Quantum physics in one dimension

By Thierry Giamarchi. 2004

4,078 citations recorded by the source corpus.

Subfields: Physical and Theoretical Chemistry

View Paper: https://www.semanticscholar.org/paper/4c42f07d606f510b7409227db33bb41627bde1b2

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In Physical and Theoretical Chemistry

Citations in the corpus

Electrodynamics of correlated electron materials (2011, background): “Depending on the state of matter, these modes can take the form of paramagnons for a regular metal (Monthoux et al., 2007), spinons in the Luttinger liquid (Giamarchi, 2004a), triplons in spindimers (Giamarchi et al., 2008), triplet excitons in insulators (see subsection III.”
The nonperturbative functional renormalization group and its applications (2020, background): “rrelated electrons is posed by electrons moving through a one-dimensional metallic wire with one or a few impurities [619,620]. Interacting electrons in one-dimensional metals form a Luttinger liquid [621], which, unlike Fermi liquids, has no resemblance to a Fermi gas. While perturbation theory div”
Signatures of Dirac cones in a DMRG study of the Kagome Heisenberg model (2016, background): “Assuming that the U(1) symmetry is preserved, the most relevant perturbation is λ cos 2φ, which is irrelevant when K > 1/2 [61].”
Many-body physics with individually controlled Rydberg atoms (2020, methodology): “[90] In one dimension, they could also be considered as free fermions, using the Wigner-Jordan transformation [91].”
Antiferromagnetic spintronics (2016, background): “Phys., Vol. 90, No. 1, January–March 2018 015005-6 they have been the objects of intense research in condensed matter physics for more than 60 years (Giamarchi, 2003; Balents, 2010).”
Quantum Phase Transitions in Transverse Field Spin Models: From Statistical Physics to Quantum Information (2010, background): “nization, let us brieﬂy discuss systemsofinteractingfermionsin onedimension. It turns out that many such systems are described by TomonagaLuttinger liquid (TLL) theory (von Delft and Schoeller, 1998; Giamarchi, 2004; Giuliani and Vignale, 2005; Gogolin et al., 1998; Haldane, 1980, 1981a,b; Mahan, 20”
Quantum Many-Body Scars: A Quasiparticle Perspective (2022, background): “Starting from the ground state, the authors cyclically vary the contact interaction strength; as the Hamiltonian of the gas is close to an integrable one (the Lieb–Liniger model (177, 178)), this process maps one eigenstate to another higher up in energy instead of heating up the gas.”
Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases (2016, background): “Celebrated examples from condensed matter physics include such diverse cases as the fractionalization of charge and emergence of topological order in the quantum Hall effect, high-Tc superconductivity, or the breakdown of Landau’s Fermi liquid theory in 1D, replaced by the Luttinger liquid paradigm ”
Quantum spin liquid states (2016, methodology): “Fortunately, the antiferromagnetic spin-1/2 chain can be solved using the exact Bethe ansatz technique (Giamarchi, 2003).”
Theory of ultracold atomic Fermi gases (2007, background): “For a review on the properties of Luttinger liquids see, e.g., Voit (1995) and Giamarchi (2004).”