site design / logo © 2020 Stack Exchange Inc; user contributions licensed under cc by-sa. AB - Quantum Monte Carlo (QMC) simulations of correlated electron systems provide unbiased information about system behavior at a quantum critical point (QCP) and can verify or disprove the existing theories of non-Fermi liquid (NFL) behavior at a QCP. $$ i M = \bar{u}_{s_i}(p) [i\Sigma_{ij}(k)] u_{s_j}(p), $$ The mass matrix: $$ i\Sigma_{ij}(k) = - \int \frac{d^4 k}{(2\pi)^4}~ y_{im}~ P_R ~\frac {p\!\!\!/+k\!\!\!/}{(p+k)^2+i\epsilon}~ P_l \frac{y_{jm}}{(k)^2-m_x^2+i\epsilon} $$, After Feynman parametrization, the integral is divergent at d=4, and I used the Pauli-Villars regularization as in Peskin's book Equ. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. We show that one can extract from QMC data the zero-temperature form of fermionic self-energy Σ(ω) even though the leading contribution to the self-energy comes from thermal effects. Fermion self-energy. title = "Identification of non-Fermi liquid fermionic self-energy from quantum Monte Carlo data". P_R^2 ~ p\!\!\!/ \int^1_0~ dx~ (1-x) ~ \log\Big( \frac{x\mu^2}{(1-x)m^2-xp^2} \Big) \\ Does the angular measure matter in dimensional regularization? rev 2020.11.24.38066, The best answers are voted up and rise to the top, Physics Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us, “Question closed” notifications experiment results and graduation, MAINTENANCE WARNING: Possible downtime early morning Dec 2/4/9 UTC (8:30PM…. We also thank the Center for Quantum Simulation Sciences in the Institute of Physics, Chinese Academy of Sciences, the Computational Initiative at the Faculty of Science at the University of Hong Kong and the Tianhe platforms at the National Supercomputer Centers in Tianjin and Guangzhou for their technical support and generous allocation of CPU time. Dive into the research topics of 'Identification of non-Fermi liquid fermionic self-energy from quantum Monte Carlo data'. If such… was supported by the Office of Basic Energy Sciences, U.S. Department of Energy, under award DE-SC0014402. Our results open up an avenue for QMC studies of quantum critical metals. Xiao Yan Xu, Avraham Klein, Kai Sun, Andrey V. Chubukov, Zi Yang Meng, Research output: Contribution to journal › Article › peer-review. UR - http://www.scopus.com/inward/record.url?scp=85090787455&partnerID=8YFLogxK, UR - http://www.scopus.com/inward/citedby.url?scp=85090787455&partnerID=8YFLogxK, Powered by Pure, Scopus & Elsevier Fingerprint Engine™ © 2020 Elsevier B.V, "We use cookies to help provide and enhance our service and tailor content. dimensional electron gas, interacting via the long-range Coulomb interaction, in the presence of bare mass anisotropy (i.e., with an elliptic noninteracting Fermi surface) by calculating the self- energy, the spectral function, the scattering rate, and the eective mass within the leading order also thank Tarun Grover for helpful discussion on related projects. author = "Xu, {Xiao Yan} and Avraham Klein and Kai Sun and Chubukov, {Andrey V.} and Meng, {Zi Yang}". Use MathJax to format equations. N1 - Funding Information: N2 - Quantum Monte Carlo (QMC) simulations of correlated electron systems provide unbiased information about system behavior at a quantum critical point (QCP) and can verify or disprove the existing theories of non-Fermi liquid (NFL) behavior at a QCP. We analyze in detail the fermionic self-energy Σ(ω,T) in a Fermi liquid (FL) at finite temperature T and frequency ω. / Xu, Xiao Yan; Klein, Avraham; Sun, Kai; Chubukov, Andrey V.; Meng, Zi Yang. To learn more, see our tips on writing great answers. By using our site, you acknowledge that you have read and understand our Cookie Policy, Privacy Policy, and our Terms of Service. (7.19) when calculating the electron self energy, then he set $p\!\!\!/ = m_0$ the mass of the electron according to a scheme indeed I didn't understand now too much, but for my case the external and the propagating fermions are massless, so how $p\!\!\!/$ can be evaluated ? Is a software open source if its source code is published by its copyright owner but cannot be used without a commercial license? To subscribe to this RSS feed, copy and paste this URL into your RSS reader. A version of this model that combines two antipodal patches of the Fermi surface is amenable to a … Abstract. We acknowledge the support from RGC of Hong Kong SAR China through 17303019 and 17301420, MOST through the National Key Research and Development Program (2016YFA0300502). story about man trapped in dream. Choosing THHN colors when running 2 circuits together, Generic word for firearms with long barrels. We show that one can extract from QMC data the zero-temperature form of fermionic self-energy Σ(ω) even though the leading contribution to the self-energy comes from thermal effects. The critical behavior of the free energy may be derived from the critical behavior of the fermionic quasiparticles by expressing the free energy density in terms of the fermionic self-energy where is a normalized angular integral over the Fermi surface. that ended up to, $$ \Sigma_{ij}(k) = \frac{ y_{jm} y_{im} \Gamma(2)^{-1}}{(16\pi^2)} New “Touched” feats, what exactly does ‘appropriate level’ mean? Quantum Monte Carlo (QMC) simulations of correlated electron systems provide unbiased information about system behavior at a quantum critical point (QCP) and can verify or disprove the existing theories of non-Fermi liquid (NFL) behavior at a QCP. I try to calculate the mass matrix for a massless fermion mediated by a loop of massless (right handed) neutrino and a scalar like the next diagram. However, simulations are carried out at a finite temperature, where quantum critical features are masked by finite-temperature effects. Active 3 years, 10 months ago. “…presume not God to scan” like a puzzle–need to be analysed. X.Y.X. However, simulations are carried out at a finite temperature, where quantum critical features are masked by finite-temperature effects. Why is the battery turned off for checking the voltage on the A320? Note that (7) now includes an extended portion of the Fermi surface; contrast that with (5), where the one-dimensional chiral fermion theory for each ˆn describes only a single point on the Fermi … We show that one can extract from QMC data the zero-temperature form of fermionic self-energy Σ(ω) even though the leading contribution to the self-energy comes from thermal effects. @article{06481cd5254d4f558d1191bd7e6c7ac9. We find that the frequency dependence of Σ(ω) agrees well with the analytic form obtained within the Eliashberg theory of dynamical quantum criticality, and obeys ω2/3 scaling at low frequencies. We show that one can extract from QMC data the zero-temperature form of fermionic self-energy Σ(ω) even though the leading contribution to the self-energy comes from thermal effects. Here, we present a theoretical framework within which it is possible to separate thermal and quantum effects and extract the information about NFL physics at T = 0. Are 4/8 in 60bpm and 4/4 in 120bpm the same? We demonstrate our method for a specific example of 2D fermions near an Ising ferromagnetic QCP. 2 $\begingroup$ I try to calculate the mass matrix for a massless fermion mediated by a loop of massless (right handed) neutrino and a scalar like the next diagram. (7.18), We find that the frequency dependence of Σ(ω) agrees well with the analytic form obtained within the Eliashberg theory of dynamical quantum criticality, and obeys ω2/3 scaling at low frequencies.

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