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Pyrochlore systems ($A_{2}B_{2}O_{7}$) with $A$-site rare-earth local moments and $B$-site $5d$ conduction electrons offer excellent material platforms for the discovery of exotic quantum many-body ground states. Notable examples include…

Strongly Correlated Electrons · Physics 2019-05-01 Hanbit Oh , Sangjin Lee , Yong Baek Kim , Eun-Gook Moon

We examine the equilibrium properties of lattice bosons with attractive on-site interactions in the presence of a three-body hard-core constraint that stabilizes the system against collapse and gives rise to a dimer superfluid phase formed…

Quantum Gases · Physics 2011-05-11 Lars Bonnes , Stefan Wessel

We study the superfluid to Mott insulator transition of bosons in a two-legged ladder optical lattice, of a type accessible in current experiments on double-well optical lattices. The zero-temperature phase diagram is mapped out, with a…

Other Condensed Matter · Physics 2009-11-13 Ippei Danshita , James E. Williams , Carlos A. R. Sa de Melo , Charles W. Clark

We perform quantum Monte Carlo simulations to study the 2D hard-core Bose-Hubbard model in a random potential. Our motivation is to investigate the effects of randomness on the Kosterlitz--Thouless (KT) transition. The chemical potential is…

Statistical Mechanics · Physics 2015-05-14 Hiroki Kuroyanagi , Mitsuaki Tsukamoto , Makoto Tsubota

Quantum phase transitions from the cluster-charge interaction, which is composed of competing short- and long-range interactions, are investigated on a $\pi$-flux lattice by using the mean-field theory and determinant quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2022-08-17 Xingchuan Zhu , Yiqun Huang , Huaiming Guo , Shiping Feng

We employ the stochastic series expansion quantum Monte Carlo (SSE-QMC) method to investigate the $S = 1/2$ antiferromagnetic Heisenberg model on a bilayer square lattice with diluted interlayer couplings. Both regular and random dilution…

Strongly Correlated Electrons · Physics 2025-09-05 Kunpeng Li , Han-Qing Wu , Dao-Xin Yao

We present a detailed derivation of a multi-site mean-field theory (MSMFT) used to describe the Mott-insulator to superfluid transition of bosonic atoms in optical lattices. The approach is based on partitioning the lattice into small…

Quantum Gases · Physics 2015-06-03 T. McIntosh , P. Pisarski , R. J. Gooding , E. Zaremba

The interplay between disorder and vortex--vortex interactions in strongly disordered superconductors in a magnetic field can stabilize a vortex-glass state, characterized by strong pinning and the absence of positional order. Yet its role…

We study the effects of weak columnar and point disorder on the vortex-lattice phase transitions in high temperature superconductors. The combined effect of thermal fluctuations and of quenched disorder is investigated using a simplified…

Condensed Matter · Physics 2009-10-28 Yadin Y. Goldschmidt

In this chapter we discuss aspects of the quantum critical behavior that occurs at a quantum phase transition separating a topological phase from a conventionally ordered one. We concentrate on a family of quantum lattice models, namely…

Strongly Correlated Electrons · Physics 2015-05-14 Claudio Castelnovo , Simon Trebst , Matthias Troyer

We propose a new phenomenological framework for three classes of Kondo lattice materials that incorporates the interplay between the fluctuations associated with the antiferromagnetic quantum critical point and those produced by the…

Strongly Correlated Electrons · Physics 2017-06-29 Yi-feng Yang , David Pines , Gilbert Lonzarich

We present the results of computer simulations on a class of percolative systems that forms a new universality class. We show the results for the critical exponents for this new class, inferred from simulations of two- and three-dimensional…

Strongly Correlated Electrons · Physics 2021-04-09 Sean Fayfar , Alex Bretaña , Wouter Montfrooij

We study the Mott phases and superfluid-insulator transition of spin-three bosons in an optical lattice with an anisotropic two dimensional optical trap. We chart out the phase diagrams for Mott states with $n=1$ and $n=2$ atoms per lattice…

Strongly Correlated Electrons · Physics 2009-11-11 Jean-Sebastien Bernier , K. Sengupta , Yong Baek Kim

The superfluid to Mott insulator transition and the superradiant transition are textbook examples for quantum phase transition and coherent quantum optics, respectively. Recent experiments in ETH and Hamburg succeeded in loading degenerate…

Quantum Gases · Physics 2016-04-20 Yu Chen , Zhenhua Yu , Hui Zhai

We investigate the superfluid (SF) to Bose glass (BG) quantum phase transition using extensive quantum Monte Carlo simulations of two-dimensional hard-core bosons in a random box potential. $T=0$ critical properties are studied by thorough…

Disordered Systems and Neural Networks · Physics 2015-04-22 Juan Pablo Álvarez Zúñiga , David J. Luitz , Gabriel Lemarié , Nicolas Laflorencie

We propose an unconventional topological quantum phase transition connecting a higher-order topological insulator (HOTI) and a featureless Mott insulator sharing the same symmetry patterns. We construct an effective theory description of…

Strongly Correlated Electrons · Physics 2021-01-13 Yizhi You , Julian Bibo , Taylor L. Hughes , Frank Pollmann

We derive a controlled expansion into mean field plus fluctuations for the extended Bose-Hubbard model, involving interactions with many neighbors on an arbitrary periodic lattice, and study the superfluid-supersolid phase transition. Near…

Other Condensed Matter · Physics 2008-09-09 Ralf Schützhold , Michael Uhlmann , Uwe R. Fischer

We show that the interplay between geometric criticality and dynamical fluctuations leads to a novel universality class of the contact process on a randomly diluted lattice. The nonequilibrium phase transition across the percolation…

Statistical Mechanics · Physics 2007-05-23 Thomas Vojta , Man Young Lee

We have studied superfluid-Mott insulating transition of spin-1 bosons interacting antiferromagnetically in an optical lattice. We have obtained the zero-temperature phase diagram by a mean-field approximation and have found that the…

Soft Condensed Matter · Physics 2013-05-29 Shunji Tsuchiya , Susumu Kurihara , Takashi Kimura

We present a Monte Carlo study of the Bose-glass to superfluid transition in the three-dimensional Bose-Hubbard model. Simulations are performed on the classical (3 + 1) dimensional link-current representation using the geometrical worm…

Strongly Correlated Electrons · Physics 2007-05-23 Peter Hitchcock , Erik S. Sorensen