Fluctuation-induced continuous transition and quantum criticality in Dirac semimetals

Classen, Laura; Herbut, Igor F.; Scherer, Michael M.

doi:10.1103/PhysRevB.96.115132

Title: Fluctuation-induced continuous transition and quantum criticality in Dirac semimetals

Journal Article · Wed Sep 20 00:00:00 EDT 2017 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.96.115132· OSTI ID:1412714

Classen, Laura ^[1]; Herbut, Igor F. ^[2]; Scherer, Michael M. ^[3]

Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Division
Simon Fraser Univ., Burnaby, BC (Canada). Dept. of Physics
Univ. of Cologne (Germany). Inst. for Theoretical Physics

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States); Simon Fraser Univ., Burnaby, BC (Canada); Univ. of Cologne (Germany)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); Natural Sciences and Engineering Research Council of Canada (NSERC); German Research Foundation (DFG)

Grant/Contract Number:: SC0012704; SFB 1238, TP C04

OSTI ID:: 1412714

Alternate ID(s):: OSTI ID: 1393285; OSTI ID: 1466622

Report Number(s):: BNL-114536-2017-JA; BNL-207977-2018-JAAM; R&D Project: PO015; KC0202030; TRN: US1800331

Journal Information:: Physical Review B, Vol. 96, Issue 11; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 46 works

Citation information provided by
Web of Science

References (105)

Competing electronic instabilities of extended Hubbard models on the honeycomb lattice: A functional renormalization group calculation with high-wave-vector resolution de la Peña, D. Sánchez; Lichtenstein, J.; Honerkamp, C. Physical Review B, Vol. 95, Issue 8 https://doi.org/10.1103/PhysRevB.95.085143	journal	February 2017
Dirac materials Wehling, T. O.; Black-Schaffer, A. M.; Balatsky, A. V. Advances in Physics, Vol. 63, Issue 1 https://doi.org/10.1080/00018732.2014.927109	journal	January 2014
Topological insulators and superconductors Qi, Xiao-Liang; Zhang, Shou-Cheng Reviews of Modern Physics, Vol. 83, Issue 4 https://doi.org/10.1103/RevModPhys.83.1057	journal	October 2011
Electron Fractionalization in Two-Dimensional Graphenelike Structures Hou, Chang-Yu; Chamon, Claudio; Mudry, Christopher Physical Review Letters, Vol. 98, Issue 18 https://doi.org/10.1103/PhysRevLett.98.186809	journal	May 2007
Condensed-Matter Simulation of a Three-Dimensional Anomaly Semenoff, Gordon W. Physical Review Letters, Vol. 53, Issue 26 https://doi.org/10.1103/PhysRevLett.53.2449	journal	December 1984
Electronic instabilities of the extended Hubbard model on the honeycomb lattice from functional renormalization Volpez, Yanick; Scherer, Daniel D.; Scherer, Michael M. Physical Review B, Vol. 94, Issue 16 https://doi.org/10.1103/PhysRevB.94.165107	journal	October 2016
Investigation of the Potts Model Using Renormalization-Group Techniques Golner, Geoffrey R. Physical Review B, Vol. 8, Issue 7 https://doi.org/10.1103/PhysRevB.8.3419	journal	October 1973
Corrections to Scaling Laws Wegner, Franz J. Physical Review B, Vol. 5, Issue 11 https://doi.org/10.1103/PhysRevB.5.4529	journal	June 1972
Critical $O (N)$ models above four dimensions: Small- $N$ solutions and stability Eichhorn, Astrid; Janssen, Lukas; Scherer, Michael M. Physical Review D, Vol. 93, Issue 12 https://doi.org/10.1103/PhysRevD.93.125021	journal	June 2016
Potts model at the critical temperature Baxter, R. J. Journal of Physics C: Solid State Physics, Vol. 6, Issue 23 https://doi.org/10.1088/0022-3719/6/23/005	journal	November 1973
Critical Exponents of the Gross-Neveu Model from the Effective Average Action Rosa, L.; Vitale, P.; Wetterich, C. Physical Review Letters, Vol. 86, Issue 6 https://doi.org/10.1103/PhysRevLett.86.958	journal	February 2001
Universal Quantum Criticality in the Metal-Insulator Transition of Two-Dimensional Interacting Dirac Electrons Otsuka, Yuichi; Yunoki, Seiji; Sorella, Sandro Physical Review X, Vol. 6, Issue 1 https://doi.org/10.1103/PhysRevX.6.011029	journal	March 2016
Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice Mesterházy, D.; Berges, J.; von Smekal, L. Physical Review B, Vol. 86, Issue 24 https://doi.org/10.1103/PhysRevB.86.245431	journal	December 2012
Optimisation of the exact renormalisation group Litim, Daniel F. Physics Letters B, Vol. 486, Issue 1-2 https://doi.org/10.1016/S0370-2693(00)00748-6	journal	July 2000
Spectator interactions and factorization in decay Beneke, M.; Feldmann, T. The European Physical Journal C - Particles and Fields, Vol. -1, Issue 1 https://doi.org/10.1140/epjcd/s2003-03-0121-6	journal	July 2003
Functional renormalization group approach to correlated fermion systems Metzner, Walter; Salmhofer, Manfred; Honerkamp, Carsten Reviews of Modern Physics, Vol. 84, Issue 1 https://doi.org/10.1103/RevModPhys.84.299	journal	March 2012
Relevance of the fixed dimension perturbative approach to frustrated magnets in two and three dimensions Delamotte, B.; Dudka, M.; Holovatch, Yu. Physical Review B, Vol. 82, Issue 10 https://doi.org/10.1103/PhysRevB.82.104432	journal	September 2010
Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm Senthil, T.; Balents, Leon; Sachdev, Subir Physical Review B, Vol. 70, Issue 14 https://doi.org/10.1103/PhysRevB.70.144407	journal	October 2004
Frustrated Heisenberg Magnets: A Nonperturbative Approach Tissier, M.; Delamotte, B.; Mouhanna, D. Physical Review Letters, Vol. 84, Issue 22 https://doi.org/10.1103/PhysRevLett.84.5208	journal	May 2000
Turning a First Order Quantum Phase Transition Continuous by Fluctuations: General Flow Equations and Application to $d$ -Wave Pomeranchuk Instability Jakubczyk, P.; Metzner, W.; Yamase, H. Physical Review Letters, Vol. 103, Issue 22 https://doi.org/10.1103/PhysRevLett.103.220602	journal	November 2009
Designer Dirac fermions and topological phases in molecular graphene Gomes, Kenjiro K.; Mar, Warren; Ko, Wonhee Nature, Vol. 483, Issue 7389 https://doi.org/10.1038/nature10941	journal	March 2012
Introduction to the Functional RG and Applications to Gauge Theories Gies, Holger Renormalization Group and Effective Field Theory Approaches to Many-Body Systems https://doi.org/10.1007/978-3-642-27320-9_6	book	January 2012
Dirac Fermions in Solids: From High-T _c Cuprates and Graphene to Topological Insulators and Weyl Semimetals Vafek, Oskar; Vishwanath, Ashvin Annual Review of Condensed Matter Physics, Vol. 5, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031113-133841	journal	March 2014
Unconventional superconductivity on honeycomb lattice: Theory of Kekule order parameter Roy, Bitan; Herbut, Igor F. Physical Review B, Vol. 82, Issue 3 https://doi.org/10.1103/PhysRevB.82.035429	journal	July 2010
Competition of density waves and quantum multicritical behavior in Dirac materials from functional renormalization Classen, Laura; Herbut, Igor F.; Janssen, Lukas Physical Review B, Vol. 93, Issue 12 https://doi.org/10.1103/PhysRevB.93.125119	journal	March 2016
Theory of interacting electrons on the honeycomb lattice Herbut, Igor F.; Juričić, Vladimir; Roy, Bitan Physical Review B, Vol. 79, Issue 8 https://doi.org/10.1103/PhysRevB.79.085116	journal	February 2009
Fermionic quantum criticality in honeycomb and $π$ -flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo Parisen Toldin, Francesco; Hohenadler, Martin; Assaad, Fakher F. Physical Review B, Vol. 91, Issue 16 https://doi.org/10.1103/PhysRevB.91.165108	journal	April 2015
The electronic properties of graphene Castro Neto, A. H.; Guinea, F.; Peres, N. M. R. Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162 https://doi.org/10.1103/RevModPhys.81.109	journal	January 2009
Colloquium: Order and quantum phase transitions in the cuprate superconductors Sachdev, Subir Reviews of Modern Physics, Vol. 75, Issue 3 https://doi.org/10.1103/RevModPhys.75.913	journal	July 2003
Quark confinement from colour confinement Braun, Jens; Gies, Holger; Pawlowski, Jan M. Physics Letters B, Vol. 684, Issue 4-5 https://doi.org/10.1016/j.physletb.2010.01.009	journal	February 2010
Quantum Phase Transitions Sachdev, Subir https://doi.org/10.1017/CBO9780511973765	book	January 2011
Instabilities on graphene's honeycomb lattice with electron-phonon interactions Classen, Laura; Scherer, Michael M.; Honerkamp, Carsten Physical Review B, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevB.90.035122	journal	July 2014
Erratum: Quantum superconducting criticality in graphene and topological insulators [Phys. Rev. B 87 , 041401(R) (2013)] Roy, Bitan; Juričić, Vladimir; Herbut, Igor F. Physical Review B, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevB.94.119901	journal	September 2016
Fermion interactions and universal behavior in strongly interacting theories Braun, Jens Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 3 https://doi.org/10.1088/0954-3899/39/3/033001	journal	January 2012
Emergence of supersymmetry at a critical point of a lattice model Lee, Sung-Sik Physical Review B, Vol. 76, Issue 7 https://doi.org/10.1103/PhysRevB.76.075103	journal	August 2007
Two-dimensional gas of massless Dirac fermions in graphene Novoselov, K. S.; Geim, A. K.; Morozov, S. V. Nature, Vol. 438, Issue 7065, p. 197-200 https://doi.org/10.1038/nature04233	journal	November 2005
Emergent Lorentz symmetry near fermionic quantum critical points in two and three dimensions Roy, Bitan; Juričić, Vladimir; Herbut, Igor F. Journal of High Energy Physics, Vol. 2016, Issue 4 https://doi.org/10.1007/JHEP04(2016)018	journal	April 2016
Antiferromagnetic critical point on graphene's honeycomb lattice: A functional renormalization group approach Janssen, Lukas; Herbut, Igor F. Physical Review B, Vol. 89, Issue 20 https://doi.org/10.1103/PhysRevB.89.205403	journal	May 2014
Chiral phase transitions in d = 3 and renormalizability of four-Fermi interactions Gat, G.; Kovner, A.; Rosenstein, B. Nuclear Physics B, Vol. 385, Issue 1-2 https://doi.org/10.1016/0550-3213(92)90095-S	journal	October 1992
Fermion-induced quantum critical points Li, Zi-Xiang; Jiang, Yi-Fan; Jian, Shao-Kai Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-00167-6	journal	August 2017
Topological Mott Insulators Raghu, S.; Qi, Xiao-Liang; Honerkamp, C. Physical Review Letters, Vol. 100, Issue 15 https://doi.org/10.1103/PhysRevLett.100.156401	journal	April 2008
Quantum superconducting criticality in graphene and topological insulators Roy, Bitan; Juričić, Vladimir; Herbut, Igor F. Physical Review B, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevB.87.041401	journal	January 2013
Critical exponents of new universality classes Rosenstein, B.; Kovner, A. Physics Letters B, Vol. 314, Issue 3-4 https://doi.org/10.1016/0370-2693(93)91253-J	journal	September 1993
Aspects of the functional renormalisation group Pawlowski, Jan M. Annals of Physics, Vol. 322, Issue 12 https://doi.org/10.1016/j.aop.2007.01.007	journal	December 2007
Renormalization Group Equation for Critical Phenomena Wegner, Franz J.; Houghton, Anthony Physical Review A, Vol. 8, Issue 1 https://doi.org/10.1103/PhysRevA.8.401	journal	July 1973
Semi-Metal-Insulator Transition of the Hubbard Model in the Honeycomb Lattice Sorella, S.; Tosatti, E. Europhysics Letters (EPL), Vol. 19, Issue 8 https://doi.org/10.1209/0295-5075/19/8/007	journal	August 1992
Interaction-driven instabilities of a Dirac semimetal Weeks, C.; Franz, M. Physical Review B, Vol. 81, Issue 8 https://doi.org/10.1103/PhysRevB.81.085105	journal	February 2010
Density Waves and Cooper Pairing on the Honeycomb Lattice Honerkamp, Carsten Physical Review Letters, Vol. 100, Issue 14 https://doi.org/10.1103/PhysRevLett.100.146404	journal	April 2008
Supergauge transformations in four dimensions Wess, J.; Zumino, B. Nuclear Physics B, Vol. 70, Issue 1 https://doi.org/10.1016/0550-3213(74)90355-1	journal	February 1974
Masses in graphenelike two-dimensional electronic systems: Topological defects in order parameters and their fractional exchange statistics Ryu, Shinsei; Mudry, Christopher; Hou, Chang-Yu Physical Review B, Vol. 80, Issue 20 https://doi.org/10.1103/PhysRevB.80.205319	journal	November 2009
Colloquium: Topological insulators Hasan, M. Z.; Kane, C. L. Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067 https://doi.org/10.1103/RevModPhys.82.3045	journal	November 2010
Imaging chiral symmetry breaking from Kekulé bond order in graphene Gutiérrez, Christopher; Kim, Cheol-Joo; Brown, Lola Nature Physics, Vol. 12, Issue 10 https://doi.org/10.1038/nphys3776	journal	May 2016
Interactions and Phase Transitions on Graphene’s Honeycomb Lattice Herbut, Igor F. Physical Review Letters, Vol. 97, Issue 14 https://doi.org/10.1103/PhysRevLett.97.146401	journal	October 2006
What can be learnt from the nonperturbative renormalization group? Delamotte, B.; Canet, L. Condensed Matter Physics, Vol. 8, Issue 1 https://doi.org/10.5488/CMP.8.1.163	journal	January 2005
The phase diagram of the quark–meson model Schaefer, B. -J.; Wambach, J. Nuclear Physics A, Vol. 757, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2005.04.012	journal	August 2005
Gauge-field-assisted Kekulé quantum criticality Scherer, Michael M.; Herbut, Igor F. Physical Review B, Vol. 94, Issue 20 https://doi.org/10.1103/PhysRevB.94.205136	journal	November 2016
Phase transition and critical behavior of $d = 3$ chiral fermion models with left-right asymmetry Gies, Holger; Janssen, Lukas; Rechenberger, Stefan Physical Review D, Vol. 81, Issue 2 https://doi.org/10.1103/PhysRevD.81.025009	journal	January 2010
Critical exponents of the N -vector model Guida, R.; Zinn-Justin, J. Journal of Physics A: Mathematical and General, Vol. 31, Issue 40 https://doi.org/10.1088/0305-4470/31/40/006	journal	October 1998
Critical exponents from optimised renormalisation group flows Litim, Daniel F. Nuclear Physics B, Vol. 631, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)00186-4	journal	June 2002
The Potts model Wu, F. Y. Reviews of Modern Physics, Vol. 54, Issue 1 https://doi.org/10.1103/RevModPhys.54.235	journal	January 1982
Critical Exponents in 3.99 Dimensions Wilson, Kenneth G.; Fisher, Michael E. Physical Review Letters, Vol. 28, Issue 4 https://doi.org/10.1103/PhysRevLett.28.240	journal	January 1972
The rise of graphene Geim, A. K.; Novoselov, K. S. Nature Materials, Vol. 6, Issue 3, p. 183-191 https://doi.org/10.1038/nmat1849	journal	March 2007
Optimized renormalization group flows Litim, Daniel F. Physical Review D, Vol. 64, Issue 10 https://doi.org/10.1103/PhysRevD.64.105007	journal	October 2001
Deconfined Quantum Critical Points Senthil, T. Science, Vol. 303, Issue 5663 https://doi.org/10.1126/science.1091806	journal	March 2004
Mind the gap Litim, Daniel F. International Journal of Modern Physics A, Vol. 16, Issue 11 https://doi.org/10.1142/S0217751X01004748	journal	April 2001
Critical behavior of the ( $2 + 1$ )-dimensional Thirring model Janssen, Lukas; Gies, Holger Physical Review D, Vol. 86, Issue 10 https://doi.org/10.1103/PhysRevD.86.105007	journal	November 2012
Critical Exponents Can Be Different on the Two Sides of a Transition: A Generic Mechanism Léonard, F.; Delamotte, B. Physical Review Letters, Vol. 115, Issue 20 https://doi.org/10.1103/PhysRevLett.115.200601	journal	November 2015
The renormalization group and the ε expansion Wilson, K. Physics Reports, Vol. 12, Issue 2 https://doi.org/10.1016/0370-1573(74)90023-4	journal	August 1974
Bootstrapping the Three Dimensional Supersymmetric Ising Model Bobev, Nikolay; El-Showk, Sheer; Mazáč, Dalimil Physical Review Letters, Vol. 115, Issue 5 https://doi.org/10.1103/PhysRevLett.115.051601	journal	July 2015
Non-perturbative renormalization flow in quantum field theory and statistical physics Berges, Jürgen; Tetradis, Nikolaos; Wetterich, Christof Physics Reports, Vol. 363, Issue 4-6 https://doi.org/10.1016/S0370-1573(01)00098-9	journal	June 2002
Exact evolution equation for the effective potential Wetterich, Christof Physics Letters B, Vol. 301, Issue 1 https://doi.org/10.1016/0370-2693(93)90726-X	journal	February 1993
The rise of graphene Rodgers, Peter; Geim, A. K.; Novoselov, K. S. Nanoscience and Technology: A Collection of Reviews from Nature Journals, p. 11-19 https://doi.org/10.1142/9789814287005_0002	book	August 2009
An Information Theory-Inspired Strategy for Design of Re-programmable Encrypted Graphene-based Coding Metasurfaces at Terahertz Frequencies Momeni, Ali; Rouhi, Kasra; Rajabalipanah, Hamid Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-24553-2	journal	April 2018
Higher order quark-mesonic scattering processes and the phase structure of QCD Pawlowski, J. M.; Rennecke, F. GSI Helmholtzzentrum fuer Schwerionenforschung, Darmstadt https://doi.org/10.15120/gr-2014-1-theory-12	text	January 2014
Quark Confinement from Color Confinement Braun, Jens; Gies, Holger; Pawlowski, Jan M. arXiv https://doi.org/10.48550/arxiv.0708.2413	text	January 2007
The electronic properties of graphene Neto, A. H. Castro; Guinea, F.; Peres, N. M. R. arXiv https://doi.org/10.48550/arxiv.0709.1163	text	January 2007
Density waves and Cooper pairing on the honeycomb lattice Honerkamp, Carsten arXiv https://doi.org/10.48550/arxiv.0711.1259	text	January 2007
Theory of interacting electrons on the honeycomb lattice Herbut, Igor F.; Juricic, Vladimir; Roy, Bitan arXiv https://doi.org/10.48550/arxiv.0811.0610	text	January 2008
Turning a First Order Quantum Phase Transition Continuous by Fluctuations: General Flow Equations and Application to d-Wave Pomeranchuk Instability Jakubczyk, P.; Metzner, W.; Yamase, H. arXiv https://doi.org/10.48550/arxiv.0908.2620	text	January 2009
Masses in graphene-like two-dimensional electronic systems: topological defects in order parameters and their fractional exchange statistics Ryu, Shinsei; Mudry, Christopher; Hou, Chang-Yu arXiv https://doi.org/10.48550/arxiv.0908.3054	text	January 2009
About the relevance of the fixed dimension perturbative approach to frustrated magnets in two and three dimensions Delamotte, B.; Dudka, M.; Holovatch, Yu. arXiv https://doi.org/10.48550/arxiv.1009.1492	text	January 2010
Fermion Interactions and Universal Behavior in Strongly Interacting Theories Braun, Jens arXiv https://doi.org/10.48550/arxiv.1108.4449	text	January 2011
Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice Mesterházy, D.; Berges, J.; von Smekal, L. arXiv https://doi.org/10.48550/arxiv.1207.4054	text	January 2012
Quantum superconducting criticality in graphene and topological insulators Roy, Bitan; Juricic, Vladimir; Herbut, Igor F. arXiv https://doi.org/10.48550/arxiv.1210.3576	text	January 2012
Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals Vafek, Oskar; Vishwanath, Ashvin arXiv https://doi.org/10.48550/arxiv.1306.2272	text	January 2013
Antiferromagnetic critical point on graphene's honeycomb lattice: A functional renormalization group approach Janssen, Lukas; Herbut, Igor F. arXiv https://doi.org/10.48550/arxiv.1402.6277	text	January 2014
Higher order quark-mesonic scattering processes and the phase structure of QCD Pawlowski, Jan M.; Rennecke, Fabian arXiv https://doi.org/10.48550/arxiv.1403.1179	text	January 2014
Dirac materials Wehling, T. O.; Black-Schaffer, A. M.; Balatsky, A. V. arXiv https://doi.org/10.48550/arxiv.1405.5774	text	January 2014
Fermionic quantum criticality in honeycomb and $π$-flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo Toldin, Francesco Parisen; Hohenadler, Martin; Assaad, Fakher F. arXiv https://doi.org/10.48550/arxiv.1411.2502	text	January 2014
Bootstrapping the Three-Dimensional Supersymmetric Ising Model Bobev, Nikolay; El-Showk, Sheer; Mazac, Dalimil arXiv https://doi.org/10.48550/arxiv.1502.04124	text	January 2015
Critical exponents can be different on the two sides of a transition: A generic mechanism Léonard, Frédéric; Delamotte, Bertrand arXiv https://doi.org/10.48550/arxiv.1508.07852	text	January 2015
Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons Otsuka, Yuichi; Yunoki, Seiji; Sorella, Sandro arXiv https://doi.org/10.48550/arxiv.1510.08593	text	January 2015
Competition of density waves and quantum multicritical behavior in Dirac materials from functional renormalization Classen, Laura; Herbut, Igor F.; Janssen, Lukas arXiv https://doi.org/10.48550/arxiv.1510.09003	text	January 2015
Fermion-induced quantum critical points Li, Zi-Xiang; Jiang, Yi-Fan; Jian, Shao-Kai arXiv https://doi.org/10.48550/arxiv.1512.07908	text	January 2015
Competing electronic instabilities of extended Hubbard models on the honeycomb lattice: A functional Renormalization Group calculation with high wavevector resolution de la Peña, D. Sánchez; Lichtenstein, J.; Honerkamp, C. arXiv https://doi.org/10.48550/arxiv.1606.01124	text	January 2016
Exact evolution equation for the effective potential Wetterich, Christof arXiv https://doi.org/10.48550/arxiv.1710.05815	text	January 2017
Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm Senthil, T.; Balents, Leon; Sachdev, Subir arXiv https://doi.org/10.48550/arxiv.cond-mat/0312617	text	January 2003
What can be learnt from the nonperturbative renormalization group? Delamotte, B.; Canet, L. arXiv https://doi.org/10.48550/arxiv.cond-mat/0412205	text	January 2004
Electron fractionalization in two-dimensional graphenelike structures Hou, Chang-Yu; Chamon, Claudio; Mudry, Christopher arXiv https://doi.org/10.48550/arxiv.cond-mat/0609740	text	January 2006
Emergence of supersymmetry at a critical point of a lattice model Lee, Sung-Sik arXiv https://doi.org/10.48550/arxiv.cond-mat/0611658	text	January 2006
Critical Exponents of the N-vector model Guida, Riccardo; Zinn-Justin, Jean arXiv https://doi.org/10.48550/arxiv.cond-mat/9803240	text	January 1998
Critical exponents of the Gross-Neveu model from the effective average action Rosa, L.; Vitale, P.; Wetterich, C. arXiv https://doi.org/10.48550/arxiv.hep-th/0007093	text	January 2000
Optimised Renormalisation Group Flows Litim, Daniel F. arXiv https://doi.org/10.48550/arxiv.hep-th/0103195	text	January 2001
Critical exponents from optimised renormalisation group flows Litim, Daniel F. arXiv https://doi.org/10.48550/arxiv.hep-th/0203006	text	January 2002
Aspects of the Functional Renormalisation Group Pawlowski, Jan M. arXiv https://doi.org/10.48550/arxiv.hep-th/0512261	text	January 2005

Cited By (19)

Fermion-induced quantum critical point in Dirac semimetals: A sign-problem-free quantum Monte Carlo study Li, Bo-Hai; Li, Zi-Xiang; Yao, Hong Physical Review B, Vol. 101, Issue 8 https://doi.org/10.1103/physrevb.101.085105	journal	February 2020
Critical chiral Heisenberg model with the functional renormalization group Knorr, Benjamin Physical Review B, Vol. 97, Issue 7 https://doi.org/10.1103/physrevb.97.075129	journal	February 2018
Fermion-induced quantum criticality with two length scales in Dirac systems Torres, Emilio; Classen, Laura; Herbut, Igor F. Physical Review B, Vol. 97, Issue 12 https://doi.org/10.1103/physrevb.97.125137	journal	March 2018
Critical behavior of Dirac fermions from perturbative renormalization Ihrig, Bernhard; Mihaila, Luminita N.; Scherer, Michael M. Physical Review B, Vol. 98, Issue 12 https://doi.org/10.1103/physrevb.98.125109	journal	September 2018
Fermion bilinear operator critical exponents at $O (1 / N^{2})$ in the QED-Gross-Neveu universality class Gracey, J. A. Physical Review D, Vol. 98, Issue 8 https://doi.org/10.1103/physrevd.98.085012	journal	October 2018
Critical Wess-Zumino models with four supercharges in the functional renormalization group approach Feldmann, Polina; Wipf, Andreas; Zambelli, Luca Physical Review D, Vol. 98, Issue 9 https://doi.org/10.1103/physrevd.98.096005	journal	November 2018
Chiral Tricritical Point: A New Universality Class in Dirac Systems Yin, Shuai; Jian, Shao-Kai; Yao, Hong Physical Review Letters, Vol. 120, Issue 21 https://doi.org/10.1103/physrevlett.120.215702	journal	May 2018
Collisionless Transport Close to a Fermionic Quantum Critical Point in Dirac Materials Roy, Bitan; Juričić, Vladimir Physical Review Letters, Vol. 121, Issue 13 https://doi.org/10.1103/physrevlett.121.137601	journal	September 2018
Valence Bond Orders at Charge Neutrality in a Possible Two-Orbital Extended Hubbard Model for Twisted Bilayer Graphene Da Liao, Yuan; Meng, Zi Yang; Xu, Xiao Yan Physical Review Letters, Vol. 123, Issue 15 https://doi.org/10.1103/physrevlett.123.157601	journal	October 2019
Momentum dependence of quantum critical Dirac systems Dabelow, Lennart; Gies, Holger; Knorr, Benjamin GSI Helmholtzzentrum fuer Schwerionenforschung, GSI, Darmstadt https://doi.org/10.15120/gsi-2019-00869	text	January 2019
Four-loop critical exponents for the Gross-Neveu-Yukawa models Zerf, Nikolai; Mihaila, Luminita N.; Marquard, Peter Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-12477	text	January 2017
Momentum dependence of quantum critical Dirac systems Dabelow, Lennart; Gies, Holger; Knorr, Benjamin Physical Review D, Vol. 99, Issue 12 https://doi.org/10.1103/physrevd.99.125019	journal	June 2019
Critical Wess-Zumino models with four supercharges in the functional renormalization group approach Feldmann, Polina; Wipf, Andreas; Zambelli, Luca College Park : American Physical Society (APS) https://doi.org/10.15488/4913	other	January 2018
Critical (Chiral) Heisenberg Model with the Functional Renormalisation Group Knorr, Benjamin arXiv https://doi.org/10.48550/arxiv.1708.06200	text	January 2017
Four-loop critical exponents for the Gross-Neveu-Yukawa models Zerf, Nikolai; Mihaila, Luminita N.; Marquard, Peter arXiv https://doi.org/10.48550/arxiv.1709.05057	text	January 2017
Chiral tricritical point: a new universality class in Dirac systems Yin, Shuai; Jian, Shao-Kai; Yao, Hong arXiv https://doi.org/10.48550/arxiv.1711.10473	text	January 2017
Fermion-induced quantum criticality with two length scales in Dirac systems Torres, Emilio; Classen, Laura; Herbut, Igor F. arXiv https://doi.org/10.48550/arxiv.1802.00364	text	January 2018
Critical behavior of Dirac fermions from perturbative renormalization Ihrig, Bernhard; Mihaila, Luminita N.; Scherer, Michael M. arXiv https://doi.org/10.48550/arxiv.1806.04977	text	January 2018
Hybrid-Monte-Carlo study of competing order in the extended fermionic Hubbard model on the hexagonal lattice Buividovich, Pavel; Smith, Dominik; Ulybyshev, Maksim arXiv https://doi.org/10.48550/arxiv.1807.07025	text	January 2018

Similar Records

Pressure Induced Topological Quantum Phase Transition in Weyl Semimetal T_d-MoTe₂

Journal Article · Fri Aug 07 00:00:00 EDT 2020 · Journal of the Physical Society of Japan · OSTI ID:1412714

Guguchia, Zurab; dos Santos, Antonio M.; von Rohr, Fabian O.; +11 more

Signatures of a magnetic-field-induced Lifshitz transition in the ultra-quantum limit of the topological semimetal ZrTe₅

Journal Article · Thu Dec 01 00:00:00 EST 2022 · Nature Communications · OSTI ID:1412714

Galeski, Stanislaw; Legg, Henry F.; Wawrzyńczak, R.; +11 more

Fermion-induced quantum criticality with two length scales in Dirac systems

Journal Article · Thu Mar 22 00:00:00 EDT 2018 · Physical Review B · OSTI ID:1412714

Torres, Emilio; Classen, Laura; Herbut, Igor F.; +1 more

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
critical exponents
first order phase transitions
quantum phase transitions
second order phase transitions
Dirac semimetal
graphene
functional renormalization group
particles & fields
statistical physics
condensed matter & materials physics

Title: Fluctuation-induced continuous transition and quantum criticality in Dirac semimetals

Citation Formats

References (105)

Cited By (19)

Similar Records

Related Subjects