Publications

The research articles from our group can all be found on the arXiv.

Google Scholar

Title Cited by Year
Quantum multicriticality and emergent symmetry in Dirac systems with two order parameters at three-loop order
Max Uetrecht, Igor F. Herbut, Michael M. Scherer, Emmanuel Stamou, Tom Steudtner
arXiv preprint arXiv:2505.22723 , 2025
pdf 2025
Functional approach to superfluid stiffness: Role of quantum geometry in unconventional superconductivity
Maximilian Buthenhoff, Tobias Holder, Michael M. Scherer
arXiv preprint arXiv:2505.09249 , 2025
pdf 2025
Intertwined fluctuations and isotope effects in the Hubbard-Holstein model on the square lattice from functional renormalization
Aiman Al-Eryani, Sabine Andergassen, Michael M. Scherer
arXiv preprint arXiv:2504.10863 , 2025
pdf 2025
Gross-Neveu-XY quantum criticality in moiré Dirac materials
Bilal Hawashin, Michael M. Scherer, Lukas Janssen
Journal-ref: Phys. Rev. B 111, 205129 (2025)
pdf 2025
Relativistic Mott transitions, quantum criticality, and finite-temperature effects in tunable Dirac materials from functional renormalization
Mireia Tolosa-Simeón, Laura Classen, Michael M. Scherer
arXiv preprint arXiv:2503.04911 , 2025
pdf 2025
Competing phases in kagome magnet FeGe from functional renormalization
Pietro M. Bonetti, Yi Jiang, Haoyu Hu, Dumitru Călugăru, Michael M. Scherer, B. Andrei Bernevig, Laura Classen
arXiv preprint arXiv:2411.10931 , 2024
pdf 2024
UV complete local field theory of persistent symmetry breaking in 2+1 dimensions
Bilal Hawashin, Junchen Rong, Michael M. Scherer
Journal-ref: Phys. Rev. Lett. 134, 041602 (2025)
pdf 2024
Kohn-Luttinger-like mechanism for unconventional charge density waves
Hannes Braun, Michael M. Scherer, Laura Classen
arXiv preprint arXiv:2407.11621 , 2024
pdf 2024
The Nordic-walking mechanism and its explanation of deconfined pseudocriticality from Wess-Zumino-Witten theory
B Hawashin, A Eichhorn, L Janssen, MM Scherer, S Ray
arXiv preprint arXiv:2312.11614, 2023
2023
Single Boson Exchange fRG for Extended Hubbard Interactions
A Al-Eryani, M Scherer, S Andergassen
2023
Absence of SO (4) quantum criticality in Dirac semimetals at two-loop order
M Uetrecht, IF Herbut, E Stamou, MM Scherer
arXiv preprint arXiv:2308.12426, 2023
2023
Efficient fRG flow equations for extended interactions and an application to the square and triangular lattices
A Al-Eryani, S Heinzelmann, K Fraboulet, M Scherer, S Andergassen
2023
Analog of cosmological particle production in moir\'e Dirac materials
M Tolosa-Simeón, MM Scherer, S Floerchinger
arXiv preprint arXiv:2307.09299, 2023
2023
Deconfined quantum criticality lost
M Song, J Zhao, L Janssen, MM Scherer, ZY Meng
arXiv preprint arXiv:2307.02547, 2023
32023
Competition of density waves and superconductivity in twisted tungsten diselenide
L Klebl, A Fischer, L Classen, MM Scherer, DM Kennes
Physical Review Research 5 (1), L012034, 2023
92023
Competition of density waves and superconductivity in moiré transition metal dichalcogenide bilayers from functional renormalization
M Scherer, L Classen, D Kennes, N Gneist
Bulletin of the American Physical Society, 2023
2023
Spin-valley magnetism on the triangular moir\'e lattice with SU (4) breaking interactions
L Gresista, D Kiese, S Trebst, MM Scherer
arXiv preprint arXiv:2303.01244, 2023
12023
Recent developments in the functional renormalization group approach to correlated electron systems
C Honerkamp, DM Kennes, V Meden, MM Scherer, R Thomale
The European Physical Journal B 95 (12), 205, 2022
2022
Chiral superconductivity with enhanced quantized Hall responses in moiré transition metal dichalcogenides
MM Scherer, DM Kennes, L Classen
npj Quantum Materials 7 (1), 100, 2022
8*2022
Competing instabilities of the extended Hubbard model on the triangular lattice: Truncated-unity functional renormalization group and application to moiré materials
N Gneist, L Classen, MM Scherer
Physical Review B 106 (12), 125141, 2022
72022
SO (4) multicriticality of two-dimensional Dirac fermions
IF Herbut, MM Scherer
Physical Review B 106 (11), 115136, 2022
32022
Functional renormalization of spinless triangular-lattice fermions: N-patch vs. truncated-unity scheme
N Gneist, D Kiese, R Henkel, R Thomale, L Classen, MM Scherer
The European Physical Journal B 95 (9), 157, 2022
42022
Realization of nearly dispersionless bands with strong orbital anisotropy from destructive interference in twisted bilayer MoS2
L Xian, M Claassen, D Kiese, MM Scherer, S Trebst, DM Kennes, A Rubio
Nature communications 12 (1), 5644, 2021
782021
Universal principles of moiré band structures
J Attig, J Park, MM Scherer, S Trebst, A Altland, A Rosch
2D Materials 8 (4), 044007, 2021
52021
Constraints on discrete global symmetries in quantum gravity
P Ali, A Eichhorn, M Pauly, MM Scherer
Journal of High Energy Physics 2021 (5), 1-34, 2021
152021
Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order
S Ray, B Ihrig, D Kruti, JA Gracey, MM Scherer, L Janssen
Physical Review B 103 (15), 155160, 2021
122021
Graphene doping reaches new levels
MM Scherer
PHYSICS 50 (1), 42-42, 2021
2021
Competing orders at high-order Van Hove points: doped graphene
L Classen, A Chubukov, C Honerkamp, M Scherer
APS March Meeting Abstracts 2021, P57. 006, 2021
2021
Graphene doping reaches new levels
MM Scherer
Physics 13, 161, 2020
32020
Competing orders at higher-order Van Hove points
L Classen, AV Chubukov, C Honerkamp, MM Scherer
Physical Review B 102 (12), 125141, 2020
642020
Confinement transition in the -Gross-Neveu-XY universality class
L Janssen, W Wang, MM Scherer, ZY Meng, XY Xu
Physical Review B 101 (23), 235118, 2020
242020
Emergent symmetries and coexisting orders in Dirac fermion systems
E Torres, L Weber, L Janssen, S Wessel, MM Scherer
Physical Review Research 2 (2), 022005, 2020
142020
Emergence and stability of spin-valley entangled quantum liquids in moiré heterostructures
D Kiese, FL Buessen, C Hickey, S Trebst, MM Scherer
Physical Review Research 2 (1), 013370, 2020
262020
Mass hierarchy in collective modes of pair-density-wave superconductors
SK Jian, MM Scherer, H Yao
Physical Review Research 2 (1), 013034, 2020
122020
Abelian Higgs model at four loops, fixed-point collision, and deconfined criticality
B Ihrig, N Zerf, P Marquard, IF Herbut, MM Scherer
Physical Review B 100 (13), 134507, 2019
552019
Cluster functional renormalization group and absence of a bilinear spin liquid in the Heisenberg model
D Roscher, N Gneist, MM Scherer, S Trebst, S Diehl
Physical Review B 100 (12), 125130, 2019
202019
Competing phases of interacting electrons on triangular lattices in moiré heterostructures
L Classen, C Honerkamp, MM Scherer
Physical Review B 99 (19), 195120, 2019
802019
Deconfined criticality from the QED3-Gross-Neveu model
L Janssen, B Ihrig, MM Scherer, LN Mihaila
Verhandlungen der Deutschen Physikalischen Gesellschaft, 2019
2019
Competing orders in honeycomb Hubbard models with nonlocal Coulomb interactions: a functional renormalization group approach
D Sánchez de la Peña
Dissertation, RWTH Aachen University, 2018, 2019
2019
Excitonic instability and unconventional pairing in the nodal-line materials ZrSiS and ZrSiSe
MM Scherer, C Honerkamp, AN Rudenko, EA Stepanov, AI Lichtenstein, ...
Physical Review B 98 (24), 241112, 2018
182018
Deconfined criticality from the -Gross-Neveu model at three loops
B Ihrig, L Janssen, LN Mihaila, MM Scherer
Physical Review B 98 (11), 115163, 2018
312018
Critical behavior of Dirac fermions from perturbative renormalization
B Ihrig, LN Mihaila, MM Scherer
Physical Review B 98 (12), 125109, 2018
702018
Bond-ordered states and -wave pairing of spinless fermions on the honeycomb lattice
S Hesselmann, DD Scherer, MM Scherer, S Wessel
Physical Review B 98 (4), 045142, 2018
122018
Probing baryogenesis through the Higgs boson self-coupling
M Reichert, A Eichhorn, H Gies, JM Pawlowski, T Plehn, MM Scherer
Physical Review D 97 (7), 075008, 2018
592018
Fermion-induced quantum criticality with two length scales in Dirac systems
E Torres, L Classen, IF Herbut, MM Scherer
Physical Review B 97 (12), 125137, 2018
432018
Functional renormalization group approach to Heisenberg models: Momentum-space renormalization group for the large- limit
D Roscher, FL Buessen, MM Scherer, S Trebst, S Diehl
Physical Review B 97 (6), 064416, 2018
262018
Compatible orders and fermion-induced emergent symmetry in Dirac systems
L Janssen, IF Herbut, MM Scherer
Physical Review B 97 (4), 041117, 2018
322018
Antiferromagnetism and Competing Charge Instabilities of Electrons in Strained Graphene from Coulomb Interactions
D Sanchez de La Pena, J Lichtenstein, C Honerkamp, M Scherer
APS March Meeting Abstracts 2018, K40. 005, 2018
2018
Gross-Neveu-Yukawa models at four loops and quantum critical behavior of Dirac systems
M Scherer, N Zerf, L Mihaila, P Marquard, I Herbut, B Ihrig
APS March Meeting Abstracts 2018, R44. 012, 2018
2018
Functional renormalization group analysis of spinless fermions on the honeycomb lattice beyond half filling
S Hesselmann, DD Scherer, M Scherer, S Wessel
APS March Meeting Abstracts 2018, K44. 010, 2018
2018
Antiferromagnetism and competing charge instabilities of electrons in strained graphene from Coulomb interactions
DS de la Peña, J Lichtenstein, C Honerkamp, MM Scherer
Physical Review B 96 (20), 205155, 2017
242017
Four-loop critical exponents for the Gross-Neveu-Yukawa models
N Zerf, LN Mihaila, P Marquard, IF Herbut, MM Scherer
Physical Review D 96 (9), 096010, 2017
1502017
Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems
LN Mihaila, N Zerf, B Ihrig, IF Herbut, MM Scherer
Physical Review B 96 (16), 165133, 2017
792017
Fluctuation-induced continuous transition and quantum criticality in Dirac semimetals
L Classen, IF Herbut, MM Scherer
Physical Review B 96 (11), 115132, 2017
642017
Physics and the choice of regulators in functional renormalisation group flows
JM Pawlowski, MM Scherer, R Schmidt, SJ Wetzel
Annals of Physics 384, 165-197, 2017
672017
Interaction-driven ground states in strained graphene from functional renormalization
M Scherer, D Sanchez de La Pena, J Lichtenstein, C Honerkamp
APS March Meeting Abstracts 2017, Y7. 002, 2017
2017
Kekule quantum criticality from Dirac fermion fluctuations: a functional RG approach
L Classen, M Scherer, I Herbut
APS March Meeting Abstracts 2017, B20. 013, 2017
2017
Introduction to Renormalization
MM Scherer
Lecture notes, 2017
22017
Gauge-field-assisted Kekulé quantum criticality
MM Scherer, IF Herbut
Physical Review B 94 (20), 205136, 2016
492016
Electronic instabilities of the extended Hubbard model on the honeycomb lattice from functional renormalization
Y Volpez, DD Scherer, MM Scherer
Physical Review B 94 (16), 165107, 2016
242016
Critical models above four dimensions: Small- solutions and stability
A Eichhorn, L Janssen, MM Scherer
Physical Review D 93 (12), 125021, 2016
352016
Competition of density waves and quantum multicritical behavior in Dirac materials from functional renormalization
L Classen, IF Herbut, L Janssen, MM Scherer
Physical Review B 93 (12), 125119, 2016
422016
Functional renormalization and mean-field approach to multiband systems with spin-orbit coupling: Application to the Rashba model with attractive interaction
GAH Schober, KU Giering, MM Scherer, C Honerkamp, M Salmhofer
Physical Review B 93 (11), 115111, 2016
172016
Discovering and quantifying nontrivial fixed points in multi-field models
A Eichhorn, T Helfer, D Mesterhazy, MM Scherer
The European Physical Journal C 76, 1-10, 2016
112016
The phase diagram of QC2D from functional methods
N Khan, JM Pawlowski, F Rennecke, MM Scherer
arXiv preprint arXiv:1512.03673, 2015
132015
Tight-binding Rashba model and statistical field theory
GAH Schober, KU Giering, MM Scherer, C Honerkamp, M Salmhofer
arXiv preprint arXiv:1511.03047, 2015
2015
Correlated spinless fermions on the honeycomb lattice revisited
DD Scherer, MM Scherer, C Honerkamp
Physical Review B 92 (15), 155137, 2015
572015
Mott multicriticality of Dirac electrons in graphene
L Classen, IF Herbut, L Janssen, MM Scherer
Physical Review B 92 (3), 035429, 2015
382015
The Higgs mass and the scale of new physics
A Eichhorn, H Gies, J Jaeckel, T Plehn, MM Scherer, R Sondenheimer
Journal of High Energy Physics 2015 (4), 1-43, 2015
992015
Ground-state phase diagram of the half-filled bilayer Hubbard model
M Golor, T Reckling, L Classen, MM Scherer, S Wessel
Physical Review B 90 (19), 195131, 2014
312014
Electronic instabilities of the AA‐honeycomb bilayer
DS de la Peña, MM Scherer, C Honerkamp
Annalen der Physik 526 (9-10), 366-371, 2014
242014
Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model
DD Scherer, MM Scherer, G Khaliullin, C Honerkamp, B Rosenow
Physical Review B 90 (4), 045135, 2014
432014
Instabilities on graphene's honeycomb lattice with electron-phonon interactions
L Classen, MM Scherer, C Honerkamp
Physical Review B 90 (3), 035122, 2014
372014
The Planck scale, the Higgs mass and scalar dark matter
A Eichhorn, MM Scherer
Physical Review D 90, 025023, 2014
542014
Electronic instabilities of the AA-honeycomb bilayer
D Sanchez de La Pena, MM Scherer, C Honerkamp
APS March Meeting Abstracts 2014, A46. 008, 2014
2014
An asymptotic safety scenario for gauged chiral Higgs–Yukawa models
H Gies, S Rechenberger, MM Scherer, L Zambelli
The European Physical Journal C 73, 1-26, 2013
582013
Multicritical behavior in models with two competing order parameters
A Eichhorn, D Mesterházy, MM Scherer
Physical Review E 88 (4), 042141, 2013
69*2013
Correlated Dirac particles and superconductivity on the honeycomb lattice
W Wu, MM Scherer, C Honerkamp, K Le Hur
Physical Review B 87 (9), 094521, 2013
612013
Interacting electrons on trilayer honeycomb lattices
MM Scherer, S Uebelacker, DD Scherer, C Honerkamp
Physical Review B 86 (15), 155415, 2012
622012
Antiferromagnetism in the Hubbard model on the Bernal-stacked honeycomb bilayer
TC Lang, ZY Meng, MM Scherer, S Uebelacker, FF Assaad, A Muramatsu, ...
Physical Review Letters 109 (12), 126402, 2012
832012
Instabilities of interacting electrons on the honeycomb bilayer
MM Scherer, S Uebelacker, C Honerkamp
Physical Review B 85 (23), 235408, 2012
902012
Finite-size and particle-number effects in an ultracold Fermi gas at unitarity
J Braun, S Diehl, MM Scherer
Physical Review A 84 (6), 063616, 2011
172011
Functional renormalization for the Bardeen–Cooper–Schrieffer to Bose–Einstein condensation crossover
MM Scherer, S Floerchinger, H Gies
Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2011
37*2011
Effective and fundamental quantum fields at criticality
M Scherer
22010
Modified Fermi sphere, pairing gap, and critical temperature for the BCS-BEC crossover
S Floerchinger, MM Scherer, C Wetterich
Physical Review A 81 (6), 063619, 2010
432010
Towards an asymptotic-safety scenario for chiral Yukawa systems
H Gies, S Rechenberger, MM Scherer
The European Physical Journal C 66, 403-418, 2010
762010
Asymptotic safety of simple Yukawa systems
H Gies, MM Scherer
The European Physical Journal C 66, 387-402, 2010
812010
Phase transition and critical behavior of d= 3 chiral fermion models with left-right asymmetry
H Gies, L Janssen, S Rechenberger, MM Scherer
Physical Review D 81 (2), 025009, 2010
412010
Asymptotically free scalar curvature-ghost coupling in Quantum Einstein Gravity
A Eichhorn, H Gies, MM Scherer
Physical Review D 80 (10), 104003, 2009
1192009
An asymptotic-safety mechanism for chiral Yukawa systems
MM Scherer, H Gies, S Rechenberger
arXiv preprint arXiv:0910.0395, 2009
212009
Asymptotic Safety of simple Yukawa systems
M Scherer
2009
Particle-hole fluctuations in BCS-BEC crossover
S Floerchinger, M Scherer, S Diehl, C Wetterich
Physical Review B 78 (17), 174528, 2008
812008
Three-body scattering from nonperturbative flow equations
S Diehl, HC Krahl, M Scherer
Physical Review C 78 (3), 034001, 2008
552008
Graphene Doping Reaches New Levels 19 Oct Graphene Doping Reaches New Levels
MM Scherer
The role of fluctuations in the phase diagram of two color QCD
N Khan, J Pawlowski, F Rennecke, M Scherer

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