%0 Journal Article %1 PhysRevResearch.2.022005 %A Torres, Emilio %A Weber, Lukas %A Janssen, Lukas %A Wessel, Stefan %A Scherer, Michael M. %D 2020 %I American Physical Society %J Phys. Rev. Res. %K a %N 2 %P 022005 %R 10.1103/PhysRevResearch.2.022005 %T Emergent symmetries and coexisting orders in Dirac fermion systems %U https://link.aps.org/doi/10.1103/PhysRevResearch.2.022005 %V 2 %X We consider interacting (2+1)-dimensional Dirac fermions with competing symmetry-breaking electronic instabilities, as described by relativistic quantum field theories of the Gross-Neveu-Yukawa flavor with anticommuting mass terms. We demonstrate, using a combination of nonperturbative field-theoretical analysis and an adapted quantum Monte Carlo approach, that such systems exhibit a strong-coupling quantum multicritical fixed point with an emerging enhanced symmetry. Moreover, an extended phase coexistence regime expands out from this high-symmetry point. Our results disagree with recent results on the presence of a deconfined quantum criticality in (2+1)-dimensional Dirac fermions for the particular case of O(3) Néel and Z2 Kekulé symmetry-breaking instabilities on the graphene lattice. The robustness of these phenomena with respect to the microscopic symmetries furthermore demonstrates their relevance for a wide range of Dirac materials of current interest, from both theory and ongoing experiments.

@article{PhysRevResearch.2.022005, abstract = {We consider interacting (2+1)-dimensional Dirac fermions with competing symmetry-breaking electronic instabilities, as described by relativistic quantum field theories of the Gross-Neveu-Yukawa flavor with anticommuting mass terms. We demonstrate, using a combination of nonperturbative field-theoretical analysis and an adapted quantum Monte Carlo approach, that such systems exhibit a strong-coupling quantum multicritical fixed point with an emerging enhanced symmetry. Moreover, an extended phase coexistence regime expands out from this high-symmetry point. Our results disagree with recent results on the presence of a deconfined quantum criticality in (2+1)-dimensional Dirac fermions for the particular case of O(3) Néel and Z2 Kekulé symmetry-breaking instabilities on the graphene lattice. The robustness of these phenomena with respect to the microscopic symmetries furthermore demonstrates their relevance for a wide range of Dirac materials of current interest, from both theory and ongoing experiments.}, added-at = {2020-06-17T08:59:23.000+0200}, author = {Torres, Emilio and Weber, Lukas and Janssen, Lukas and Wessel, Stefan and Scherer, Michael M.}, biburl = {https://www.bibsonomy.org/bibtex/25fb86db7bfb5cb346664e9ce4983f698/ctqmat}, day = 08, description = {Phys. Rev. Research 2, 022005(R) (2020) - Emergent symmetries and coexisting orders in Dirac fermion systems}, doi = {10.1103/PhysRevResearch.2.022005}, interhash = {9d782f8c215d49570b4b2b77721e789f}, intrahash = {5fb86db7bfb5cb346664e9ce4983f698}, journal = {Phys. Rev. Res.}, keywords = {a}, month = {04}, number = 2, numpages = {6}, pages = 022005, publisher = {American Physical Society}, timestamp = {2023-10-18T15:41:33.000+0200}, title = {Emergent symmetries and coexisting orders in Dirac fermion systems}, url = {https://link.aps.org/doi/10.1103/PhysRevResearch.2.022005}, volume = 2, year = 2020 }