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PreprintCC BY 4.0arXiv

Evidence of valence bond solid and quantum paramagnetism in the J1--J2--J3 Heisenberg model from pseudofermion functional renormalization group

  • Gün Günal
  • Erhai Zhao
  • Ahmet Keleş
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Abstract

Motivated by recent tensor network studies reporting a quantum spin liquid (QSL) within the quantum paramagnetic (QP) regime, we investigate numerically the zero-temperature phase diagram of the J1--J2--J3 Heisenberg model on the square lattice using the pseudofermion functional renormalization group (pf-fRG). Thanks to improved frequency resolution and larger lattice truncations, we are able to explore a significantly larger parameter space than previous pf-fRG work to map out the phase boundary of an extended QP region. We further resolve possible bond order within the QP regime by measuring the dimer response to small deformations in J1, i.e. bond anisotropy that breaks the point-group symmetry of the Hamiltonian. The functional renormalization group flow of the dimer susceptibility suggests that the QP window splits into two: a region where it grows continuously down to the lowest energy scale to signal valence bond solid (VBS) order, and another region where it reaches a peak at a finite scale and is subsequently suppressed to indicate a QSL.

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Cite

BibTeXRIS
BibTeX
@misc{gunal2026evidence,
  title = {{Evidence of valence bond solid and quantum paramagnetism in the $J_1$--$J_2$--$J_3$ Heisenberg model from pseudofermion functional renormalization group}},
  author = {Gün Günal and Erhai Zhao and Ahmet Keleş},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.26135},
  eprint = {2610.26135},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26135},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Evidence of valence bond solid and quantum paramagnetism in the J_1--J_2--J_3 Heisenberg model from pseudofermion functional renormalization group
AU  - Gün Günal
AU  - Erhai Zhao
AU  - Ahmet Keleş
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.26135
UR  - https://arxiv.org/abs/2610.26135
AB  - Motivated by recent tensor network studies reporting a quantum spin liquid (QSL) within the quantum paramagnetic (QP) regime, we investigate numerically the zero-temperature phase diagram of the J_1--J_2--J_3 Heisenberg model on the square lattice using the pseudofermion functional renormalization group (pf-fRG). Thanks to improved frequency resolution and larger lattice truncations, we are able to explore a significantly larger parameter space than previous pf-fRG work to map out the phase boundary of an extended QP region. We further resolve possible bond order within the QP regime by measuring the dimer response to small deformations in J_1, i.e. bond anisotropy that breaks the point-group symmetry of the Hamiltonian. The functional renormalization group flow of the dimer susceptibility suggests that the QP window splits into two: a region where it grows continuously down to the lowest energy scale to signal valence bond solid (VBS) order, and another region where it reaches a peak at a finite scale and is subsequently suppressed to indicate a QSL.
ER  -