Physics 2025-07-16 Soumen Khatua , Riekshika Sanwari , Vikram Patil , Anurag Sahay

We study a model of resonant multilead point-contact tunneling by using the boundary state formulation. At a critical point the model is described by multi-flavor chiral fermions on an infinite line with a point contact interaction at the…

Strongly Correlated Electrons · Physics 2017-03-08 Taejin Lee

We introduce generic bosonic models exemplifying that chiral Meissner currents can persist in insulating phases of matter. We first consider interacting bosons on a two-leg ladder. The total density sector can be gapped in a bosonic Mott…

Quantum Gases · Physics 2015-03-05 Alexandru Petrescu , Karyn Le Hur

We numerically demonstrate that a supersolid phase exists in a frustrated hard-core boson system on a triangular lattice over a wide range of interaction strength. In the infinite repulsion (Ising) limit, we establish a mapping to the same…

Strongly Correlated Electrons · Physics 2009-09-30 H. C. Jiang , M. Q. Weng , Z. Y. Weng , D. N. Sheng , L. Balents

By using the dual vortex method (DVM), we develop systematically a simple and effective scheme to use the vortex degree of freedoms on dual lattices to characterize the symmetry breaking patterns of the boson insulating states in the direct…

Strongly Correlated Electrons · Physics 2013-01-16 Yan Chen , Jinwu Ye

We numerically study the phase diagram of bosons tightly trapped in the lowest band of an optical lattice and dispersively coupled to a single-mode cavity field. The dynamics is encompassed by an extended Bose-Hubbard model. Here, the…

Quantum Gases · Physics 2022-09-13 Titas Chanda , Rebecca Kraus , Jakub Zakrzewski , Giovanna Morigi

We investigate the ground-state phase diagram of a one-dimensional $\mathbb{Z}_2$ lattice gauge theory (LGT) model with hard-core bosons at half-filling, extending previous studies by including second nearest-neighbor (2NN) interactions.…

Strongly Correlated Electrons · Physics 2025-12-12 Yeimer Zambrano , Aleksey Alekseev , Konrad J. Kapcia , Krzysztof Cichy , Agnieszka Cichy

We present path integral ground state (PIGS) quantum Monte Carlo calculations for the ground state ($T = 0$) properties of repulsively interacting bosons in a three-dimensional external double well potential over a range of interaction…

Quantum Gases · Physics 2017-11-27 Joel C. Corbo , Jonathan L. DuBois , K. Birgitta Whaley

Geometric frustration leads to complex phases of matter with exotic properties. Antiferromagnets on triangular lattices and square ice are two simple models of geometrical frustration. We map their highly degenerated ground-state phase…

Statistical Mechanics · Physics 2015-05-13 Yilong Han