Off-diagonal long-range order implies vanishing charge gap
| Autor: | Haruki Watanabe, Hal Tasaki |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Quantum Physics Statistical Mechanics (cond-mat.stat-mech) Strongly Correlated Electrons (cond-mat.str-el) Condensed Matter - Superconductivity Diagonal Lattice (group) FOS: Physical sciences Charge (physics) Fermion Symmetry (physics) Superconductivity (cond-mat.supr-con) Condensed Matter - Strongly Correlated Electrons Quantum Gases (cond-mat.quant-gas) Quantum mechanics Condensed Matter - Quantum Gases Quantum Physics (quant-ph) Ground state Quantum Condensed Matter - Statistical Mechanics Boson |
| Zdroj: | Physical Review B. 104 |
| ISSN: | 2469-9969 2469-9950 |
| DOI: | 10.1103/physrevb.104.l180501 |
| Popis: | For a large class of quantum many-body systems with U(1) symmetry, we prove a general inequality that relates the (off-diagonal) long-range order with the charge gap. For a system of bosons or fermions on a lattice or in the continuum, the inequality implies that a ground state with off-diagonal long-range order inevitably has a vanishing charge gap, and hence is characterized by nonzero charge susceptibility. For a quantum spin system, the inequality implies that a ground state within a magnetization plateau cannot have transverse long-range order. Comment: 10 pages, no figures. Minor imporvments in versions 2 and 3. There is a 16 minutes video in which the main results of the paper are described. See https://youtu.be/fvZdgV8Ik-8 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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