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We consider possible exotic ground states of quantum spin ice as realized in rare earth pyrochlores. Prior work in Phys. Rev. Lett. 108, 037202 introduced a gauge mean field theory (gMFT) to treat spin or pseudospin Hamiltonians for such…

Strongly Correlated Electrons · Physics 2015-06-04 SungBin Lee , Shigeki Onoda , Leon Balents

This paper explores the large-S route to quantum disorder in the Heisenberg antiferromagnet on the pyrochlore lattice and its homologues in lower dimensions. It is shown that zero-point fluctuations of spins shape up a valence-bond solid at…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg Tchernyshyov

A glance at recent research on magnetism turns up a curious set of articles discussing, or claiming evidence for, a state of matter called a quantum spin liquid (QSL). These articles are notable in their invocation of exotic notions of…

Strongly Correlated Electrons · Physics 2023-10-31 T. Lancaster

The Hubbard model in the strong-coupling regime is studied by the Kondo-lattice theory. If no symmetry is broken at a sufficiently low temperature in sufficiently low dimensions, an electron liquid is stabilized by the Fock-type exchange…

Strongly Correlated Electrons · Physics 2012-11-01 Fusayoshi J. Ohkawa

We show that ultradilute quantum liquids can be formed with ultracold bosonic dipolar atoms in a bilayer geometry. Contrary to previous realizations of ultradilute liquids, there is no need for stabilizing the system with an additional…

Quantum Gases · Physics 2022-02-14 G. Guijarro , G. E. Astrakharchik , J. Boronat

We perform highly accurate density matrix renormalization group (DMRG) simulations to investigate the ground state properties of the spin-1/2 antiferromagnetic square lattice Heisenberg $J_1$-$J_2$ model. Based on studies of numerous long…

Strongly Correlated Electrons · Physics 2012-07-20 Hong-Chen Jiang , Hong Yao , Leon Balents

The spin liquid phase is one of the prominent strongly interacting topological phases of matter whose unambiguous confirmation is yet to be reached despite intensive experimental efforts on numerous candidate materials. Recently, a new…

Strongly Correlated Electrons · Physics 2018-05-10 Andrei Catuneanu , Youhei Yamaji , Gideon Wachtel , Yong Baek Kim , Hae-Young Kee

Quantum Spin Liquids (QSLs) are phases of interacting spins that do not order even at the absolute zero temperature, making it impossible to characterize them by a local order parameter. In this article, we review the unique view provided…

Strongly Correlated Electrons · Physics 2013-02-06 Tarun Grover , Yi Zhang , Ashvin Vishwanath

Mott insulators with localized magnetic moments will exhibit a quantum spin liquid (QSL) state when the quantum fluctuations are strong enough to suppress the ordering of the spins. Such an entangled state will give rise to collective…

Strongly Correlated Electrons · Physics 2025-04-17 Haiyang Chen , Fo-Hong Wang , Qiang Gao , Xue-Jian Gao , Zhenhua Chen , Yaobo Huang , Kam Tuen Law , Xiao Yan Xu , Peng Chen

Geometric frustrations and quantum mechanical fluctuations may prohibit the formation of long-range ordering even at the lowest temperature, and therefore liquid-like ground states could be expected. A good example is the quantum spin…

Spins in solids and molecules are promising for applications of quantum sensing technology. The sensitivity of the quantum sensing depends on how precisely spin observables can be determined in the measurement, and is intrinsically limited…

Quantum Physics · Physics 2025-11-21 Yifan Song , Nabiha Hasan , Susumu Takahashi

We carry out an analytical study of quantum spin ice, a U$(1)$ quantum spin liquid close to the classical spin ice solution for an effective spin $1/2$ model with anisotropic exchange couplings $J_{zz}$, $J_{\pm}$ and $J_{z\pm}$ on the…

Strongly Correlated Electrons · Physics 2015-02-13 Zhihao Hao , Alexandre G. R. Day , M. J. P. Gingras

A quantum melting of the spin ice is proposed for pyrochlore-lattice magnets Pr$_2TM_2$O$_7$ ($TM=$Ir, Zr, and Sn). The quantum superexchange Hamiltonian having a nontrivial magnetic anisotropy is derived in the basis of atomic non-Kramers…

Strongly Correlated Electrons · Physics 2010-07-26 Shigeki Onoda , Yoichi Tanaka

We propose a method for controllable generation of non-local entangled pairs using spinor atoms loaded in an optical superlattice. Our scheme iteratively increases the distance between entangled atoms by controlling the coupling between the…

The existance of a spin disordered ground state for the frustrated Quantum Heisenberg Antiferromagnet on a square lattice is reconsidered. It is argued that there is a unique action which is continuous through the whole phase diagram,…

Condensed Matter · Physics 2009-10-22 Jaime Ferrer

The quantum spin liquid (QSL) state has been searched intensively in Kitaev-like materials, such as the Iridium oxides $A_2$IrO$_3$ and $\alpha$-RuCl$_3$. The half-filled Kitaev-Hubbard model with bond dependent hopping terms is used to…

Strongly Correlated Electrons · Physics 2022-10-06 Shaojun Dong , Hao Zhang , Chao Wang , Meng Zhang , Yong-Jian Han , Lixin He

An emergent $\mathrm{SU}(4)$ symmetry discovered in the microscopic model for $d^1$ honeycomb materials [M.~G.~Yamada, M.~Oshikawa, and G.~Jackeli, Phys. Rev. Lett. \textbf{121}, 097201 (2018).] has enabled us to tailor exotic…

Strongly Correlated Electrons · Physics 2022-01-03 Masahiko G. Yamada , Masaki Oshikawa , George Jackeli

Quantum spin liquids (QSLs) represent highly entangled states of matter in which frustration-induced quantum fluctuations suppress any symmetry-breaking phase transition down to absolute zero, giving rise to fractionalized excitations and…

Motivated by recent experiments on the vanadium oxyfluoride material DQVOF, we examine possible spin liquid phases on a breathing kagome lattice of S=1/2 spins. By performing a projective symmetry group analysis, we determine the possible…

Strongly Correlated Electrons · Physics 2017-02-15 Robert Schaffer , Yejin Huh , Kyusung Hwang , Yong Baek Kim

Mott insulators are commonly pictured with electrons localized on lattice sites. Their low-energy degrees of freedom involve spins only. Here we observe emerging charge degrees of freedom in a molecule-based Mott insulator…