Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Dynamical exponent of a quantum critical itinerant ferromagnet: A Monte Carlo study

Journal Article · · Physical Review. B
ORCiD logo [1];  [2]; ORCiD logo [3];  [4];  [5]; ORCiD logo [6]; ORCiD logo [7]
  1. Chinese Academy of Sciences (CAS), Beijing (China); University of Chinese Academy of Sciences, Beijing (China); OSTI
  2. Chinese Academy of Sciences (CAS), Beijing (China); University of Chinese Academy of Sciences, Beijing (China)
  3. Ariel University (Israel)
  4. University of Florida, Gainesville, FL (United States)
  5. University of Michigan, Ann Arbor, MI (United States)
  6. University of Minnesota, Minneapolis, MN (United States)
  7. University of Hong Kong, Pokfulam (Hong Kong)
+ Show Author Affiliations

Here we consider the effect of the coupling between two-dimensional (2D) quantum rotors near an XY ferromagnetic quantum critical point and spins of itinerant fermions. We analyze how this coupling affects the dynamics of rotors and the self-energy of fermions. A common belief is that near a q = 0 ferromagnetic transition, fermions induce an Ω/q Landau damping of rotors (i.e., the dynamical critical exponent is z = 3) and Landau overdamped rotors give rise to non-Fermi liquid fermionic self-energy Σ∝ω2/3. This behavior has been confirmed in previous quantum Monte Carlo (QMC) studies. Here we show that for the XY case the behavior is different. We report the results of large-scale quantum Monte Carlo simulations, which show that at small frequencies z = 2 and Σ∝ω1/2. We argue that the new behavior is associated with the fact that a fermionic spin is by itself not a conserved quantity due to spin-spin coupling to rotors, and a combination of self-energy and vertex corrections replaces 1/q in the Landau damping by a constant. We discuss the implication of these results to experiments.

Research Organization:
University of Minnesota, Minneapolis, MN (United States)
Sponsoring Organization:
Chinese Academy of Sciences; National Science Foundation (NSF); RGC of Hong Kong SAR of China; USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0014402
OSTI ID:
1979777
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 4 Vol. 105; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (46)

Quantum Phase Transitions book January 2011
Identification of non-Fermi liquid fermionic self-energy from quantum Monte Carlo data journal September 2020
Strange-metal behaviour in a pure ferromagnetic Kondo lattice journal March 2020
Spin Fluctuations in Itinerant Electron Magnetism journal August 1978
Itinerant quantum critical point with fermion pockets and hotspots journal August 2019
Quantum-critical theory of the spin-fermion model and its application to cuprates: Normal state analysis journal March 2003
Revealing fermionic quantum criticality from new Monte Carlo techniques journal August 2019
Optical response of correlated electron systems journal December 2016
Quantum critical phenomena journal August 1976
Effect of a nonzero temperature on quantum critical points in itinerant fermion systems journal September 1993
Low-energy properties of fermions with singular interactions journal November 1994
Quantum theory of a nematic Fermi fluid journal October 2001
Depleted Kondo lattices: Quantum Monte Carlo and mean-field calculations journal February 2002
Nature of the quantum phase transition in clean itinerant Heisenberg ferromagnets journal January 2003
Ward identities for strongly coupled Eliashberg theories journal August 2005
Nonanalytic corrections to the specific heat of a three-dimensional Fermi liquid journal January 2006
Quantum critical behavior in itinerant electron systems: Eliashberg theory and instability of a ferromagnetic quantum critical point journal November 2006
Nonanalytic paramagnetic response of itinerant fermions away and near a ferromagnetic quantum phase transition journal February 2009
Quantum phase transitions of metals in two spatial dimensions. I. Ising-nematic order journal August 2010
Magnetic relaxation in uranium ferromagnetic superconductors journal December 2013
Anomalous dynamical scaling from nematic and U(1) gauge field fluctuations in two-dimensional metals journal July 2015
Finite-temperature scaling close to Ising-nematic quantum critical points in two-dimensional metals journal November 2016
Self-learning Monte Carlo method and cumulative update in fermion systems journal June 2017
Self-learning quantum Monte Carlo method in interacting fermion systems journal July 2017
Dynamical susceptibility near a long-wavelength critical point with a nonconserved order parameter journal April 2018
Monte Carlo calculations of coupled boson-fermion systems. I journal October 1981
Infinite variance in fermion quantum Monte Carlo calculations journal March 2016
Constrained sampling method for analytic continuation journal December 2016
Inhomogeneous Phase Formation on the Border of Itinerant Ferromagnetism journal November 2009
Spin Conservation and Fermi Liquid near a Ferromagnetic Quantum Critical Point journal November 2009
Anisotropic Critical Magnetic Fluctuations in the Ferromagnetic Superconductor UCoGe journal October 2011
Non-Landau Damping of Magnetic Excitations in Systems with Localized and Itinerant Electrons journal January 2014
Anisotropic c − f Hybridization in the Ferromagnetic Quantum Critical Metal CeRh 6 Ge 4 journal May 2021
Amplitude Mode in Quantum Magnets via Dimensional Crossover journal June 2021
Gauge field, Aharonov-Bohm flux, and high- T c superconductivity journal August 1989
Magnetic Excitations in the Ferromagentic Superconductor U G e 2 journal November 2003
Normal State Properties of Quantum Critical Metals at Finite Temperature journal September 2020
Ising Nematic Quantum Critical Point in a Metal: A Monte Carlo Study journal August 2016
Non-Fermi Liquid at ( 2 + 1 ) D Ferromagnetic Quantum Critical Point journal September 2017
How generic scale invariance influences quantum and classical phase transitions journal April 2005
Fermi-liquid instabilities at magnetic quantum phase transitions journal August 2007
Magnetic Field-Induced Superconductivity in the Ferromagnet URhGe journal August 2005
Ferromagnetic Quantum Critical Point in the Heavy-Fermion Metal YbNi4(P1-xAsx)2 journal February 2013
Recent Developments in Non-Fermi Liquid Theory journal March 2018
Monte Carlo Studies of Quantum Critical Metals journal March 2019
Quantum Order-by-Disorder in Strongly Correlated Metals journal March 2018

Similar Records

Related Subjects

36 MATERIALS SCIENCE
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Green's function methods
Monte Carlo methods
ferrimagnets
magnetic phase transitions
magnetic susceptibility
magnetization dynamics
path-integral Monte Carlo
strongly correlated systems