2014
DOI: 10.1103/physrevb.89.020408
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Renormalization group analysis of competing quantum phases in theJ1-J2Heisenberg model on the kagome lattice

Abstract: Recent discoveries in neutron scattering experiments for Kapellasite and Herbertsmithite as well as theoretical calculations of possible spin liquid phases have revived interest in magnetic phenomena on the kagome lattice. We study the quantum phase diagram of the S = 1/2 Heisenberg kagome model as a function of nearest neighbor coupling J1 and second neighbor coupling J2. Employing the pseudofermion functional renormalization group, we find four types of magnetic quantum order (q = 0 order, cuboc order, ferro… Show more

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Cited by 78 publications
(100 citation statements)
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“…Variational studies using projected fermionic parton wavefunctions favor a different, gapless Dirac state [45][46][47] . A bosonic parton wavefunction does, however, give a competitive energy for a Z 2 QSL state in the extended J 1 -J 2 KHM with secondneighbor antiferromagnetic exchange J 2 48 , and other studies reinforce an enhanced QSL phase in this model 43,[49][50][51] . Direct evidence for Z 2 topological order is mixed: in support, a nearly quantized topological entanglement entropy was found in the J 1 -J 2 model 43 , but the expected four topological ground state sectors have not been seen in DMRG 52 .…”
Section: Introductionmentioning
confidence: 96%
“…Variational studies using projected fermionic parton wavefunctions favor a different, gapless Dirac state [45][46][47] . A bosonic parton wavefunction does, however, give a competitive energy for a Z 2 QSL state in the extended J 1 -J 2 KHM with secondneighbor antiferromagnetic exchange J 2 48 , and other studies reinforce an enhanced QSL phase in this model 43,[49][50][51] . Direct evidence for Z 2 topological order is mixed: in support, a nearly quantized topological entanglement entropy was found in the J 1 -J 2 model 43 , but the expected four topological ground state sectors have not been seen in DMRG 52 .…”
Section: Introductionmentioning
confidence: 96%
“…It might be the first manifestation of a truly two-dimensional resonating valence bond (RVB) spin liquid anticipated 41 years ago 5 and intensively discussed in the framework of high-temperature superconductivity in cuprates [6][7][8][9] . The possibility of an RVB spin liquid in the kagome lattice is presently supported by large-scale numerical investigations [10][11][12][13] .…”
mentioning
confidence: 96%
“…However, the precise phase boundary between the magnetically ordered phases and the disordered spin-liquid region at J 2 ≈ 0 has not been determined yet (see Ref. [50] for some interesting results obtained using the functional renormalization-group approach).…”
Section: Introductionmentioning
confidence: 99%