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We implement an extension of the pseudofermion functional renormalization group (PFFRG) method for quantum spin systems that takes into account two-loop diagrammatic contributions. An efficient numerical treatment of the additional terms is…

Strongly Correlated Electrons · Physics 2018-04-18 Marlon Rueck , Johannes Reuther

The pseudo-fermion representation for $S=1/2$ quantum spins introduces unphysical states in the Hilbert space which can be projected out using the Popov-Fedotov trick. However, state-of-the-art implementation of the functional…

Strongly Correlated Electrons · Physics 2023-01-26 Benedikt Schneider , Dominik Kiese , Björn Sbierski

We present an elaborate electron-spin resonance study of the low-energy dynamics and magnetization in the ordered phase of the magnetically frustrated spinel ZnCr$_2$O$_4$. We observe several resonance modes corresponding to different…

Strongly Correlated Electrons · Physics 2010-11-29 V. N. Glazkov , A. M. Farutin , V. Tsurkan , H. -A. Krug von Nidda , A. Loidl

The ground states of Klein type spin models on the pyrochlore and checkerboard lattice are spanned by the set of singlet dimer coverings, and thus possess an extensive ground--state degeneracy. Among the many exotic consequences is the…

Strongly Correlated Electrons · Physics 2015-06-25 Z. Nussinov , C. D. Batista , B. Normand , S. A. Trugman

We document the coexistence of ferro- and anti-ferromagnetism in pyrochlore $\rm Yb_2Ti_2O_7$ using three neutron scattering techniques on stoichiometric crystals: elastic neutron scattering shows a canted ferromagnetic ground state,…

Strongly Correlated Electrons · Physics 2020-10-27 A. Scheie , J. Kindervater , S. Zhang , H. J. Changlani , G. Sala , G. Ehlers , A. Heinemann , G. S. Tucker , S. M. Koohpayeh , C. Broholm

We perform a general study of spin ordering on the pyrochlore lattice with a 3:1 proportionality of two spin polarizations. Equivalently, this describes valence bond solid conformations of a quantum dimer model on the diamond lattice. We…

Strongly Correlated Electrons · Physics 2007-05-23 Doron L. Bergman , Gregory A. Fiete , Leon Balents

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 present AC and DC magnetometry, heat capacity, muon spin relaxation ($\mu$SR) and resonant inelastic X-ray scattering (RIXS) studies of the pyrochlore osmate Y$_2$Os$_2$O$_7$. We observe a non-zero effective moment governed by…

Frustrated pyrochlore lattices in transition-metal oxides provide an ideal platform for realizing exotic quantum states, including spin liquids with unconventional low-energy excitations arising from the macroscopic ground-state degeneracy…

Strongly Correlated Electrons · Physics 2026-05-26 Satish Kumar , U. Jena , A. Bandhopadhay , G. B. G. Stenning , D. T. Adroja , S. Petit , P. Khuntia

Motivated by the recent discovery of anomalously large magnetic response of chiral phonons in dipolar magnets, we explore an extension to study Einstein quantum phonon modes coupled to multipolar moments. We consider the case of non-Kramers…

Strongly Correlated Electrons · Physics 2025-06-25 Ruairidh Sutcliffe , Kathleen Hart , Swati Chaudhary , Arun Paramekanti

We analyze the interplay of antiferromagnetism and pairing in the two dimensional Hubbard model with a moderate repulsive interaction. Coupled charge, magnetic and pairing fluctuations above the energy scale of spontaneous symmetry breaking…

Strongly Correlated Electrons · Physics 2021-01-04 Demetrio Vilardi , Pietro M. Bonetti , Walter Metzner

The (three-dimensional) pyrochlore lattice antiferromagnet with Heisenberg spins of large spin length $S$ is a highly frustrated model with an macroscopic degeneracy of classical ground states. The zero-point energy of (harmonic order) spin…

Strongly Correlated Electrons · Physics 2009-11-11 Christopher L. Henley

Neutron scattering, a.c. magnetic susceptibility and specific heat studies have been carried out on polycrystalline Dy2Zr2O7. Unlike the pyrochlore spin ice Dy2Ti2O7, Dy2Zr2O7 crystallizes into the fluorite structure and the magnetic Dy3+…

Disordered Systems and Neural Networks · Physics 2019-07-01 J. G. A. Ramon , C. W. Wang , L. Ishida , P. L. Bernardo , M. M. Leite , F. M. Vichi , J. S. Gardner , R. S. Freitas

Recent experiments suggest that the Ising pyrochlore magnets ${\rm Ho_{2}Ti_{2}O_{7}}$ and ${\rm Dy_{2}Ti_{2}O_{7}}$ display qualitative properties of the spin ice model proposed by Harris {\it et al.} \prl {\bf 79}, 2554 (1997). We discuss…

Disordered Systems and Neural Networks · Physics 2009-10-31 Byron C. den Hertog , Michel J. P. Gingras

Magnetization measurements under a hydrostatic pressure of P = 1.4 GPa were performed on the coupled spin dimer system TlCuCl_3, which exhibits a pressure-induced quantum phase transition from a gapped singlet state to an antiferromagnetic…

Strongly Correlated Electrons · Physics 2009-11-13 Fumiko Yamada , Yasuyuki Ishii , Takao Suzuki , Teiichiro Matsuzaki , Hidekazu Tanaka

We investigate dimerized quantum spin systems using the spin functional renormalization group approach proposed by Krieg and Kopietz [Phys. Rev. B 99, 060403(R) (2019)] which directly focuses on the physical spin correlation functions and…

Strongly Correlated Electrons · Physics 2022-06-16 Andreas Rückriegel , Jonas Arnold , Raphael Goll , Peter Kopietz

Magnetization, magnetocaloric, calorimetric, neutron and X-ray diffraction and inelastic neutron scattering measurements are performed on single crystals of BaCdVO(PO$_4$)$_2$. The low-temperature crystal structure is found to be of a lower…

Strongly Correlated Electrons · Physics 2019-11-07 V. K. Bhartiya , K. Yu. Povarov , D. Blosser , S. Bettler , Z. Yan , S. Gvasaliya , S. Raymond , E. Ressouche , K. Beauvois , J. Xu , F. Yokaichiya , A. Zheludev

We present a functional renormalization group scheme that allows us to calculate frustrated magnetic systems of arbitrary lattice geometry beyond O(200) sites from first principles. We study the magnetic susceptibility of the…

Strongly Correlated Electrons · Physics 2015-05-19 Johannes Reuther , Ronny Thomale

Pyrochlore magnets are a paradigmatic example of three-dimensional frustrated systems and provide an excellent platform for studying a variety of exotic many-body phenomena, including spin liquids, nematic phases, fragmentation, and order…

Strongly Correlated Electrons · Physics 2025-10-29 Niccolò Francini , Lukas Schmidt , Lukas Janssen , Daniel Lozano-Gómez

We study the $S=1/2$ pyrochlore Heisenberg antiferromagnet in a magnetic field. Using large scale density-matrix renormalization group (DMRG) calculations for clusters up to $128$ spins, we find indications for a finite triplet gap, causing…

Strongly Correlated Electrons · Physics 2022-09-14 Imre Hagymási , Robin Schäfer , Roderich Moessner , David J. Luitz
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